### DEPARTMENT OF CHEMISTRY

##### Course Description

B.Sc. Chemistry

CHM 101 General Physical Chemistry 3 Credits

Atoms, Dalton’s atomic theory and Atomic masses. Fundamental particles of the atom and Atomic structure. Modern electronic theory of atoms. Periodicity of the elements. Mole concept, Chemical formulae equations and calculations. States of matter: gas, liquid and solid. Energetics and thermochemistry. Chemical kinetics: equilibria and electrochemistry.

45h (T); C

CHM 112 General Organic Chemistry 2 Credits

Historical survey of the development and importance of organic chemistry. Functional groups, nomenclature and classes of organic compounds. Basic organic chemistry reactions of saturated and unsaturated hydrocarbons Stereochemistry of hydrocarbon compounds. Isolation and purification of organic compounds.

30h (T); C

CHM 115 General Practical Chemistry I 2 Credits

Theory and practice of quantitative chemical analysis, calculation, data analysis and presentation, Acid-base, oxidation-reduction reactions, precipitation and complexometric titrations. Gravimetric analysis.

15h (T); 45h (P), C

CHM 116 General Practical Chemistry II 1 Credit

Qualitative inorganic and organic analysis for elements in Groups IA, IIA, IIIA,IVA, IB, IIB and IIIB. Chemical analysis for functional groups: acidic, ketonic, carboxylic.

45h (P); C

CHM 131 Chemistry and Society 1 Credit

Renewable and non-renewable resources, energy source and depletion. Environmental effects of chemicals. Plastics, textiles and materials for aerospace technology. Chemical and radio-chemical hazards.

15h (T); E

CHM 132 General Inorganic Chemistry 2 Credits

Periodic table and periodic properties. Chemical bonding. Structures of solid. Chemistry of selected representative elements. Qualitative analysis. Hybridisation.

30h (T); C

CHM 212 Basic Physical Chemistry 3 Credits

Kinetic theory of gases. First law of thermodynamics. Phase equilibria,chemical kinetics and reaction mechanisms. Electrochemistry and electrochemical cells.

30h (T), 45h (P); C

CHM 213 Basic Analytical Chemistry 2 Credits

Theory of sampling. Statistical treatment of data. Theory of errors. Chemical methods of analysis: volUTMEtric, gravimetric, complexometric and kinetic. Introduction to separation methods.

15h (T), 45h (P); C

CHM 235 Basic Organic Chemistry 3 Credits

Determination of structures of organic compounds. Electron theory in organic chemistry. Factors affecting structure and physical properties of organic compounds. Factors affecting availability of electrons. Stereochemistry of oxygenated organic compounds. Substitution reactions in alkanes and alkenes. Electrophilic and neucleophilic substitution reactions in other compounds.

30h (T), 45h (P); C

CHM 236 Basic Inorganic Chemistry 3 Credits

Simple considerations of molecular orbital, valence bond and crystal field theories. Chemistry of hydrogen. Noble gases, boron and aluminium, carbon and silicon, nitrogen and phosphorus, oxygen and sulphur and the halogens. Introduction to organometallic chemistry

30h (T), 45h (P); C

CHM 301 Chemical Kinetics and Thermodynamics 3 Credits

Chemical kinetics. Theory of the rates of reaction in both gas phase and solutions Enzyme and acid-base catalysis. Chemical thermodynamics. Second and third laws of thermodynamics. Solutions and colligative properties.

45h (T) ; C, PR: CHM 212, CC: CHM 325

CHM 307 Organometallic Chemistry I 2 Credits

Classification of organometallic compounds. Preparation, structure and reactions including abnormal behaviour of organometallic compounds. Synthetic utility of organometallics. Generation and detection of free radicals from organometallic compounds.

30h (T); E, PR: CHM 235, CHM 236

CHM 312 Polymer Chemistry I 2 Credits

Definitions of basic terms. Outline sources of raw materials for polymers. Phase systems for polymerisation. Step-growth polymerisation free radical addition polymerisation, ionic polymerisation. Solubility and solution properties of polymers. Fibre forming polymers.

15h (T), 45h (P); E

CHM 318 Industrial Chemical Processes I 2 Credits

Production of primary intermediates and synthesis of industrial organic chemicals, polymers, adhesives, dyes, explosives, insecticides, herbicides, flavouring agents and pharmaceuticals. Fermentation process.

15h (T), 45 (P); E

CHM 320 Industrial Chemical Technology I 2 Credits

Heat transfer and mass transfer processes. Unit operations. Chemical technology equipment.

30h (T); E

CHM 322 Practical Inorganic Chemistry 2 Credits

Preparation and structural studies of inorganic and coordination compounds. Use of physical methods, chromatography, magnetometry, mass, infrared and electronic spectroscopy for the characterisation of the compounds.

90h (P); C, CC: CHM 324

CHM 324 Inorganic Chemistry 3 Credits

Comparative chemistry of the following elements (a) Ga, In, Ti, (b) Ge, Sn, Pb, (c) As, Sb, Bi and (d) Se, Te, Po. Chemistry of transition metals, lanthanides and actinides. Ligand and Crystal field theories. Introduction to radio-chemistry. Role of metals in biochemical systems.45h (T); C, PR: CHM 236; CC: CHM 322

CHM 325 Practical Physical Chemistry 2 Credits

Chemical kinetics. Determination of rate constant, activation energy and order of reaction. Determination of standard thermodynamic quantities for a reaction. Phase rule. Thermochemistry and use of electrochemical principles in titration reactions. Conductance of electrolyte solutions. Solubility and viscosity measurements.

90h (P); C, PR: CHM 212; CC: CHM 301

CHM 328 Environmental Chemistry I 2 Credits

Brief survey of air, water and land pollution, and their effects on the environment. Formation and control of air pollutants. Persistent organic pollutants, noise and thermal pollutions. Solid wastes and their treatments. Energy sources and their pollution problems.

30h (T); C

CHM 329 Practical Organic Chemistry 2 Credits

Preparation of simple organic compounds. Chemical transformations to show the concept of synthesis and mechanisms of organic reactions.

90h (P); C, PR: CHM 235 ; CC: CHM 331

CHM 330 Natural Products I 2 Credits

Extraction, purificationand isolation of natural products. Introduction to structural elucidation of natural products. Classification and chemistry of carbohydrates,terpenes, steroids, glycosides, alkaloids, amino acids, proteins and lipids.

30h (T); C, PR: CHM 235

CHM 331 Organic Chemistry 3 Credits

Alcohols and their reactions. Ethers and epoxides. Carboxylic acids and their derivatives. Aldehydes, ketones and amines. Formation of carbeanions and their reactions. Aromatics, alicyclic and heterocyclic chemistry. Polyfunctional compounds.

45(T); C, PR: CHM 235; CC: CHM 329

CHM 334 Colour and Textile Chemistry 2 Credits

Colour and constitution. Physical and chemical properties of dyes and textiles. Classification of dyes and fibres. Dyeing synthetic fibres. Preparation and dyeing of natural and synthetic fibres. Colour fastness properties. Quality control procedures in the textile and dye industries.

15h (T); 45h (P), E

CHM 336 InstrUTMEntal Methods of Analysis 2 Credits

Basic principles and applications: flame photometry, atomic absorption photometry, X-Ray method, fluorescence and phosphorescence, refractometry, polarimetry, colorimetry, voltametry and electrophoresis.

15h (T), 45h (P); C

CHM 340 Industrial Raw Materials Resource Inventory 1 Credit

Survey of Nigeria’s industries and their raw material requirements. Mineral chemistry. Fossils and their uses. Plant and animal products. Nuclear, solar and hydrodynamic sources of energy. Potentials and applications of locally available raw materials as industrial feedstocks.

15h (T); E CHM 341 Quantum Chemistry I 3 Credits

Historical development of atomic structure. Schrodinger’s equation and its application to simple systems including the hydrogen atom. Spectroscopic states of atoms and atomic spectra. Theory of chemical bonding: molecular orbital theory, valence bond theory and Huckel molecular orbital theory.

45h (T); C, PR: CHM 212, 236

CHM 342 Industrial Management 2 Credits

Industrial group and organisationalbehaviour. Motivation industrial law, legislation in wages, trade marks and patents. An introduction to the concepts and procedures of decision making in the management of business operations.

30h (T); E

CHM 343 Organic Reaction Mechanisms 2 Credits

Studies of types and mechanisms involved in substitution, elimination, addition and rearrangement reactions of aliphatic and aromatic compounds, and natural products. Oxidation and reduction mechanisms. Reactions of the intermolecular and intramolecular cyclisation types and stereochemical considerations.

30h (T); E, PR: CHM 235

CHM 344 Surface and Colloid Chemistry 2 Credits

Some general principles relating to surfaces. Electrical potentials. Attractive forces, solid-gas interface liquid-liquid interface and solidliquid interface. Definition of colloid and history of colloid development. Types of colloids, polymersr proteins, gels, association colloids and detergent.

30h (T); E

CHM 345 Applied Spectroscopy 2 Credits

Basic principles and applications of UV, IR, NMR and Mass spectroscopy in the determination of the constitution and elucidation of structures of compounds.

15h (T), 45h (P); C

CHM 401 Theory of Molecular Spectroscopy 2 Credits

Basic principles of spectroscopy theory: Basic instrUTMEntation and applications of microwave, infrared and Raman, nuclear magnetic resonance (NMR), electron spin resonance (ESR), electronic Mossbauer spectroscopy and some latest spectroscopic techniques.

30h (T); C, PR: CHM 341

CHM 402 Quantum Chemistry II 2 Credits

Postulates of quantum mechanics, operators and angular momentum. Solution of the hydrogen atom problem. Theory of atomic spectra. Self Consistent Field theory. Computational aspect. Perturbation and variation methods. Computer applications.

30h (T); E, PR: CHM 341

CHM 404 Statistical Thermodynamics 2 Credits

Probability distribution laws. Statistical basis of entropy. Molecular partition functions: evaluation and applications. The canonical ensembles. Some applications of statistical thermodynamics, Maxwell-Boltzmann distribution of velocities, heat capacities, equipartition of energy and equilibrium state.

30h (T); E, PR: CHM 301, 341 CHM 406 Electrochemistry 2 Credits

Conductance of electrolyte solutions, transport number and the migration of ions in an electric field. Thermodynamics of electrolyte solutions. Electrochemical cells and electrode processes.

30h (T); C, PR: CHM 301

CHM 415 Environmental Chemistry II 2 Credits

Chemistry of natural waters, redox equilibria and complexation in natural waters. Catalysis by micro-organisms in water. Detailed water analysis. Water and waste water treatment with reference to specific industries.

15h (T), 45h (P); E, PR: CHM 328

CHM 418 Heterocyclic Chemistry 2 Credits

The synthesis and mechanism of fused heterocyclic system: quinolines, isoquinolines, benzofurans, benzothiophenes, indoles, benzophlyium salts, coumarins and chromones. Occurrence in nature and application of heterocyclic systems in drug synthesis.

30h (T); E, PR: CHM 331

CHM 419 Physical Organic Chemistry 2 Credits

Preparation and reactions of stereoisomers. Stereo selectivity, neighbouring group effects and a few special topics in physical organic chemistry.

30h (T); E, PR: CHM 345

CHM 420 Preparative Organic Chemistry 2 Credits

Modern methods in the synthesis of organic compounds. Selected literature to illustrate modern principles and approaches to synthesis. Thermal, photolytic and sigmatropic rearrangements. Fragmentations.

30h (T); E, PR: CHM 331

CHM 423 Coordination Chemistry 2 Credits

Definition, historical development and types of ligands. Coordination numbers and structural aspects. Nomenclature and isomerism. Preparation and thermodynamic stability. Structure and bonding, structural investigation by physical methods. Magnetometry and spectroscopic techniques. Reaction of metal complexes. Application of coordination compounds.

30h (T), C, PR: CHM 324

CHM 424 Non-aqueousSolvent 2 Credits

Active and passive solvent behaviour. Solvation and solvent structure. Solvates and solubilities. Solvolysis, liquid ammonia, anhydrous HF, 100% H2SO4, NO. Bromine trifluorine: physical properties, structure and solubilities. Techniques used in studying species in solutions. Conductivity and cryoscopic data. Examples and classification of organic and inorganic non-protonic liquids. Electrochemical applications.

30h (T); E, PR: CHM 324

CHM 425 Reaction Kinetics 2 Credits

Collision theory. Transition state theory. Reaction co-ordinates. Unimolecular reaction theory. Bimolecular reaction mechanisms. Chain reaction mechanisms. Catalysis and heterogenous reactions. Photochemical reaction mechanisms.

30h (T); E, PR: CHM 301

CHM 427 Inorganic Reaction Kinetics and Mechanisms 2 Credits Redox reactions; Mechanisms of electron transfer reactions: Outer-and inner-sphere mechanisms. Substitution reactions. General mechanism of square planar complexes of Pt (II) and other d8 metal ions. Substitution reactions in octahedral complexes.

30h (T); E, PR: CHM 324

CHM 429 Seminar 1 Credit

Literature search. Presentation of seminars on comprehensive literature reviews of selected topics of research interests.

45h (P), C

CHM 430 Radio-Nuclear Chemistry 2 Credits

Natural radiations, fusion, fission, decay processes and nature of radiation. Nuclear models. Energetics of nuclear reaction. Principles and measurement of radioactivity. Applications of radioactivity. Radiation hazards and protection.

30h (T); E, PR: CHM 324

CHM 431 Colour Chemistry and Textile Technology 2 Credits

Chemistry and application of reactive dyes. Dyeing machineries. Colouring matters for food, drugs, ceramics, cosmetics, paper and colour photography.

15h (T), 45h (P); E, PR: CHM 334

CHM 432 Industrial Chemical Technology II 2 Credits

Hydrogen and carbon monoxide synthesis. Gas oxoprocess. Water gas. Source of hydrogen and its application. Industrial organic materials. Raw materials. Technical and economic principles of processes and product routes. Flow diagrams. Selected oils and fats, soaps and detergents, sugar, paint, varnishes, plastics, wood pulp and paper.

30h (T); E, PR: CHM 318

CHM 434 Medicinal Chemistry 2 Credits

Chemistry, synthesis, structure-activity relationship and medicinal use of sulfonamides, sulfones, antibiotics, antimalarials, amoebicides, triponocides, antihelminthics, antineoplastics and antivirial agents. Chemistry, synthesis, structure activity relationships, synthesis analogue and medicinal use of alkaloids, glycoside, lipids and volatile oils.

30h (T), E; PR: CHM 330

CHM 437 Photochemistry and Pericyclic Reaction 2 Credits

Interaction of radiation with matter. Electronic excitation, selection rules, deactivation routes, sensitisation, quenching, photofragmentation, rearrangement and pericyclic reactions. Molecular orbital symmetry.

15h (T), 45h (P); E, PR: CHM 324, 343

CHM 438 Organometallic Chemistry II 2 Credits

Introduction to organometallic compounds of the transition elements. Classification of ligands, electron rule, bonding, preparation of organic transition metal compounds. Reaction and structures of organometallic compounds of transition elements. The organic chemistry of ferrocene and related compounds. The role of organomentallic compounds in some catalytic reactions.

30h (T); E, PR: CHM 324

CHM 439 Analytical Chemistry II 2 Credits

Potentiometric and pH methods. Conducto metric methods. Electroanalytical methods. Radiochemical methods. Chromatography and solvent extraction. Amperometry, voltametry, potentiometry and coulometry. 15h (T), 45h (P); E, PR: CHM 336

CHM 440 Polymer Chemistry II 2 Credits

Copolymerisation. Stereospecific Polymerisation: polymer characterization -molar masses, chain dimensions and structures. Degradation of polymers. Polymer additives, polymeric surface coatings and adhesives. Industrially important thermoplastics and thermosetting polymers.

15h (T), 45h (P); E, PR: CHM 312

CHM 441 Industrial Chemical Processes II 2 Credits

Chemical processing of minerals. Metallurgy and hydrometallurgical processes. Industrial electro-chemistry. Manufacture of some heavy inorganic chemicals. Cement and binding materials. Inorganic fertilizers.

30h (T); E, PR: CHM 340

CHM 442 Natural Product II 2 Credits

Chemistry of natural products of pharmaceutical importance, terpenoids, steroids, alkaloids, flavanoids, prostagladins and chlorophylls. General and specific methods of isolation, separation, purification and structure determination by chemical and spectroscopic methods. Biosynthesis of selected examples.

30h (T), C, PR: CHM 330

CHM 443 Molecular Polyhedra 2 Credits

Boron hydrides and caged compounds, homocyclic and heterocyclic inorganic rings, phosphorous and nitrogen compounds, sulphur and nitrogen compounds, etc. Metal-metal bonds and metal clusters.

30h (T); E, PR: CHM 324

CHM 444 Symmetry and Group Theory 2 Credits

Symmetry elements, operations and point groups. Group representations and point group character tables. Applications of group theory to molecular vibrations and chemical bonding.

30h (T); C, PR: CHM 341

CHM 499 Project 5 Credits

Each student under the guidance of an approved supervisor is required to conduct research in an area approved by the department, culminating in the submission of a project.

225h (P), C

##### SUMMARY

100 Level

Compulsory Courses: CHM 101 (3), 112 (2), 115 (2), 116 (1), 132 (2) = 10 Credits

Required Courses: MAT 111 (3), 113 (3), PHY 115 (2), 142 (2), 191 (1), 192 (1), ZLY 103 (2), 106 (2), PLB 108 (3), CSC 111 (2), GNS 111 (2), 112 (2) = 25 Credits

Total = 35 Credit

200 Level

Compulsory Courses: CHM 212 (3), 213 (2), 235 (3), 236 (3) = 11 Credits

Required Courses: MAT 201 (3), 205 (2), CSC 211 (2), STA 203 (2), 205 (2), GNS 211 (2), 212 (2), PHY 214 (2), 243 (2), 295 (1), 298 (1) = 21 Credits

Direct Entry Students: GNS 111 (2), 112 (2) = 4 Credits

Total = 32 Credits

DE = 36 Credits

300 Level

Compulsory Courses: CHM 301 (3), 322(2), 324 (3), 325 (2), 328 (2), 329 (2), 330 (2), 331 (3), 336 (2), 341 (3), 345 (2) = 26 Credits

Required Courses: GNS 311 (2), GSE 301 (3) = 5 Credits

Electives Courses: At least 10 Credits from the following courses:

CHM 343 (2), 307 (2), 312 (2), 334 (2), 344 (2), 340 (1), 318 (2),

320 (2), 342 (2), ICH 343 (2) = 10 Credits

Total = 41 Credits

400 Level

Compulsory Courses: CHM 401 (2), 406 (2), 423 (2), 429 (1), 442 (2), 444 (2), 499 (5) = 16 Credits

Elective Courses: 14 Credits from either group A or B

Group A: CHM 402 (2), CHM 415 (2), 419 (2), 427 (2), 430 (2), 432 (2), 434 (2), CHM 440 (2), CHM 443 (2)

Group B: 404 (2), CHM 418 (2), 420 (2), 425 (2), 431 (2), 437 (2), 438 (2), 439 (2),441 (2), CHM 424 (2), = 14 Credits

Total = 30 Credits

Graduation Requirements

UTME = 138 Credits

DE = 107 Credits

## DEPARTMENT OF GEOLOGY AND MINERAL SCIENCES

##### Course Description

B.Sc. Geology

GEM 104 Earth History 2 Credits

Origin of the solar system. Origin and evolution of the atmosphere, hydrosphere and organism. Paleoclimates, paleoceanography, paleomagnetism and paleogeography. Fossil. Basic principles of stratigraphy.

15h (T), 45h (P); C

GEM 106 Introduction to Geology 2 Credits

The constitution of the earth. Earthquakes and earth‟s internal structure. Minerals. Magmatism and igneous rock. Weathering, transportation and sedimentary rocks. Metamorphism and metamorphic rocks. Deformation and geological structures.

15h (T), 45h (P); C

GEM 202 Optical Mineralogy 2 Credits

Principles of optical crystallography. Polarizing Microscope. Refraction. Plane polarized light. The Universal Stage. Observational Features: crystallization, colour, mode of aggregation, cleavage and orientation. Systematic identification and description of minerals.

15h (T), 45h (P); C

GEM 205 General Petrology 2 Credits

Magma: ascent and emplacement. Textures, structures and classification of igneous rocks. Metamorphism and Metamorphic rocks. Textures, structures and classification of sedimentary rocks.

15h (T), 45h (P); C

GEM 208 Introduction to Field Geology 2 Credits

Fieldwork requirements and preparation. Types and uses of locationing and directional equipment. Field observations and measurements: lithologies, structures, modes of occurrence and accessibility. Techniques of sampling and storage of geological materials. Data recording and geological interpretations.

90h (P); C

GEM 209 Introduction to Structural Geology and Map Interpretation 2 Credits

Introduction to basic structural elements: folds, faults, lineations, foliations and joints. Topographical maps and their interpretation. Types of geological maps. Geological cross-sections. Map reading and map interpretation. Three-point problems and completion of outcrops.

15h (T), 45h (P); C

GEM 211 Crystallography and Mineralogy 2 Credits

Characteristics of crystals: symmetry elements, forms, systems and indices. Elements of crystal chemistry. The main rock forming minerals. Structures of minerals. Introduction to x-ray crystallography.

15h (T), 45h (P); C GEM 213 Physical Geology 1 Credit

The structure and composition of the earth. Earth‟s surface processes. Agents of weathering, erosion and transportation. The development of land forms: influence of lithology and geological structure.

15h (T); C

GEM 217 Principles of Stratigraphy 1 Credit

History and fundamental principles of stratigraphic thought. Categories of stratigraphic units. The facies concept. Unconfiormites. Correlation using physical and biological criteria. Correlation problems. The geological time scale.

15h (T); C

GEM 222 Mineral Resources and Environmental Geology 2 Credits

Metallic and non-metallic mineral resources, composition, distribution and utilization. Fossil fuels. Surface and underground water. Pollution: sources, hazards and control. Prediction and control of geologic hazards.

30h (T); C

GEM 224 Introduction to Paleontology 2 Credits

Methods of fossilisation. Major uses of fossils in geology. Major groups of macrovertebrates: morphology, taxonomy and evolution. Common fossils in West Africa.

15h (T), 45h (P); C

GEM 304 Geotectonics 2 Credits

Concept and evidence for plate tectonics. Paleomagnetism. Continental drift, sea floor spreading and mid-ocean ridges. Island arcs and transform faults. Plate tectonics in space and time.

30h (T); C

GEM 306 Geophysics 2 Credits

Gravity, magnetism, resistivity and seismology. Geophysical techniques in geological exploration. Interpretation of geophysical data.

30h (T); C

GEM 307 Geochemistry 2 Credits

Basic principles of geochemistry. Origin, structure and composition of the earth. Distribution of elements in the cosmic system. Geochemistry of different rock types. Weathering processes especially in tropical regions. Isotope geochemistry.

30h (T); C

GEM 311 Igneous Petrology 2 Credits

Volcanism and volcanic rocks. Plutonic rocks. Classification of igneous rocks. Petrography of igneous rocks. Physical and chemical properties of magmas. Differentiation of igneous rocks. Phase diagrams and crystallization in silicate systems. Igneous rocks of various geological environments.

15h (T), 45h (P); C, PR: GEM 205 GEM 317 Structural Geology 3 Credits

Concepts of stress and strain. Strain analyses. Deformation mechanism. Geological structures. Geometrical analysis.

30h (T); 45h, (P); C, PR: GEM 209

GEM 319 General Geology for Engineers 3 Credits

Geological processes. Earth‟s internal and external processes. Geomorphology. Properties of rocks and minerals. Classification of igneous, sedimentary and metamorphic rocks. Geotectonics. Elements of structural geology and its relation to engineering structures. (For Engineering students only).

30h (T); 45h (P)

GEM 320 Photogeology and Remote Sensing 2 Credits

Principles and methods of remote sensing. Interpretations of aerial photographs. Satellite imagery and their interpretation: LANDSAT, SPOT, Radar.

15h (T), 45h (P); C

GEM 321 Regional Geology of Africa 2 Credits

African Precambrian domains: geology, structures and evolution of radiometric ages. Development of Planerozoic interior and coastal basins in Africa with emphasis on Nigeria.

30h (T); C

GEM 326 Advanced Geological Mapping 3 Credits

A 4-week independent geological mapping in selected geological province.

135h (P); C, PR: GEM 208

GEM 327 Metamorphism Petrology 3 Credits

Agents and types of metamorphism. Equilibrium. Metamorphic reactions and. textures. Metamorphic assemblages and facies. Types of metamorphic rocks. Geothermometry and geobarometry.

30h (T), 45h (P); C, PR: GEM 205, GEM 211

GEM 328 Sedimentology I 3 Credits

Origin of sediments and sedimentary rocks. Sedimentary processes. Texture and composition of sedimentary rocks. Digenetic processes. Properties of flows and sedimentary structures. Walther‟s law, facies concept and facies analysis. Introduction to depositional environments.

30h (T), 45h (P); C, PR: GEM 205, GEM 211, GEM 217

GEM 398 Students‟ Industrial Work Experience Scheme 3 Credits

A 3-month industrial attachment.

135h (P); C

GEM 401 Seminar 1 Credit

A comprehensive literature review on a selected topic.

45h (P); C GEM 408 Hydrogeology 3 Credits

The hydrological cycle. Hydrologic properties of rocks. Occurrence and movement of groundwater. Types of aquifers. Physical and chemical properties of water. Hydrodynamics. Groundwater and well hydraulics. Development of groundwater resources. Groundwater inventory. Groundwater problems in Nigeria.

30h (T), 45h (P); C

GEM 410 Paleobiology 2 Credits

Principles of Paleobiology. Paleobiologic models. Macro- and micro-evolution. Sampling and statistical analysis of paleontological data.

30h (T); C

GEM 411 Mineral Deposits Geology 3 Credits

Systematic study of solid and energy mineral deposition and genesis. Geological exploration techniques and applications. Solid and energy mineral deposits of Nigeria.

30h (T), 45h (P); C

GEM 414 Applied Geophysics 3 Credits

Principles of geophysical methods. Geophysical surveys in applied geology. Acquisition, processing and interpretation of data. Geophysical case studies: mineral exploration, hydrogeology, environmental and pollution assessment.

30h (T), 45h (P); C, PR: GEM 306

GEM 416 Applied Geochemistry 3 Credits

Application of geochemical principles in mineral exploration and environmental geochemistry. Case histories of geochemical surveys. Geochemical analytical methods.

30h (T), 45h (P); E, PR: GEM 307

GEM 417 Geological Field Trip 2 Credits

A 2-week extended field excursion to the three major geological provinces of Nigeria.

90h (P); C

GEM 420 Marine Geology 3 Credits

Elements of physical, chemical and biological oceanography. Ocean floor: probing, structure, physiography and sampling. Geology of ocean basins. Distribution of marine sediments and mineral resources. Beach erosion and coastal management.

30h (T), 45h (P); C

GEM 421 Palynology 3 Credits

Palynology groups: morphology, taxonomy and paleoecology. Occurrences in the tropics. Relationship of palynomorphs to sedimentation. Palynostratigraphy. Organic matter in sediments. Applications in oil and coal industries. Paleobotany and the concept of continental drift.

30h (T), 45h (P); C

GEM 424 Sedimentology II 3 Credits

Depositional systems. Palaeocurrents and basin analysis. 772

30h (T), 45h (P); E, PR: GEM 328

GEM 425 Mining Geology 3 Credits

Mining methods and techniques. Mining mapping and reserve estimation. Principles of mineral extraction methods. Elements of mine and mineral economics.

30h (T), 45h (P), E, PR: GEM 222, GEM 317

GEM 427 Petroleum Geology 3 Credits

Composition of petroleum. Occurrence of petroleum. Common petroleum bearing facies. Petroleum in sedimentary basins: origin, migration and accumulation of petroleum. Petroleum exploration. Basin analysis and well logging. Petroleum recovery: Primary and secondary methods. The Niger Delta petroleum province.

30h (T), 45h (P); C, PR: GEM 328, GEM 321

GEM 429 Micropaleontology 3 Credits

Study of different groups of fossils. Major microfossil phyla: morphology, test structure, general distribution, ecology and evolution. Classification of protozoa, ostracods and conodonts.

30h (T), 45h (P); C, PR: GEM 224

GEM 437 Engineering Geology 3 Credits

Engineering properties of soils and rocks. Construction aggregates and quarrying techniques. Geological site investigations and foundation problems. Elements of pavement and foundation design.

30h (T), 45h (P); C

GEM 499 Project 5 Credits

Each student under the guidance of an approved supervisor is required to conduct research in an area approved by the Department, culminating in the submission of a project.

225h (P); C

##### SUMMARY

100 Level

Compulsory Courses: GEM 106 (2), 104 (2) = 4 Credits

Required Courses: CHM 101, (3), 112 (2), 115 (2), 116 (1), 132 (2), PHY 115 (2), 125 (3), 142 (2), 191 (1), 192 (1), MAT 111 (3), 112 (3), PLB 101 (3), ZLY 101 (3), GNS 111 (2),112 (2) = 35 Credits

Elective Courses: At least 2 credits from the following: CSC 111 (2), 112 (2) = 2 Credits

Total = 41 Credits

200 Level

Compulsory Courses: GEM 202 (2), 205 (2), 209 (2), 208 (2), 211 (2), 213 (1), 217 (1), 222 (2), 224 (2) = 16 Credits

Required Courses: CHM 212 (3), 213 (2), PHY 243 (2), 293 (2), STA 203 (2), 206 (2), GNS 211 (2), 212 (2), CVE 351 (3) = 20 Credits

Direct Entry Students: GNS 111 (2), 112 (2), GEM 104 (2), 106 (2) = 8 Credits Total = 36 Credits

DE = 44 Credits

300 Level

Compulsory Courses: GEM 304 (2), 306 (2), 307 (2), 311 (2), 327 (3), 328 (3), 317 (3), 320 (2), 321 (2), 326 (3), 398 (3) = 27 Credits

Required Courses: CSC 211 (2), 218 (2), GNS 311 (2), GSE 301 (3) = 9 Credits

Electives Courses: At least 2 credits from the following: CHM 301 (2), 324 (3), 328 (2), 336 (2) = 2 Credits

Total = 38 Credits

400 Level

Compulsory Courses: GEM 401 (1), 408 (3), 410 (2), 411 (3), 414 (3), 417 (2), 421 (3), 420 (3), 427 (3), 429 (3),437 (3),499 (5) = 34 Credits

Elective Courses: GEM 416 (3), 424 (3), 425 (3)

Total = 34 Credits

Graduation Requirements

UTME = 149 Credits

DE = 116 Credits

## DEPARTMENT OF GEOPHYSICS

##### Course Description

B.Sc. Applied Geophysics

GPH 212 Introduction To Earth Physics 2 Credits

Origin of the Earth. The Earth interior – the crust, the mantle and the core. Seismicity and earthquake zones. Occurrence of earthquakes, earthquake epicenter, seismically active zones, earthquake prediction. The nature of the gravity field of the earth. The measurement of gravity and the figure of the earth. The earth‟s magnetic field. Rock magnetism. Polar wandering and continental drift. Heat flow and geothermometry, geothermal gradient, geothermal exploration.

30h (T); C

GPH 222 Introductory Geomathematics 2 Credits

Differential and integral calculus. Types of functions. Vector analysis, matrix algebra, solution of Laplace equations and spherical harmonic analysis. Fourier analysis. Statistical regression analysis, curve fitting techniques and analysis of errors. Bessel equation and Lagendre polynomials. Solution of Matrix equations.

30h (T); C

GPH 234 Introduction to Geophysical Methods 2 Credits

Basic theories of Magnetic, Gravity, Seismic, Radiometric, Electrical and Electromagnetic Methods, Ground Penetrating Radar (GPR), Tomography

30h (T); C

GPH 311 Electrical Methods 2 Credits

Self Potential Method Types of natural Self Potential (SP). Origin of SP- Galvanic Cell Theory. Ph Theory and Sato and Mooney Electrochemical Half Cell Theory. InstrUTMEntation Field Procedures. Data Processing and Interpretation. Applications of SP Methods. Induced Polarization Phenomenon. Membrane polarization. Electrode polarization. Time and frequency domain IP measurements Chargeability, Frequency effects, Percentage Frequency Effect, Metal Factors and Phase measurements. Equivalence of Time and Frequency domain measurements. Time and frequency domain. IP Equipments. Field procedures, data processing and interpretation. Applications of the IP method. Electrical resistivities of rocks and minerals. Elementary Theory Potentials in homogeneous media, Single Current source at depth and at the earth‟s surface. Laplace‟s equation. Apparent Resistivity. Description of Electrode Arrays. Field procedure – Resistivity profiling and depth-sounding techniques. Interpretation methods Computer assisted interpretation techniques. Applications of the electrical resistivity method.

15h (T), 45h (P); C

GPH 323 Magnetic Method 2 Credits

Magnetism of rocks and minerals. Remanence susceptibilities of rocks and minerals. Basic Theory of the Magnetic Method. The Dipole Field. Poisson‟s relation. The main field of the Earth. Diurnal variations. Magnetic storm. Geological effects. InstrUTMEntation and field procedures. Ground Magnetic Survey. Reduction of magnetic data. Anomaly separation and interpretation. Air-borne magnetic surveys. Applications of magnetic methods in mineral exploration, geologic mapping and groundwater exploration. Case histories. 15h (T), 45h (P); C

GPH 335 Gravity Method 2 Credits

Theory of attraction and potential with applications to simple mass distributions. Newton‟s law of gravitation. Acceleration of gravity. Gravitational potential. Potential field equations. Derivatives of the potential. Gravity of the earth. The reference spheroid. The geoid. InstrUTMEnts and Data acquisition. Gravity data reduction. Regional, Residual anomaly separation. Interpretation of gravity anomalies. Depth and total mass estimates. Applications of gravity method in mineral exploration, groundwater and geologic mapping.

15h (T), 45h (P); C

GPH 384: Geophysical Field Methods and InstrUTMEntal Analysis 4 Credits

Study of the essential elements of geophysical data acquisition systems. Seismic surveys using explosive or surface sources. Signal amplification, multiplexed, etc. methods in Electrical prospecting. Elements of currents and voltage measurement circuitries. Field surveys using gravimeters. Field procedures for the different EM methods. Geophysical Logging InstrUTMEnts and methods. InstrUTMEnt circuitry in Induced Polarization Prospecting Methods.

30h (T), 90h (P); C

GPH 386 Geophysical Field Work 5 Credits

This is an independent geophysical field work lasting 3-4weeks during the fourth year inter semester break. Students are expected to be exposed to geophysical data acquisition (using different geophysical equipment), data presentation and interpretation, with respect to each method. The field work will also include geological mapping and map interpretation. A report on this exercise shall be written and submitted at the beginning of the second semester of the third year.

15h (T), 180h (P); C

GPH 388 Industrial Experience (Report) 4 Credits

Having undergone industrial training, well supervised by both industry- based supervisors and Unilorin staff, individual student is expected to write a comprehensive activity report encompassing all the knowledge acquired in the course of the training.

15h (T); 135h (P); C

GPH 398 Industrial Experience 5 Credits

Students are expected to undergo at least six (6) months industrial training in industries relevant to any of the branches of geophysics, with a view to develop more practical skills in the discipline. Students are supervised during the training period and shall be expected to keep log books and other records designed for the purpose of monitoring students‟ performance. Students‟ work will be assessed and graded by both the industry-based supervisor and UNILORIN Staff during the period of the industrial training and experience

15h (T), 180h (P); C

GPH 347 Seismic Methods 2 Credits

Basic theory of the seismic methods. Elasticity. Huygen‟s principle and ray path. Snell‟s law. Propagation of seismic waves in a homogeneous medium. Factors affecting seismic velocities. Types of seismic waves. Seismic refraction fundamentals. Horizontal and Multilayer refraction. Single dipping interface refraction profile. Fermat‟s principle (Least time). Statics. The Single refractor case. Field techniques. Processing and interpretation of seismic refraction data. Applications of the Seismic Refraction Method. Elementary concepts of the reflection seismology. Analytical treatment of elementary seismic reflection problems. Time-Depth charts. Velocity determination from reflection data. Reflections from a dipping interface. Determination of velocity and depth to interface. Characteristics of seismic events NMO, DMO, Multiples, Types of seismic noise. Attenuation of noise. Field methods and equipment for land survey. Marine equipment and methods. Processing and interpretation of seismic reflection data.

15h (T), 45h (P); C

GPH 359 Electromagnetic Methods and Ground Penetrating Radar 3 Credits

Classification of electromagnetic (EM) methods. Electromagnetic theory. Description of EM fields – Biot-Savart law, Straight line wire, rectangular loop, circular loop, vertical wire. Combinations of EM fields-Phase difference, Elliptic polarization, Mutual inductance. EM measurements-Polarization ellipse, Intensity measurement, Dip angle measurement, Measurement of phase component. Airborne EM survey. EM field procedures, data processing and Interpretation. Applications of electromagnetic methods. Theoretical Principles. Attributes of GPR. InstrUTMEntation, field procedure and data presentation. Field operational problems. Processing and interpretation of GPR data. Data processing and data interpretation pitfalls. Applications and case histories in sedimentary sequence, hydrogeology and groundwater contamination, engineering and archaeological investigations. Principle, Theories and Concept of Ground Penetrating Radar. InstrUTMEntation, Field procedure for data measurement and interpretation of GPR data.

30h (T), 45h (P); C

GPH 409 Radiometric Method 1 Credit

Constituents of the nucleus. Principles of radioactivity. Nuclear disintegrations. Radioactive decay processes. Radioactivity units. Radiometric exploration methods. Radioactivity of the earth‟s crust. Physical basis of gamma-ray method. Airborne, Car-borne, and Ground gamma-ray surveys. Radiometric assaying. Use of radiometric methods in exploitation of radioactive and non-radioactive ores. Gamma-ray measuring instrUTMEnts. Calibration of instrUTMEnts. Field operations and interpretation. Application of radio wave methods to rock investigations.

15h (T); C

GPH 411 Seminar 1 Credit

Use of library and electronic media (such as internet) for literature search, survey and, scientific writing, presentation of seminars on selected geophysical topics.

45h (P); C

GPH 412 Borehole Geophysics 3 Credits

General concepts of borehole geophysics. Fluid invasion. Electrical methods (Resistivity logging, Self-potential (SP) logging, Dipmeter, Induction logging, Induced polarization logging), Radioactivity methods (Gamma-ray logging, Density log, Neutron logging), Elastic-wave propagation methods (Sonic log), Magnetic methods, Gravity logging, Caliper logging. Field examples. Interpretation of logs, application of geophysical logs in oil and ground water exploration 45h (T); C

GPH 423 Geophysical Time Series Analysis 2 Credits

Time series fundamentals. Purpose of signal processing. Periodic signals. Time domain description, frequency domain description. Fourier Integrals and Transforms. Theorems of Fourier Transform. Convolution, filtering and deconvolution. Correlation functions. Cross-Correlation. Auto-Correlation. Impulse Response. Laplace Transform. System Equation. Sampling the basis of good recording and processing. One dimensional sampling in time spatial sampling. Z-Transforms.

45h (T); C

GPH 424 Special Topics And Case Histories 3 Credits

Topics are selected to illustrate recent advances and developments in Applied Geophysics in any of the following areas Modelling, Time Series Analysis and Filters. Integrated geophysical methods in oil and ore prospecting. Choice of methods in a geophysical survey. Composite surveys in regional structural mapping, oil prospecting and searching for ores. Examples of combined geophysical programmes and case histories.

30h (T), 45 (P); C

GPH 435 Engineering Geophysics 2 Credits

Review of near-surface geophysical methods. Applications of geophysics in civil engineering site investigations–foundation problems in buildings, hydraulic structures, highways/runways/railways, underground/surface storage facilities. Location of construction materials. Investigation of integrity of existing engineering structures (e.g. earth embankment), Geophysical investigations for spread footing and pile foundations. Scope and limitations of engineering geophysics in site investigations.

15h (T), 45 (P); C

GPH 447 Remote Sensing and Geographic Information System 3 Credits

Principles and methods of remote sensing. Interpretations of aerial photographs. Satellite imagery and their interpretation LANDSAT, SPOT, Radar.

30h (T), 45h (P); C

GPH 448 Seismic Exploration 3 Credits

This course covers a range of topics relevant to seismic exploration. Review of the principles and theories of Waves propagation, data acquisition, Survey planning, Geophones arrangements and field planning- instrUTMEntation, Seismic data processing, Data interpretation. Application of Geosphysical softwares to the interpretation of seismic data and well log analysis. Basin Evaluation.

45h (T); C

GPH 436 Groundwater and Environmental Geophysics 3 Credits

Groundwater occurrence and movement. Aquifers-types and characteristics. Geophysical methods applied in groundwater exploration. Aquifer delineation in the Basement complex and sedimentary terrains. Mapping of geological structures favourable to groundwater accumulation. Estimation of aquifer characteristics from surface and subsurface (borehole) geophysical data. Borehole location strategy. Integrating groundwater geophysical methods field procedures, data presentation and interpretation. Case histories. Geophysical methods applied in environmental study. Determination of soil corrosivity, overburden protection capacity, hydraulic conductivity, coefficient of anisotropy and their uses in soil characterization and aquifer protection; Mapping of leachate and chemical pollution plUTMEs, mapping of saline water zones and delineation of fresh/saline water interface. Monitoring of remediation processes and evaluation of hazardous wastes.

45h (T); C

GPH 459 Field Safety and First Aid 1 Credit Meaning and scope of First Aid. Concept and significance of Safety Education. Types of accidents and implications, First aid treatments of physical injuries, unconsciousness and respiratory arrest. Artificial respiration and cardiopulmonary resuscitation, Emergency care for victims of foreign bodies in the ear, eyes, and nose, Practical demonstration of Safety measures and First Aid practices.

15h (T); C

GPH 450 Geothermal Energy 1 Credit

Heat flow and heat transfer in the earth. Thermal field of the earth. Probable variation of temperature with depth. Maps of heat flow. The thermal fields near the earth‟s surface. InstrUTMEntation. Field Procedure. Data processing and interpretation. Search for and evaluation of geothermal energy. Contact-free temperature measurements. Application of heat flow measurement.

15h (T); C

GPH 471 Applied Geophysics for Geologists And Engineers I 3 Credits

Classification of geophysical methods. Introduction to gravity and magnetic methods. Gravity and magnetic data acquisition, data reduction and interpretation. Electrical methods of geophysical prospecting. Electrical properties of rocks. Concepts of electrical potential, current density and conductivity of rocks. Potentials distribution in a homogenous earth and apparent resistivity. Electrical resistivity data acquisition, processing and interpretation.

45h (T); C (Designed for students of Geology and Engineering).

GPH472 Applied Geophysics For Geologists And Engineers II 3 Credits

Induced Polarization method. Electromagnetic method. Classification of Electromagnetic methods. Exploration Seismology Fundamental of seismic Reflection and Refraction geophysical methods. Basic Theories. Field Procedures, Data Acquisition, Processing and Interpretation. Applications of above methods in mineral, petroleum and groundwater exploration, environmental and engineering studies. Case histories, including local examples.

45h (T); C (Designed for students of Geology and Engineering).

GPH 499 Project 5 Credits

Each student under the guidance of an approved supervisor is required to conduct research in an area approved by the department, culminating in the submission of a project.

15h (T), 180h (P); C

##### SUMMARY

100 Level

Required Courses: CHM 101 (3), 115 (2), CSC 111 (2), 112 (2), GNS 111 (2), 112 (2), MAT 111 (3), 112 (3), 113 (3), PHY 115 (2), 125 (3), 142 (2), 152 (3), 191 (1), 192 (1), GEM 104 (2), 106 (2) Total = 38 credits

200 Level

Compulsory Courses: GPH 212 (2), 222 (2), 234 (2) = 6 Credits

Required Courses: GEM 209 (2), 205 (2), 208 (2), 213 (1), 217 (1), 222 (2), 224 (2), GNS 211 (2), 212 (2), MAT 211 (3), 212 (3), PHY 225 (2), 295 (1), 243 (2), 252 (2), 298 (1), STA 203 (2), SVG 201 (2) = 34 Credits

Direct Entry Students: GNS 111 (2), 112 (2), GEM 106 (2), 104 (2) = 8 Credits

Total = 40 Credits

DE = 48 Credits

300 Level

Compulsory Courses: GPH 311(2), 323 (2), 335 (2), 347 (2), 359 (3), 398 (5), 388 (4), 384 (4), 386 (5) = 29 Credits

Required Courses: GNS 311 (2), GSE 301 (3), CSC 211 (3) GEM 311 (2), 317 (3)

= 13 Credits

Total = 42 Credits

400 Level

Compulsory Courses: GPH 411 (1), 423 (2), 435 (2), 447 (3), 459 (1) 409 (1), 499 (5),

412 (3), 424 (3), 436 (3), 448 (3), 450 (1) = 28 Credits

Required Courses: GEM 304 (2), 427(3), 425 (3), 328 (3) = 11 Credits

Elective Courses: ECN 405(2), PHY 474 (2)

Total = 39 Credits

Graduation Requirements

UTME = 159 Credits

DE = 129 Credits

## DEPARTMENT OF INDUSTRIAL CHEMISTRY

##### Course Description

B.Sc. Industrial Chemistry

ICH 101 Basic Principles of Chemical Processes 1 Credit

Process variables, data presentation and analysis. Material balance and energy balances. Application in chemical metallurgical and petroleum processes.

15h (T); C

ICH 201 Industrial Drawing 2 Credits

Lettering, dimensioning, loci, camp profile true length. Auxiliary views, orthogonal projection.

30h (T), 45h (P); C

ICH 202 Physical Chemistry I 3 Credits

Energetics: Bond dissociation energies. Energy cycles, including the Born harber cycle. Heats of formation and their determinations. Law of thermodynamics. Kinetic theory of gases. Phase equilibria, chemical kinetics and reaction mechanisms. Electrochemistry and electrochemical cells.

30h (T), 45h (P); C

ICH 203 Introduction to Analytical Chemistry 3 Credits

Introduction to theory of sampling and errors, Preparation of Standard solutions, chemical methods of analysis including volUTMEtric, gravimetric, Complexiometric, Redox and Kinetic methods. Solvent extraction and Chromatographic techniques. Chemical quality Assurance.

30h(T), 45h (P); C

ICH 204 Chemical Industry and Society 1 Credit

Survey of Nigeria chemical industry and their raw materials requirements. Renewable and non-renewable resources, energy source and depletion. Environmental effects of chemicals. Potentials and application of locally available raw materials as industrial feed stocks.

15h (T); C

ICH 205 Organic Chemistry I 3 Credits

Molecular structure and Isomerism: Empirical and molecular formulae. Molecular constitution and constitutional isomerism. Molecular configuration and configurationally isomerism. Molecular conformation and conformational isomerism. Influence of molecular structure on physical properties.

Mechanism and Reactivity: Modes of bond formation and fission. Types of reagent. Types of reactions. Electronic and steric effects. Kinetic and thermodynamic control of reaction. Elementary concepts of acidity and basicity.

30h (T), 45h (P); C

ICH 206 Environmental Pollution 1 2 Credits

The structure of the atmosphere. Chemical interactions between the atmosphere and the hydrosphere. Emissions: emissions sources, control and analysis. Survey of air, water and land pollution. Global warming and climate change phenomena.

30h (T); C ICH 208 Safety Methods in the Laboratory 2 Credits

Personal protection and laboratory protocol. Safety equipment and facilities.Storage and inventory management. Guide to Chemical hazards and Toxicity: Characterizations, labeling and material safety data sheets (MSDS). Risk assessment and analysis: solvents, acids, bases and other toxic materials. First aid.

30h (T); C

ICH 212 Inorganic Chemistry I 3 Credits

Solid state structures of simple AB and AB2 type compounds of the s, p and d block elements. Periodicity of the elements illustrated by a study of their simple compounds, the hydride acids and halides. The solution properties of the compounds including solvation, solute/solvent interaction and redox reactions.

30h (T), 45h (P); C

ICH 311 Unit Operations 2 Credits

Introductory fluid mechanics and fluid handling processes. Physicochemical industrial processes: grinding, size-reduction, filtration, distillation and solvent extraction processes.

30h (T), 45h (P); C, PR: CHM 212

ICH 3I5 Inorganic Chemistry II 2 Credits

Chemistry of s- and p-block elements: Relations between electronic structure, size and reactions of compounds. Chemistry of d- and f- block elements: Detection, nomenclature and isomerism of complex compounds. Crystals field theory, d-d spectra detection, nomenclature and isomerism of complex compounds. Crystal field theory, d-spectra, molecular orbital and valence bond theories. Comparative study of the chemistry of the transition elements and their compounds Lanthanides and actinides.

30h (T), 45h (P); C, PR: ICH 212

ICH 317 Industrial Chemistry Laboratory I 2 Credits

An integrated laboratory course covering basic laboratory techniques: distillation, reflux, chromatography, solvent extraction, food analysis.

90h (P); C

ICH 321 Applied Chemical Thermodynamics and Kinetics 3 Credits

Conductance of electrolyte solutions. Heats of solution and viscosity measurement. Principles of thermodynamics. Phase equilibra. Chemical kinetics of complex reactions. Theory of reaction rates. Reactions in solution and catalysis.

45h (T); C, PR: ICH 202

ICH 323 Heat Transfer 2 Credits

Introductory heat transfer principles and applications in chemical industries. Forced and natural convections, steady-state conduction, radiation, boiling and condensation. Boilers and heat exchangers.

30h (T); C, PR: ICH 202

ICH 325 Industrial Management 2 Credits

Functions of management. Evolution and development of Management Schools of Thought. Organizational behaviour and Production. Production and Material Management, Management of small scale Industries. Industrial Safety management. Labour legislations and Industrial Relations.

30h (T); C

ICH 326 Industrial Training 6 Credits All candidates enrolled in the B.Sc. Industrial Chemistry Programme are required to proceed on industrial attachment for 6 months (1-Tier SIWES programme)during Rain semester and long vacation. All students enrolled in this course would be required to submits a report and give presentation at the end of their period of attachment. The grading will normally be based on the reports, seminars and assessment of the industry-based supervisor.

270h (P): C

ICH 327 Organic Chemistry II 2 Credits

Chemistry of oxygen containing organic compounds e.g. alcohol, ether and epoxides. Organic acids and derivatives. Organic functional groups present in Industrial products. Formation of carbanions and their reactions. Aromatics, alicyclic and heterocyclic compounds chemistry. Polyfunctional compounds.

30h (T); C, PR: ICH 212

ICH 341 Instrutmental Analytical Methods 2 Credits

Spectrometry. Fluorescence and phosphorescence. Electroanalytical methods. Liquid and Gas chromatography. Thermal methods of analysis. Radiochemical methods. Automationin analytical techniques.

30h (T); C

ICH 347 Experimental Physical Chemistry 1 Credit

Study of rate of chemical reactions, thermochemistry, conductance of electrolyte solutions, phase equilibra of solid-solid and liquid-liquid mixtures, solubility and viscosity measurements.

45h (P); C, CC: ICH 321, PR: ICH 202

ICH 355 Experimental Organic Chemistry 1 Credit

Preparation of simple organic compounds and simple oleochemicals, analysis of petroleum chemicals.

45h (P); C, CC: ICH 327, PR: ICH 205

ICH 401 Separation Methods 2 Credits

Samples preparation, Solvent extraction, Solid-phase Micro extraction, Chromatography techniques including Ion-exchange, High performance liquid, adsorption, Gas, size exclusion and Super critical chromatography. Applications to the analysis of environmental samples.

30h (T); C

ICH 402 Applied Surface and Colloid Chemistry 2 Credits

Interfacial relationships. Criteria for spreading monomolecular films on water. Electrical potentials. Attractive forces, solid-gas interface, liquid-liquid interface and solid-liquid interface. Adsorption isotherms. Colloidal systems. Surface energies, wetting, adhesion and contact angles. Micelle formation, Lyophilic and lyophobic properties, gels, association colloids and detergent.

30h (T); E

ICH 403 Mineral Processing 2 Credits

Physical processing of minerals and their classification. Mineral concentration. Liquid-solid separation and aggregation. Chemical leaching and Bioleaching of mineral ores. Units operations in Chemical processing of minerals. Hydrometallurgical processes. Pyrometallurgical processing and metallurgical thermochemistry. Industrial Utilization of Minerals.

30h (T); C ICH 404 Applied Electrochemistry 2 Credits

Thermodynamics and electrical surface phenomena. Electrolytic conductance. Electrode processes. Electrochemical cells. Thermodynamics and kinetics of electrode processes.The electrical double layer and its application.Hydrodynamic methods. Techniques based on the concept of impedance.

30h (T); C, PR: ICH 321

ICH 405 Applied Spectroscopy 2 Credits

Basic principles and applications of UV, IR, NMR and Mass spectroscopy in the determination of the constitution and elucidation of structures of compounds.

15h (T); 45h (P); C

ICH 415 Industrial Methodology 2 Credits

Measurement and evaluation of work. Time, motion and method of studies. Reliability theory and quality control. Production and inventory control. Resource allocation. Critical Path Analysis (CPA) principles of economics and accounting. Ergonomic design of machine systems.

30h (T); C

ICH 421 Basic Industrial Chemicals 2 Credits

Industrial manufacture of sulphuric, nitric and hydrochloric acids, caustic soda, sodium bicarbonate; ammonia, chlorine products; Products of electrolysis. Mineral ore dressing, calcinations, roasting and smelting. Iron and steel, titanium and titanium dioxide; soda ash; fluorspar. Manufacture of industrial gases including Hydrogen, nitrogen, oxygen, noble gases.

30h (T); E

ICH 422 Water and Waste Water Treatment 2 Credits

Techniques for the characterization of wastewaters. Unit operations and processes in wastewater treatment. Health and environmental impacts of wastewater constituents. Advanced wastewater treatment and risk assessment for water reuse applications.Introduction to water waste minimization and associated methods.

30h (T); E

ICH 423 Food Analysis and Processing 2 Credits

Analysis of food samples for trace elements, vitamins and protein and food safety. Food preservation and packaging, preservation by fermentation, concentration, drying and dehydration and by chemical agents. Investigation of packaging types related to use with various food systems and packaging permeability. Food poisoning and problem of nutrient deficiencies.

30h (T); E

ICH 424 Radiochemistry and Nuclear Chemistry 2 Credits

Revision of proton-neutron nucleus, neutron excess, shell model and nuclear spin. Natural radioactivity, Induced radioactivity-mass and energy balance including recoil. Binding energy. Fission and Fusion. Reactor types classified by fuel, moderator coolant. Introduction to activation analysis. The use of isotopes in reaction mechanism and analysis. Detection systems, solids and liquid scintillation counting. Quenching and channel ration correction.

30h (T); E

ICH 425 Catalysis 2 Credits General principles of catalytic processes. Homogenous and heterogenous catalysis. Kinetics and mechanisms of catalytic processes. Industrial applications of catalysis. Chemistry and structure of commercial catalysts.

30h (T); E, PR: ICH 202

ICH 426 Non-Aqueous Solvents 2 Credits

Active and passive solvent behaviour. Solvation and solvent structure. Solvates and solubilities. Solvolysis, liquid ammonia, anhydrous HF, 100% H2SO4, NO. Bromine trifluorine: physical properties, structure and solubilities. Techniques used in studying species in solutions. Conductivity and cryoscopic data. Examples and classification of organic and inorganic non-protonic liquids. Electrochemical applications.

30h (T); E, PR: CHM 324

ICH 427 Seminar 1 Credit

Literature search. Presentation of seminars on comprehensive literature reviews of selected topics of research interest.

45h (P); C

ICH 428 Cement and Glass Technology 2 Credits

Cement Raw materials, Raw Meal Preparation, Methods of Manufacturing Cement, Constituent Compounds in Cement, Properties of Cement, Cement additives, Testing of Cement, Types of Cement. Definition and classification of glass. Glass products and utility. Raw materials, manufacturing and compositional analysis. Characteristics of special glasses. Safety considerations in glass manufacture

30h (T); E

ICH 429 Carbohydrate Chemistry 2 Credits

Carbohydrates: Monosaccharide‟s, disaccharides, polysaccharides – structures, properties, synthesis and applications. Introduction to glycosides.

30h (T); E

ICH 431 Macromolecular Chemistry 2 Credits

Classification of macromolecules; polymers and copolymers as natural, modified natural or synthetic substances. Polymer formation processes; methods, kinetics and mechanisms. The characterization of macromolecules; molar mass and distribution, molecular size and shapes, stereochemistry. Crystallinity and methods of determination. Structural classification in natural macromolecules. Bulk structure, crystalline, amorphous, glassy and rubbery states. Inter-relation of structures and properties.

30h (T); E

ICH 432 Polymer Technology 2 Credits

Polymer characterization, criteria for polymer solubility, chain conformation, thermodynamics and phase equilibrium. Molecular weight size and distribution: Rheology of polymers: Mechanical properties and viscoelasticity, structure property relationships. Polymer types: thermosetting elastomers, plasticizers, resins and extrusion, spinning, vulcanization and reinforcement. Blow and injection moulding. Casting, testing and quality control: Chemical analysis. Birefringence measurement physical testing.

30h (T); E

ICH 435 Quality Control 2 Credits

Statistical quality control: Control charts, reliability and process capability analysis. Total quality management. National and international quality standards. Quality control practices in food processing, chemical and allied industries.

15h (T), 45h (P); C, PR: ICH 341 ICH 436 Lubricant Technology 2 Credits

Lubrication fundamentals, types of lubricants, mineral base oils, synthetic and biological (natural) base stocks, lubricant additives, lubricant specification and classification, engine oil classification based on end-users, lubricant testing, lubricant and the environments.

30h (T); E

ICH 438 Detergent and Cosmetics Chemistry 2 Credits

Surfactants and emulsifiers: types, preparations, properties and industrial applications. Cosmetics: preparations, properties and applications of cosmetics: face powder, creams, lotions, hair care products and lipsticks. Legal consideration and regulatory procedures governing cosmetics.

30h (T); E

ICH 442 Petroleum Chemistry 2 Credits

Composition, classification and properties of petroleum and petroleum gases. Processing of petroleum and hydrocarbons. Preparation and chemical transformation of primary petrochemicals.

30h (T); E, PR: ICH 205

ICH 457 Fertilizers and Agrochemicals 2 Credits

Chemistry of organic and synthetic fertilizers, insecticides, herbicides, fungicides and growth regulators. Recent trends in the synthesis and structural elucidation of commercial fertilizers and pesticides. Effects of abuse of fertilizers and pesticides on the environment.

30h (T); E

ICH 458 Medicinal Plant Products 2 Credits

Chemistry, synthesis, structural-activity relationships, synthetic analogues and medicinal use of alkaloids, glycoside lipids and volatile oils.

30h (T); E

ICH 461 Environmental Pollution II 2 Credits

Spreading and modelling of air pollutants in the atmosphere. Purification of waste gases. Oxides of sulphur and nitrogen, and particulates and other gaseous pollutants. Methods of purification of waste gases. Effectiveness of purification installations.

30h (T); E, PR: ICH 356

ICH 463 Industrial Chemistry Laboratory II 2 Credits

An integrated laboratory course covering detergents and cosmetics, fertilizers and pesticides, environmental pollution, surface chemistry and electrochemistry, textile, sugar and polymer technology.

90h (P); C, PR: ICH 354

ICH 464 Sugar Technology 2 Credits

Definition, sources and classification of sugars. Structures, properties and tests for sugar. Production of sugar: Crushing, Shredding, Extraction, Liming, Clarification. Crystallization and drying. Baggaging and bye products of sugars. Uses of sugars and bye-products

30h (T); E

ICH 465 Textile and Colour Chemistry 2 Credits Classification of dyes and textile fibres. Natural Regenerated and Synthetic fibers. Physical and Structural Properties of fibres. Preparatory processes: Singeing, desizing, scouring, bleaching, mercerization and optical brightening. Colour and constitution. Theory of dyeing. Dyeing preparation, structure and application of dyes. After treatments and quality control: Colour fastness.

30h (T); E

ICH 466 Organometallic Chemistry 2 Credits

Compounds having metal-carbon bonds: sigma – and pi bonded compounds. Their structure, properties and uses. Energy considerations applied to extraction of elements and thermal stability of compounds in aqueous and non-aqueous solvents. Inorganic reactions in solutions: Types of reaction, effects of solvent. Oxidation-reduction and substitution reactions. Kinetics of fast reactions, methods of study of SN1, SN and ion-pair mechanism.

30h (T); E

ICH 499 Project 5 Credits

A selection of topics will be organized and made available to students at the beginning of 7th semester. The project topics may involve research in the laboratory, library search or an industrially based topic discovered during the period of attachment. Each student will be supervised by one member of the academic staff. The results of the project are to be presented in a typed bound dissertation which will be orally examined at the end of the 8th semester.

225h (P); C

##### SUMMARY

100 Level

Compulsory Courses: ICH 101 (1) = 1 Credit

Required Courses: CHM 101 (3), CHM 112 (2), CHM 132 (2), CHM 115 (2), CHM 116 (1), MAT 111 (3), MAT 112 (3), PHY 115 (2), PHY 142 (2), PHY 191 (1), PHY 192 (1), ZLY 103 (2), PLB 108 (3), CSC 111 (2), GNS 111 (2), GNS 112 (2) = 33 Credits

Total = 34 Credits

200 Level

Compulsory Courses: ICH 201 (2), ICH 203 (3), ICH 204 (1), ICH 206 (2), ICH 208 (1), ICH 205(3), ICH 202(3), ICH 212(3) = 18 Credits

Required Courses: MAT 201 (3), MAT 206 (2), PHY 214 (2), PHY 243 (2), PHY 295 (1), PHY 298 (1), CSC 211 (2), STA 203 (2), GNS 211 (2), GNS 212 (2) =19 Credits

Total = 37 Credits

Direct Entry Students: GNS 111(2) and GNS 112(2) = 4 Credits

Total = 41 Credits

300 Level

Compulsory Courses: ICH 311 (2), ICH 321 (3), ICH 315 (2), ICH 323 (2), ICH 317 (2), ICH 325 (2), ICH 341 (2), ICH 326 (6), ICH 355(1), ICH 347(1), ICH 327(2) = 25 Credits

Required Courses: GNS 311 (2), GSE 301(3) = 5 Credits

Total = 30 Credits

400 Level

Compulsory Courses: ICH 402 (2), ICH 404 (2), ICH 499 (5), ICH 415 (2), ICH 427 (1), ICH 435 (2), ICH 401 (2), ICH 463 (2), ICH 405 (2) =20 Credits

Elective Courses: A minimum of 6 credits from the following: ICH 421 (2), ICH 422 (2), ICH 423 (2), ICH 461 (2), ICH 424 (2), ICH 425 (2), ICH 457 (2), ICH 428 (2), ICH 429 (2), ICH 431 (2), ICH 432 (2), ICH 465 (2), ICH 433 (2), ICH 436 (2), ICH 438 (2), ICH 442 (2), ICH 403 (2) = 6 Credits

Total = 26 Credits

Graduation Requirements:

UMTE = 128 Credits

DE = 98 Credits

## DEPARTMENT OF MATHEMATICS

##### Course Description

B. Sc. Mathematics

MAT 111 Elementary Set Theory and Numbers 3 Credits

Elementary set theory, subsets, union, intersection, complements and Venn diagrams. Real numbers, integers, rational and irrational numbers. Mathematical induction. Real sequences and series and arithmetic and geometric progressions. Theory of quadratic equations. Binomial theorem Complex numbers, algebra of complex numbers, the Argand diagrams, De Moivre‟s theorems and nth roots of unity. Circular measure: trigonometric functions of angles of any magnitude, addition and factor formulae.

45h (T); C

MAT 112 Elementary Differential and Integral Calculus 3 Credits

Functions of a real variable. Graphs, limits and idea of continuity. The derivative, as limit of rate of change. Techniques of differentiation, maxima and minima. Extrema curve sketching. Integration: definite integrals, reduction formulae, application to areas and volUTMEs (including approximate integration), and trapezium and Simpson‟s rules.

45h (T); C

MAT 113 Elementary Vectors, Geometry and Mechanics 3 Credits

Geometric representation of vectors in 1 – 3 dimensions, components and direction cosines. Addition and scalar multiplication of vectors and linear independence. Scalar and vector products of two vectors. Differentiation and integration of vectors with respect to a scalar variable. Two-dimensional coordinate geometry. Straight lines, circles, parabola, ellipse, hyperbola, tangents and normal. Kinematics of a particle. Components of velocity and acceleration of a particle moving in a plane. Force, momentum, laws of motion under gravity, projectiles and resisted vertical motion. Elastic string and simple pendulum. Impulse, impact of two smooth spheres and a sphere on a smooth surface.

45h (T); C

MAT 114 Elementary Algebra and Trigonometry 3 Credits

Mapping, bijection, composition, inverse mapping, binary operations, associativity, identity elements and inverse element and distributivity. Relations: fundamental theorem of equivalence relations. Trigonometric ratios, sums and products formulae, multiple and sub-multiple angles, graphs of trigonometric functions and inverse circular functions. Solutions of triangles and trigonometric equations. Heights and distance in 2 and 3 dimensions geometry. Equations of line and planes, and other applications. Angle between two lines. Methods of integration. Double integrals. Differential equations. Taylor‟s and Maclaurin‟s theorems.

45h (T); C

MAT 115 Mathematics for Agriculture and Biosciences I 2 Credits

Differential Calculus: ordinary and partial derivatives. Maclaurin and Taylor‟s series. Integral calculus and standard integrals. Methods of integration and double integrals. Differential equations with constant coefficients.

30h (T); R (Not for Mathematics Major)

MAT 116 Mathematics for Agriculture and Biosciences II 2 Credits Sequences and series: arithmetic and geometric. Binomial theorem. Matrices, determinants and solution of systems of linear equations. Vectors: addition and product. Coordinate geometry.

30h (T); R (Not for Mathematics Major)

MAT 201 Mathematical Methods I 3 Credits

Real-valued functions of a real variable. Review of differentiation and integration and their applications. Mean value theorem and Taylor series. Real-valued functions of two and three variables. Partial derivatives: chain rule and extremum. Lagrangian multipliers, increments, differentials and linear approximations. Evaluation of line integrals.

45h(T); C

MAT 203 Sets, Logic and Algebra 3 Credits

Introduction to the language and concepts of modern mathematics. Basic set theory, mappings, relations, equivalence order relations and Cartesian products. Binary logic and methods of proof. Binary operations. Algebraic structures: semi-groups, groups, rings, integral domains and fields. Number systems: properties of integers, rationals, real and complex numbers.

45h (T); C

MAT 206 Linear Algebra II 2 Credits

System of linear equations: change of basis, equivalence and similarity. Eigenvalues and eigenvectors. Minimum and characteristic polynomials of a linear transformation. Cauley-Hamilton theorem. Bilinear and quadratic forms and orthogonal diagonalisation. Canonical forms.

30 h (T), C, PR: MAT 203, MAT 213.

MAT 208 Real Analysis I 2 Credits

Bounds of real numbers, convergence of sequences of numbers, monotone sequences and the theorem of nested intervals. Cauchy sequence, tests for convergence of series. Absolute and conditional convergence of series and re-arrangements. Completeness of reals and incompleteness of rationals. Continuity and differentiability of functions of R R. Rolle‟s and Mean value theorems for differentiable functions. Taylor series.

30h (T); C

MAT 210 Introduction to Complex Analysis 2 Credits

Complex number and topology of complex plane. Limits and continuity of functions of complex variable. Properties and examples of analytic functions. Branch-points. Cauchy-Riemann equations. Harmonic function.

30h (T); E

MAT 211 Elementary Differential Equations I 3 Credits

First order ordinary differential equations ODEs: existence and uniqueness of solution. Second order ordinary differential equations with constant coefficients. General theory of nth order linear equations. Laplace transform method. Simple treatment of partial differential equations in two independent variables. Applications of ODEs and PDEs to physical, life and social sciences.

45h (T); C

MAT 212 Introduction to Numerical Analysis 3 Credits Solution of algebraic and transcendental equations. Curve fitting, error analysis, interpolation and approximation. Zeros of non-linear equations in one variable. Systems of linear equations. Numerical differentiation and integration. Initial value problems in ordinary differential equations.

45h (T); C

MAT 213 Linear Algebra I 2 Credits

Vector space over the real field, sub-spaces, linear independence, basis and dimension, Linear transformations and their representation by matrices. Rings null space and rank: singular and non-singular transformations and matrices. Algebra of matrices.

30h (T); C

MAT 214 Mathematical Package I 1 Credit

Algebraic computations using mathematical softwares such as MATLAB, MATHCAD and MATHEMATICA.

45h (P); C

MAT 306 Abstract Algebra I 3 Credits

Normal subgroups and quotient groups. Monomorphism, isomorphism theorems and Cayley‟s theorems. Direct products. Groups of small order, groups acting on sets and Sylow theorems. Ideal and quotient rings. P.I.D‟s, and U.F.D‟s Euclidean rings. Irreducibility, field extensions, degree of an extension and minimum polynomial. Algebraic and transcendental extensions. Straight-edged and compass constructions.

45h (T), C; PR: MAT 203

MAT 307 Real Analysis II 3 Credits

Riemann integral of functions of RnR. Continuous mono-positive functions. Functions of bounded variation. Reimann-Stelities integral . Pointwise and uniform convergence of sequences and series of functions RnR. Effects on limits (sum) when the functions are continuous, differentiable or Reimannintegrable. Power series.

45h (T), C, PR: MAT 208

MAT 308 Introduction to Mathematical Modelling 3 Credits

Methodology of model building: identification, formulation and solution of problems, Cause-effect diagrams. Equation types: algebraic, ordinary differential, partial differential, difference, integral and functional equations. Applications of mathematical models to physical, biological, social and behavioural sciences.

45h (T), C, PR: MAT 201; MAT 311

MAT 309 Discrete Mathematics 3 Credits

Groups and subgroups: qroup axioms, permutation group and cosets. Graphs: directed and undirected graphs, cylces, connectivity, applications (flow charts) and state transition graphs. Lattices and Boolean algebra, Finite fields: mnipolynomials, irreducible polynomials and polynomial roots. Applications (error-correcting codes, sequences generators).

45h (T); C, PR: MAT 203

MAT 311 Elementary Differential Equations II 3 Credits

Series solution of second order linear equations. Bessel, Legendre and hyper-geometric equations and functions. Gamma and Beta functions, Sturm-Liouville problems. Orthogonal polynomials and functions, Fourier, Fourier-Bessel and Fourier- Legendre series. Expansion in series of orthogonal functions. Fourier transformation. Solution of Laplace , wave and heat equations by Fourier method.

45h (T); C; PR: MAT 211

MAT 313 Geometry 3 Credits

Coordinates in R3. Polar coordinates, distance between points, surfaces and curves in space. The plane and straight line. Basic projective geometry, affine and Euclidean geometries.

45h (T); E

MAT 316 Introduction to Operations Research 3 Credits

Phases of operations research study. Classification of operations research models: linear, dynamic and integer programming. Decision theory. Inventory models. Critical Path Analysis and project controls.

45h (T); E

MAT 317 Differential Geometry 3 Credits

Vector functions of a real variable. Boundedness, limits, continuity, differentiability and functions of class Cm. Taylor‟s formulae. Analytical functions. Curves., regular, differentiable and smooth. Curvature and torsion, tangent line and normal plane. Vector. Functions of vector variable. Linear continuity and limits. Directional functions of class Cm. Taylor ‟s theorem and inverse function theorem. Concept of a surface; parametric representation, tangent plane and normal lines. Topological properties of simple surfaces.

45h (T); E, PR : MAT 313

MAT 321 Optimization Theory 3 Credits

Linear programming models. The simplex method, formulation and theory. Duality integer programming and transportation problem. Two-person zero-sum games. Non-linear programming and quadratic programming. Kuhn-Tuckers methods Optimality criteria. Single variable optimization. Multivariate techniques. Gradient methods.

45h (T); E, PR: MAT 201, MAT 211

MAT 322 Metric Space Topology 3 Credits

Set metrics and examples. Open spheres (or balls), open sets and neighbourhoods. Closed sets, interior, exterior, frontier, limit points and closure of a set. Dense subsets and separable space. Convergence in metric space.

45h (T); C

MAT 323 Analytical Dynamics I 3 Credits

Degree of freedom. Holonomic and non-holonomic constraints. Generalized coordinates. Lagrange‟s equation for holonomic systems: force dependent on co-ordinates only and force obtainable from a potential. Impulsive force. Lagrange‟s equations for non-holonomic systems. Lagrangian multipliers and variational principles. Calculus of variation. Hamilton‟s principles. Canonical transformation. Normal modes of vibrations; Hamilton-Jacobi equations.

45h (T); E

MAT 324 Vector and Tensor Analysis 3 Credits

Vector algebra. Vector, dot and cross products. Equation of curves and surfaces. Vector differentiation and applications. Gradient, divergence and curl. Vector integration: line surface and volUTME integrals. Green‟s, Stoke‟s and divergence theorems. Tensor products and vector spaces. Tensor algebra. Symmetry and Cartesian tensors.

45h (T); C

MAT 325 Mathematical Methods II 3 Credits

Ordinary differential equations: solution of first order systems, linear dependence, Wronskian, reduction of order, variation of parameters and Cauchy-Euler equations. Sturm-Liouville problem. Orthogonal polynomials and functions. Partial differential equations: general and particular solutions and linear equations with constant coefficients. First and second order equations: eigen-function expansions and methods of variation of parameters.

45h (T); C, PR : MAT 211

MAT 326 Complex Analysis II 3 Credits

Laurent expansions: isolated singularities and residue. Residue theorem, calculus of residue and application to evaluation of integrals and to summation of series. Maximum modulus principle. ArgUTMEnt principle. Rouche‟s theorem. The fundamental theorem of algebra. Principle of analytic continuation. Multiple valued functions and Riemann surfaces.

45h (T); C, MAT 307

MAT 327 Abstract Algebra II 3 Credits

Group: definition, examples including permutation groups, subgroups, cosets, Lagrange theorem and applications. Cyclic groups: Rings, definition, examples including z, zn rings of polynomials and matrices. Integral domains and fields. Polynomial rings, and factorization. Euclidean algorithm for polymomials, H.C.F and L.C.M. of polynomials.

45h (T); C, PR : MAT 203

MAT 328 Dynamics of a Rigid Body 3 Credits

General motion of a rigid body as a translation plus a rotation. Moment and products of inertia in three dimensions. Parallel and perpendicular axes theorems. Principal axes. Angular momentum and kinetic energy of a rigid body. Impulsive motion with examples involving one and two dimensional motion of simple systems. Moving frames of reference. Coriolis force. Motion near the earth‟s surface. The Foucault‟s pendulum. Euler‟s dynamical equations for motion of a rigid body with one point fixed. The symmetrical top procession.

45h (T); E

MAT 329 Complex Analysis I 3 Credits

Functions of complex variables. Limits and continuity of functions of a complex variable. Deriving the Cauchy-Riemann equations. Analytic functions. Bilinear transformations and conformal mapping. Contour integral. Cauchy‟s theorems and their main consequences. Convergence and convergence variable. Power series. Taylor series 45h (T); C.

MAT 332 NUTMErical Analysis 3 Credits

Polynomial and splines approximations; orthogonal polynomials and Chebyshev approximations, least squares, cubic spline and Hermite approximations. NUTMErical integration. Boundary value problems. Introduction to nUTMErical solution of partial differential equations. NUTMErical computations using subroutines.

30h (T), 45h (P); C PR : MAT 212 MAT 334 Total Differential Equations 2 Credits

Equations of the form Pdx + Qdy + Rdz = 0. Condition for integrability and exactness. Integrable equation. Pairs of total equations in three variables and use of multipliers. General and special integrals. Geometrical interpretation and applications.

30h (T); E; PR: MAT 211

MAT 335 Mathematical Package II 1 Credit

Application of mathematical packages, such as MATLAB, MATHCAD, MATHEMATICA. etc to approximation methods in series, differential and integral equations.

45h (P); C

MAT 401 Ordinary Differential Equations 3 Credits

Existence and uniqueness theorems, dependence of solutions on initial data and parameters and properties of solutions. General theory for linear differential equations with general theory for linear differential equations with constant coefficients. Two-point Stum-Liouville boundary value problem. Self-adjointness. Linear and non-linear equations. Theorem and solution of Lyapunov equation. Controllability and observability.

45h (T); C, PR: MAT 311

MAT 402 Partial Differential Equations 3 Credits

Theory and solution of first order equations and second order linear equation, classification. Characteristics and canonical forms. Cauchy problem. Elliptic equations: Laplace‟s and Poiscon‟s formulae and properties of harmonic functions. Hyperbolic equations: retarded potential transmission line equation. Riemann method. Parabolic equations: singularity function, boundary and initial-value problems.

45h (T); C, PR: MAT 311, 325.

MAT 403 Functional Analysis 3 Credits

Hilbert spaces. Bounded linear functional. Operators on Banach spaces. Topological vector spaces. Banach algebra.

45h (T); C, PR: MAT 322

MAT 405 General Topology 3 Credits

Topological spaces: definition, open and closed sets, neighbourhoods and coarser and finer topologies. Basis and sub-basis. Separation axioms, compactness, local compactness, connectedness. Construction of new topological spaces from given ones. Sub-spaces and quotient spaces. Continuous functions, homeomorphisms and topological invariants. Spaces of continuous functions: pointwise and uniform convergence.

45h (T); C, PR: MAT 322.

MAT 406 Lebesgue Measure and Integrals 3 Credits

Lebesgue measure: measurable and non-measurable sets. Measurable functions. Lebesgueintegra: integration of non-negative functions, the general integral and convergence theorems.

45h (T); C MAT 407 Mathematical Methods III 3 Credits

Calculus of variation, Lagrange‟s functional and associated density. Necessary condition for a weak relative extremum. Hamilton ‟s principle. Lagrange‟s equations and geodesic problems. The DuBois-Raymond equation and corner conditions. Variable end-points and related theorems. Sufficient conditions for a minimum. Isoparametric problems. Variational integral transforms. Laplace, Fourier and Banedtransformed. Complex variable methods and convolution theorems. Application to solution of differential equations.

45h (T); C, PR: MAT 325

MAT 408 Quantum Mechanics 3 Credits

Particle wave density. Quantum postulates. Schrodinger equation of motion. Potential steps and wells in 1-dimension. Heisenberg formulation and classical limit of quantum mechanics. Computer Brackets. Linear harmonic oscillator. Angular momentum. 3-dimensional square well potential. The hydrogen atom. Collision in 3-dimeasional. Approximation methods for stationary problems. Systems of many particles (Pauli principle).

45h (T); E

MAT 409 General Relativity 3 Credits

Particles in a gravitational field; curvilinear coordinates and intervals. Covariant differentiation. Christofell symbol and metric tensor. The constant gravitation field rotation. The curvilinear tensor. The action of function for the gravitational field. The energy momentum and tensor. Newton‟s law. Motion in a centrally symmetric gravitational field. The energy momentum. Pseudo-tensor gravitational waves. Gravitational fields at large distance from bodies. Isotropic space. Space-time metric in the closed and in the open isotropic models.

45h (T); E

MAT 410 Electromagnetism 3 Credits

Maxwell‟s field equations. Electromagnetic waves and electromagnetic theory of light. Plane electromagnetic waves in non-conducting media. Reflection and refraction at plane boundary. Wave guide and resonant cavities. Simple radiating systems. The Lorentz-Einstein transformation. Energy and momentum. Electromagnetic 4-vectors. Transformation of E.H. fields. The Lorentz force.

45h (T); E, PR: MAT 324

MAT 411 Analytical Dynamics II 3 Credits

Lagrange‟s equations for non-holonomic systems, Lagrangian multipliers, variational principles, integral definition of gradient, divergence and curl line, surface and volUTME integral; Green‟s, Guass‟ and Stoke‟s theorems. Curvilinear coordinates, Simple notion of tensors. The Use of tensor notation.

45h (T), E, PR: MAT 323

MAT 412 Field Theory 3 Credits

Gradient, divergence and curl. Further treatment and application of the differential definitions. The integral definition of gradient divergence and curl Line, surface and volUTME integral; Green‟s, Gauss and Stoke‟s theorems. Curvilinear coordinates. Simple notion of tensors. The use of tensor notation.

45h (T); E, PR: MAT 324 MAT 413 Fluid Dynamics I 3 Credits

Real and ideal fluids. Differentiation following the motion of fluid particles. Equations of motion and continuity for incompressible inviscid fluids. Velocity potential and Stoke‟s steam functions. Bernoullis equation with application to flow along curved paths. Kinetic energy. Sources, sinks, double in 2-and 3-dimensions, limiting stream-lines. Images and rigid planes. Kelvin‟s theorem, speed of sound, Mach number, flow past circular, cylinder with circulation and aerofolis. Jaukwski hypothesis.

45h, (T); E, PR: MAT 323

MAT 415 System Theory 3 Credits

Lyapunov theorems. Solution of Lyapunov stability equation ATP + PA = Q. Controllability and observability. Theorem on existence of solution of linear systems of differential operations with constant coefficients.

45h (T); E

MAT 416 Measure Theory 3 Credits

Abstract integration on LP – spaces.

45h (T); E

MAT 417 Advanced Algebra 3 Credits

Modules. Free module-bases, endomorphisms and matrices. Invariant factors. Decomposition theorems. Lattice theory, Noetherian and Artinian modules and rings. Hilbert basis theorem. Chinese remainder theorem. Canonical forms.

45h (T); E, PR: MAT 327

MAT 418 Algebraic Number Theory 3 Credits

Algebraic number theory: algebraic numbers, quadratic and cyclotomic fields. Factorization into irreducible, ideals and Minkowski‟s theorems, class-group and class number. Fermat‟s last theorem, Dirichlet‟s unit theorem.

45h (T); E, PR : MAT 306, 327

MAT 419 Galois Theory 3 Credits

Galois theory: algebraic elements, splitting field, fundamental theorem, finite field, cubic, quadratic and quintic equations.

45h (T); E, PR : MAT 306, MAT 327

MAT 420 Analytic Number Theory 3 Credits

Prime number. Euclid-Chebyshev‟s and Fermat‟s theorems. Quadratic reciprocity. Diophatine equations. Dirichlet problem.

45h (T); E.

MAT 422 Continuum Mechanics 3 Credits

Bodies, configurations and motions. Referential and spatial descriptions of motions. Mass, momentum, force and torque. The theory of stress. Equations of motion. The kinetic equation, first and second laws of thermodynamics.

45h (T); E, PR : MAT 311, MAT 324

MAT 425 Applied Functional Analysis I 3 Credits

Metric spaces and fixed points; metric spaces, optimal economic growth problems and fixed points by successive approximations. Applications of contraction mapping principle. Integration theory: fundamental result, integration in S and closure of S1 and S2. Complete space of integrable functions.

45h (T); E, PR; MAT 322

MAT 426 Applied Functional Analysis II 3 Credits

Separability and compactness. Algebraic structure of linear vector spaces. Normal spaces and continuous operators. Linear product spaces and Hilbert spaces. Minimization of quadratic functionals.

45h (T); E, CC: MAT 425

MAT 427 Computational Methods in Optimization I 3 Credits

Fundamental set operations, cost functions and optimization problems and norms of vectors. Local and global solutions. Existence theory: topological properties of sets, and sequences. Bolzano-Weierstrass theorem: existence of minima and maxima.

45h (T); E, PR: MAT 321

MAT 428 Computational Methods in Optimization II 3 Credits

Differentiation and Newton‟s method: Gradient and Jacobians, necessary condition for minimum and Hessian matrix. Convexity: convex functions and sets. Sufficient condition for minimum, convexity and the Hessian. Bases and eigenvectors. Gradient methods. Equality constraints. Linear inequality constraints.

45h (T); E, CC: MAT 427

MAT 429 Integral Equations 3 Credits

Classification of Integral equation: -Volterra and Fredholm types. Transformation to differential equations. Neumann series and Fredholm alternative for degenerate Hilbert – Schmidt kernels. Reduction of ordinary differential equations to integral equations. Symmetric kernels and eigen function expansion Applications.

45h (T); E, CC MAT 401

MAT 433 NUTMErical Analysis II 3 Credits

NUTMErical quadrature: Romberg, Gauss, integrable singular integrals, infinite range and multiple integrals. Discrete and continuous Tau methods for solving ODEs and error analysis. Partial differential equations; finite difference methods, stability, convergence and errors. Orthogonal expansions.

45h (T); E, PR: MAT 332

MAT 434 Complex Analysis III 3 Cred its

Local and general properties of conformal mapping and simple (Schmidt) functions. Application of the principles of reflection. Representation of a polygon on a half-plane. The Schwarz-Christofell transformation formula. Principles of symmetry. Dirichlet problem.

45h (T); E, PR: MAT 304, MAT 326

MAT 436 Fluid Mechanics II 3 Credits

Water wave motion. Shock wave theory. Dynamics of real fluids, Boundary layer theory at high Reynolds number.

45h (T); E, CC: MAT 413 MAT 438 Elasticity II 3 Credits

Geometry of homogenous deformation. Stress field concept. Isothermal constitutive relations. Linearized elasticity. Basic principles for boundary value problems. Some elastostatic fields.

45h (T); E, PR: MAT 401

MAT 499 Project 6 Credits

Each student under the guidance of an approved supervisor is required to conduct research in an area approved by the Department, culminating in the submission of a project.

270h (P); C

##### SUMMARY

100 Level

Compulsory Courses: MAT 111(3), 112(3), 113(3), 114(3) = 12 Credits

Required Courses: CSC 111(2), 112(2), GNS 111(2), 112(2), PHY 115 (2), 152 (3), 191(1), 192(1), STA 121(2), 124 (2), 131 (2), 134(2) = 23 Credits

Total = 35 Credits

200 Level

Compulsory Courses: MAT 201 (3), 203 (3), 206 (2), 208 (2), 211(3), 212 (3), 213 (2), 214 (1) = 19 Credits

Required Courses: CSC 211 (3), 218 (3), GNS 211 (2), 212 (2), STA 221 (3), 222 (3) = 16 Credits

Elective Courses: A minimum of 2 Credits from the following:

MAT 210 (2), CSC 202 (3), 204 (2), 210 (2), STA 223 (3), 224 (3) = 2 Credits

Total = 37 Credits

Direct Entry Students: GNS 111 (2), 112 (2) = 4 Credits

DE = 41 Credits

300 Level

Compulsory Courses: MAT 306 (3), 307 (3), 308 (3), 311 (3), 322 (3), 324 (3), 325 (3), 326 (3), 327 (3), 329 (3) 332 (3), 335 (1) = 34 Credits

Required Course: GNS 311 (2), GSE 301(3) = 5 Credits

Elective Courses: At least 2 Credits from the following: CSC 304 (2), 305 (2), MAT 313 (3), 316 (3), 317 (3), 321 (3), 323 (3), 328 (3), 334 (2), STA 311 (3) = 2 Credits

Total = 41 Credits

400 Level

Compulsory Courses: MAT 401 (3), 402 (3), 403 (3), 405 (3), 406 (3), 407 (3), 499 (6) = 24 Credits

Elective Courses: A minimum of 6 Credits from the following: MAT 408 (3), 409 (3), 410 (3), 412 (3), 413 (3), 415 (3), 416 (3), 417 (3), 418 (3), 419 (3), 420 (3), 425 (3), 426 (3), 427 (3), 428 (3), 429 (3), 433 (3), 434 (3), 436 (3), 438 (3) = 6 Credits

Total = 30 Credits

Graduation Requirements

UTME = 133 Credits

DE = 110 Credits

## DEPARTMENT OF PHYSICS

##### Course Description

B.Sc. Physics

PHY 115 Mechanics and Properties of Matter I 2 Credits

Units and dimensions. Scalars and vectors. Particle kinematics. Newton‟s laws. Friction, work and energy. Centre of mass. Simple harmonic motion and rigid body dynamics. Kepler‟s laws. Pressure in fluids, intermolecular forces, Hooke‟s law and Young‟s modulus, Fluid flow streamline turbulence, Stokes‟ law and surface tension.

30h (T); C

PHY 125 Heat, Sound and Optics 3 Credits

Temperature, thermometers, heat transfer and PVT surfaces, Kinetic theory, first and second laws of Thermodynamics. Transverse and longitudinal waves and standing waves. Intensity, beats and Doppler effect. Electromagnetic spectrum. Huygen‟s principle. Images formed by a single surface, thin lenses and aberrations. The eye, optical instrUTMEnt, interference, single slit diffraction, diffraction grating and polarization. Malus‟ law.

45h (T); C

PHY 142 Atomic and Nuclear Physics 2 Credits

Theory of atomic structure, Thompson, Rutherford and Bohr‟s theories and the hydrogen atom. Properties of the electron, em, C.R.O. and Millikan‟s experiment. Properties of the nucleus. Natural radioactivity, wave – particle duality f light, x-rays and photoelectricity. Thermionic emission and Diode-value.

30 h (T); C

PHY 152 Electricity and Magnetism I 3 Credits

Coulomb‟s law, Gauss‟s theorem, Capacitors, Ohm‟s law, Kirchoff‟s laws, electrical energy, DC bridges, Potentiometer, Magnetic effect of current, Electromagnetic induction, Moving coil and Ballistic galvanometers, Multimeters, DC and AC meters and generators, Magnetic materials: paramagnetism, diamagnetism, ferromagnetism. Hysteresis, Power in AC circuits, Semiconductors, Conductivity and mobility, Rectification.

45h (T); C

PHY 191 Practical Physics I 1 Credit

At least six experiments from the following: use of measuring instrUTMEnts, viscosity, surface tension, oscillation about an equilibrium position, Hooke‟s law, moment of inertia, focal lengths of lenses, refractive index, optical instrUTMEnts, the sonometer, heat capacity, volUTME expansion and latent heat.

45 (P); C

PHY 192 Practical Physics II 1 Credit

At least six experiments from the followings: potential difference and internal resistance of cells, use of potentiometer circuit; the metre bridge, simple current measuring instrUTMEnts. Planck‟s constants and radioactivity.

45h (P); C

PHY 208 Introduction to Astronomy and Space Science 2 Credits

Elementary celestial mechanics, Astronomical instrUTMEnts: observations and measurements, Optical, millimeter and radio telescopes. Structure of the universal solar system, Constellations, Galaxies, Life history of stars, The red-shift, Gravitation, Relativity and Cosmology, Space environment, Rockets and Space engineering.

30h (T); C

PHY 214 Mechanics and Properties of Matter II 2 Credits

Reviews of Newtonian mechanics, Gravitational potential energy, Conservation of energy and momentum, Rotation of rigid bodies, Interatomic and intermolecular bonding, Crystal structure, Elasticity, Viscosity, Thermal properties of solids, Diffusion in solids. 30h (T); C

PHY 225 Vibration and Waves 2 Credits

Oscillatory systems and complex solutions, Waves in elastic media, Resonance. Interference, Huygen‟s principle, Reflection, Refraction. Thin lenses, Optical instrUTMEnts, Michelson interferometer, Diffraction and resolving power, Bragg‟s law. 30h (T); C

PHY 243 Heat, Atomic and Nuclear Physics 2 Credits

Laws of thermodynamics, absolute zero, heat engines, kinetic theory, heat transfer. Planck‟s law, photoelectric and Compton effects, Frank-Hertz experiment, Discharge tubes, Atomic spectra, Bohr‟s theory. Radioactivity, fission, fusion, radiation detection,elementary particles, cosmic rays, biological effects of radiation.

30 h (T); C

PHY 252 Electricity and Magnetism II 2 Credits

Linear circuits and DC bridges, AC networks, Magnetic induction, Transients, Biot-Savarts‟ law, Lorentz force, Faraday‟s law, AC motors and generators, Junction diode, The triode, Transistor amplifier, diode rectification, power supply.

30h (T); C

PHY 291 Practical Physics III 2 Credits

Experiments to illustrate the principles of physics. learnt in the theory courses. Topics include Elastic constants, Moment of inertia, Acceleration due to gravity using compound pendulum, Viscosity. Calorimetry, Conductivity, Thermoelectricity, temperature, Coefficient of resistance, Light spectra and Radiation detection.

90h (P); C

PHY 292 Practical Physics V 2 Credits

Experiments to illustrate the principles of physics learnt in the theory courses. Topics include oscillatory systems. Telescope, microscope. Newton‟s rings, Young‟s experiment, grating and prism spectrometer. Potentiometer, Wheatstone and Carey Forster bridges, maximum power theorem, oscilloscopes.

90h (P); C

PHY 293 Practical Physics IV 1 Credit

A selection on principles of Physics in PHY 291 relevant to student‟s theory course

45h (P); (Not for Physics major)

PHY 294 Practical Physics VI 1 Credit

A selection on principles of Physics in PHY 292 relevant to student‟s theory course

45h (P); (Not for Physics major)

PHY 303 Energy Physics 2 Credits

Energy and power principles: demands and outlooks, transformation of energy, energy costs, thermal pollution. Energy from fossil, Hydroelectric generation: principles and problems, cost, storage capacity, reserves, efficiency and environmental effects. Energy from nuclear reactions, energy in the future breeder reactors, fusion power, solar power, geothermal power, tidal power. promise and problems. Excursion to an energy station (with a submission of a write-up).

30h (T); C

PHY 314 Classical Mechanics and Special Relativity 3 Credits

Conservative forces, Central forces, System of particles, principles of virtualwork,generalized coordinates and Lagrange‟s equations. Hamiltonian mechanics, Rotating frames, rotation of rigid body, Euler‟s angles, Motion of symmetric body,Normal modes, Coupled oscillations. Galilean relativity, Lorentz transformations, space-time diagram and point events, World lines and proper time, proper length, Mass-energy relation, Relativistic kinematics and dynamics, Conservation laws and invariants, Electric and magnetic fields. Point interactions, Collisions and particle creation. Four vectors and law of mechanics.

45h (T); C; PR: PHY 214

PHY 324 Waves and Optics 3 Credits

Coupled oscillators, wave equation, group and phase velocities. Reflection and absorption coefficients. Acoustic impedance, standing waves and normal modes. Lenses and lens systems. Polarization, polarizers, Babinet principle, Dichroism, birefringes interferometers, interference filters, diffractions and zone plate, Cornu‟s spiral, Fourier series and integrals. Holography and lasers.

45h (T); C; PR: PHY 225

PHY 331 Thermodynamics and Statistical Physics 3 Credits

Thermodynamic systems, thermodynamic potentials, free expansion of a gas and throttling process, phase transition, low temperature physics, statistical ensemble: Probability, microstates and macrostates statistical mechanics, Boltzmann distribution, Curie‟s law, partition function and systems.

45h (T): C; PR: PHY 243

PHY 342 Quantum Physics 3 Credits

Black-body radiation, Bohr atom, Many electron atoms. Zeeman and Paschen effects. Relativistic Compton effect, de-Broglie waves, wave-particle duality. Schrodinger equation, wave functions and probability amplitudes, stationary states. The Heisenberg uncertainty principle, simple operators, potential well, potential barrier and tunneling. Simple harmonic oscillator, Hydrogen atom.

45 (T); C; PR: PHY 243

PHY 353 Electromagnetic Theory I 3 Credits

Coulomb‟s law, Gauss law, potential, dipole moment, dielectrics, capacitance. Laplace and Poisson‟s equations, Lorentz law. Hall effect, Biot-Savart‟s law, Ampere‟s law, current loop, magnetic moment,magnetic susceptibility. Electromagnets. Electromagnetic induction, Faraday‟s law, magnetic circuits and reluctance,magnetic energy. Maxwell‟s equationof electromagnetic field.

45h (T); C, PR: PHY 252

PHY 354 Electromagnetism 2 Credits

Advanced AC theory, impedance and AC bridges. Power and phase. InstrUTMEnts for measurements of power, phase, voltage, three phase measurements and magnetic measurements.

30h (T);C, PR: PHY 252

PHY 357 Electronics I 2 Credits Introduction to Electronics, Components and Symbols, Semiconductor Physics – Energy Band theory – Insulator, Metals, Semiconductors, Intrinsic Semiconductor, Extrinsic Semiconductor, PN – Junction diodes – Fabrication, Characteristics, Applications.

Zener Diodes, Tunnel Diode, Varactor Diode, PIN Diodes, Point Contact Diode, Schottky Diode.Varistors and Thermistors. Rectifiers, Voltage Multiplier, Bipolar Junction Transistor – Operation, Biasing, Transistor circuit configuration and Transistor Characteristics,Single stage transistor amplifier circuits, Load lines and Biasing, Hybrid Parameters of Bipolar Junction Transistor Circuits.

15h (T), 45h (P); C, PR: PHY 252

PHY 358 Electronics II 3 Credits

Introduction to UJTs, JFET-construction, characteristics, JFET Amplifiers and Parameters, JFET DC load line and FET biasing, Hybrid parameters of JFET circuits and Applications. MOSFETS- construction, characteristics, MOSFET in Switches, Amplifiers, MOSFET Biasing. Amplifier Frequency Response (BJT and UJT), Differential Amplifiers, Feedback Amplifiers,Oscillators and waveform generations,Opto-electronic devices – Emitters, sensors and opto-couplers. Solar cells, Transistor Multivibrators and 555 Timer circuits, Operational Amplifiers – Differential Amplifiers, Inverting Amplifiers, Noninverting amplifiers, General applications of Op – Amps: Current Amplifiers, Followers, Integrator, Differentiator, Summing, Passive and Active Filters.

30h (T), 45h (P); C, PR: PHY 252; CC: PHY 357

PHY 365 Mathematical Methods in Physics 3 Credits

Functions of complex variables. Fourier methods. Laplace transform. Generalised functions: delta, step and Green‟s functions. Ordinary differential equations. Forced and damped oscillations. Sturm-Liouville problem. Wave equations in two and three dimensions and Poisson‟s equation. Legendre functions and Bessel functions. Spherical harmonics. Harmonic Analysis.

45h (T); C

PHY 391 Practical Physics and Treatment of Data I 3 Credits

Review of treatment of data. Forbe‟s bar and heat waves in solids. AC bridges and potentiometers. Characteristics of galvanometers, hysteresis loss in ferromagnetic materials. Damped and free oscillations. Coupled oscillations.

15h (T), 90h (P); C

PHY 392 Practical Physics and Workshop Practice III 2 Credits

Section A. Soldering welding, measurements of lengths, angles, shapes, hand and machine tools, carpentry, workshop health and safety. Section B: Advanced spectrometers, Spectro-photograph, Michelson and Fabry-Perot interferometers, Young‟s modulus of glass by Cornu‟s method, Fresnel‟s reflection of EM waves. 90h (P); C

PHY 393 Practical Physics and Treatment of Data II 2 Credits

Review of treatment of data. Selection of experiments from PHY 391

15h (T), 45h (P); E (Not for Physics major)

PHY 394 Practical Physics IV 1 Credit

Selection of experiments from PHY 392 section B relevant to students‟ theory courses 45h (P); E (Not for Physics major)

PHY 405 Seminar 1 Credit

Literature search and use of library. Scientific writing; Literature survey and presentation of seminars on selected topics.

45h (P); C

PHY 408 Principles of Physics 2 Credits Nature of science, role of hypothesis, theory and law, symmetry principle, revolutions in Physics, survey of historical development of Physics from ancient Egyptian astronomy to present day search for sub-nuclear particle, the contributions of Copernicus, Galileo, Newton, Einstein, and recent Nobel Laureates such as Glashow, Weinberg and Abdus-Salam.

30h (T); E

PHY 409 Measurement Method 2 Credits

Measuring instrUTMEnts. Input-output configuration and various inputs characteristics. Operational and sinusoidal transfer functions; zero, first and second order instrUTMEnts. Measurement of motion, pressure and force, resistance strain gauges, capacitive and piezoelectric transducers. Thermoelectric sensors, frequency measurement by variation method, resonant circuit and bridge methods. Absolute determination of frequency.

30h (T); E

PHY 416 Computational Physics 2 Credits

History and types of computers. Algorithm and Flow charts.Fortran 95, 2003, C++, Phython, Mathematica, MATLAB: Functions and Subroutines, Matrix operations. NUTMErical methods:Interpolation, Differentiation, Integration, ODE. Development of some Physics application softwares.

15h (T), 45h (P); E

PHY 417 General Relativity 2 Credits

Principles of equivalence. Extension of Lorentz Symmetry. Vector spaces. Euclidean point spaces. Absolute differential calculus. Einstein field equations. Linearization of the field equations, Solar system. Tests of relativistic gravitation, generation and detection of gravitational variation. Cosmological models.

30h (T); E, PR: PHY 363

PHY 423 Acoustics 2 Credits

Sound levels and spectrum measurement of levels. Loudspeakers, ultrasonic generators and microphones. Applications of acoustic device to non-destructive testing, medicine, radar and solar wave propagation in isotropic materials. Piezoelectric transducers. Measurement of acoustics impedance. Acoustics rooms measurement of reverberation time.

30h (T); E

PHY 432 Statistical Physics 3 Credits

Probability theory, ensembles, canonical distribution and phase space. Partition function and equipartition theorem. Specific heats of solids. Maxwell‟s velocity distribution, identical particles and symmetry requirements. Transport phenomena in gases, Maxwell-Boltzmann, Bose-Einstein and Femi-Dirac statistics. Blackbody radiation, conduction in metals.

45h (T); C, PR: PHY 331; CC: PHY 462

PHY 433 Vacuum Techniques 2 Credits

Molecularvelocities, Maxwell-Boltzmann distribution and laws, flow conductance and impedance. Viscous flow, Molecular flow, Rate of exhaustthrough tubes and orifices. Vacuum pumps, mechanicalpumps, molecularpumps, coin getter pumps, cryogenicpumps, measurements of gas pressure, high and ultrahigh vacuum gauges.

30h (T); E

PHY 442 Semi-conductor Physics 2 Credits Principles of tunneling, WKB approximation: application to triangular and parabolic barriers. Tunnel diode, p-n junction transistor, junction F.E.T. – derivation of conductance and pinch-off, surface physics, surface states. Schottky barrier diodes, Metal-oxide semiconductor transistor, Opto-electronic devices.

30h (T); E, PR: PHY 355; CC: PHY 446

PHY 443 Solid State Physics I 2 Credits

Crystalline state: two and three dimensional lattice types, crystal structures and lattice defects. Binding forces in solids, bulk modulus, ionic crystals and lattice vibrations. Thermal properties of solids. Einstein and Debye theories of heat capacity of solids. Fermi-Dirac distribution function, electrical and thermal conductivity of metals.

30h (T); C, PR: PHY 214

PHY 444 Solid State Physics II 2 Credits

Wave equation of electron in a periodic potential. Band theory of metals, semiconductors and insulators. Introduction to electrical, magnetic and optical properties of materials. Superconductivity. Introduction to dielectric properties of materials.

30h (T); E, CC: PHY 443

PHY 446 Nuclear and Particle Physics I 2 Credits

Review of nuclear properties, Nuclear size and shapes, Nuclear models: Fermi gas model, Shell model and Collective model. Alpha decay, Beta decay, Curie plots, Electron capture, Gamma decay, Internal conversion. Fusion, Fission, Reactors, Nuclear detectors. Elementary particles, The four forces, Feynman diagrams, Conservation laws.

30h (T), E; PR: PHY 342

PHY 447 Nuclear and Particle Physics II 2 Credits

Deuteron, Neutron-proton and Proton-proton scattering at low energies, Wave analysis, Effective range theory, Nuclear forces: central and non-central components. Nuclear models: Shell model and Collective model. Dynamics of nuclear reactions, Reaction cross-sections. Compound nucleus formation and break-up. Resonance scattering and reactions. Optical model. Accelerators. Conservation laws.

30h (T); E, CC: PHY 446

PHY 448 Principles of Spectroscopic Techniques 2 Credits

Interaction of radiation with matter. Rotational and vibrational energies of di-and poly-atomic molecules. Microwave and infrared spectroscopies. Quantum theory of Raman effect and Raman spectroscopy. Photo-electron spectroscopy, SCA, Auger and Mossbauer spectroscopy. Spin resonance techniques. Secondary ion mass spectroscopy. 30h (T); E, PR: PHY 342, PHY446

PHY 449 Microwave Theory and Applications 2 Credits

Waves and field distributions in rectangular and circular waveguides. Microwave measurements, Standing wave ratio, Waveguide components in microwave test bench and in surface and satellites communication systems.

30h (T); E

PHY 454 Communications 2 Credits

Analysis of linear systems. Analysis in frequency and time domains. Fourier and Laplace transforms. Delta and step functions. Power spectrum, D.S.B., S.S.B. Phase, amplitude and frequency modulations. Demodulation. Stereo-broadcasting. Multiplexing of signals, in TDM, FDM, CDMA, TDMA, digital modulation noise, noise sources in electronic systems, noise power spectrum and measurements. GSM techniques.

30h (T); E, PR: PHY 357, PHY 365 PHY 456 Electromagnetic Theory II 3 Credits

Maxwell‟s equations, wave equation, plane waves in isotropic dielectric, reflection, refraction, propagation in charged media. Transmission line theory, Smith chart and twin line. Coaxial, rectangular and circular guides. Strip line, elementary dipole fields, radiation resistance, directivity, efficiency and gain. Parabolic and horn reflectors.

45h (T); C, PR: PHY 353

PHY 457 Digital Electronics 2 Credits

Number systems and codes – Decimals, Complements, Binary numbers and arithmetic, octal, Hexadecimal, Other number systems and arithmetics, Logic gates, Circuits and Boolean algebra – Boolean Postulates, De Morgans theorems, Duality, Theorems, Simplification and Minimization of Boolean expressions, SOP, POS and Canonical forms of logical expressions, Minterms, maxterms. Karnaugh map, Arithmetic Circuits – Half Adder, Full Adder, Subtractor, Multiplexers, Demulltiplexers, Encoders, Decoders, Flip Flops – RS-Flip Flop, D- Flip Flop, JK- Flip Flop, Counters, Digital-to- Analogue and Analogue-to-Digital converters, Microcontrollers.

30h (T); E, PR: PHY 357

PHY 458 Plasma Physics 2 Credits

Definition of plasma temperature and Debye length. Motion in E and D fields, Time varying fields. Adiabatic invariants, Fluid equations, Drifts and Waves in plasma: electron plasma waves, sound waves, ion waves-lower hybrid frequency, electromagnetic waves, fusion and astrophysical plasma.

30h (T); E, PR: PHY 353

PHY 461 Quantum Mechanics I 2 Credits

Schrodinger equation, Hydrogen atom and Harmonic oscillator, State vector, Dirac , Representations: coordinate, momentum, energy. Magnetic moments. Matrix mechanics. Identical particles, The exclusion principle and many electron atoms. The periodic table, simple molecules, Fermi and Bose gases; Time independent perturbation: variational principles. Adiabaticand Sudden approximation.

30h (T); C, PR: PHY 342

PHY 462 Quantum Mechanics II 3 Credits

Time dependent perturbation theory, Scattering theory, Potential scattering. Green‟s functions and partial wave methods, Group theory and the quantum theory of atoms, molecules and crystals. Group representations, The full rotation group and angular momentum,Clebsch-Gordan coefficients, Spin-orbit interaction and hyperfine structure. Molecular electronic wave functions, Normal modes of vibration, Molecular rotation. Symmetryproperties of crystals, the group of the K-vector,crystalline electric fields.

45h (T); E, CC: PHY 461

PHY464 Mathematical Methods in Physics II 3 Credits

Linear algebra and functional analysis. Transformations in linear vector spaces and matrix theory. Hilbert space and complete sets of orthogonal functions. Partial differential equations. Solution of boundary value problems. Calculus of residues and application to evaluation of integral and summation of series.

45h (T); E, PR: MAT 325

PHY 465 Quantum Electronics 2 Credits

Quantum mechanics of the interaction of radiation and atomic systems. Einstein coefficients, Atomic susceptibilities, Spontaneous and induced transitions. Semiconductor lasers, Laser amplifiers, Oscillators and noise, Electro-optic effect and its applications.

30h (T); E PHY 471 Physics of Solid Earth 2 Credits

The earth in space, radioactivity and geochronology. Geothermics and planetary heat budget, geodesy and global gravity. Seismology and the planetary interior. Geomagnetism and palaeomagnetism, technophysics and geodynamics. Methods of geophysical survey: magnetic, electrical, gravity, seismic and heat flow.

30h (T); E

PHY 472 Physics of the Lower Atmosphere 2 Credits

Geopotential, hydrostatic equation. Static stability, Distribution of temperature and water vapour. Cloud growth, precipitation, electrical charge generation and dissipation. Global wind system, geostrophic and thermal winds. Solar and terrestrial radiation. Principles of radiative transfer, vertical fluxes of heat, methods of atmospheric probing and remote sensing.

30h (T); E

PHY 473 Ionospheric Physics 2 Credits

Composition and height distribution of the neutral atmosphere. Formation of the ionosphere: regular characteristics and irregularities. Radio wave propagation in homogeneous and ionized gas, measurement of ionopheric parameters, geomagnetism and the ionosphere.

30h (T); E

PHY 474 Geomagnetism 2 Credits

Development of geomagnetism, The earth‟s main magnetic field: the central and eccentric dipoles. Harmonic analysis.Geomagnetic field variations: secular, solar and lunar. The equatorial electrojet, magnetic disturbances and storms. Solar wind. 30h (T); E

PHY 475 Introduction to Solar Energy Physics 2 Credits

Solar interior. Solar constant: calculation and measurement. Solar radiation intensity reaching the earth‟s surface under clear sky condition and under cloud and aerosol covers. Solar energy harnessing, Natural solar conversion systems.Methods of solar collection. Thermal and electrical conversion systems. Economics of solar conversion systems.

30h (T); E

PHY 476 Crystallography and Electron Microscopy 2 Credits

Production of X-ray, lattice, crystal systems, planes and directions. Symmetry and point groups. Stereographic projection. Bragg‟s law and diffraction methods. Structure factor. Laue and powder methods. Optical microscope and its limitations. Electron microscope in transmission and scanning modes. Analytical and high transmission voltage electron microscopy.

30h (T); E

PHY 477 Electrical and Magnetic Properties of Materials 2 Credits

Free electron theory, band model, types of conductors, semiconductors, insulators-dielectric and polymers, conductivity of semiconductors. Dielectric polarization, ferroelectricity and piezo-electricity. Polymerization and elastomeric. Superconductivity, electron spin, diamagnetism, paramagnetism, ferromagnetism; magnetic domains; soft and hard magnetic materials, ferrites.

30h (T); E

PHY 478 Surface Physics 2 Credits

Interfaces, Physical characterization of surfaces using light microscopy. Electron diffraction. Field ion microscopy and atom probe techniques. Electronic structure of

solid surfaces. Transport of matter at surfaces. Chemical characterization of surfaces using ESCA, and Resonance Techniques (EPR and MNR).

30h (T); E

PHY 479 Biophysics 2 Credits

Force and equilibrium. Swimming and muscle force. Heat transfer, energy from metabolism, athletic performance. Fluid statics, blood vessels and the circulatory system. Ballistocardiography, electrocardiography, feedback and control, body temperature and nerve cells. The Hodgkin-Huxley equations. Sound, anatomy of the ear, theories of hearing, physiological optics and visual acuity.

30h (T); E

PHY491 Advanced Practical Physics I 2 Credits

Interferometry, Magnetic materials,Gravitation, Hall effect. Franck-Hertz experiment, Spectroscopy, Thermodynamics, Optics, Atomic and nuclear physics. Optoelectronics, Vacuum techniques, Electrical measurements.

30h (P); C

PHY 493 Advanced Practical Physics II 1 Credit

Selection of experiments from PHY 491 relevant to students‟ theory courses (Cannot be taken by Physics students).

45h (P); E

PHY499 Project 6 Credits

Each student under the guidance of an approved supervisor is required to conduct research in an area approved by the Department, culminating in the submission of a project.

15h (T), 225h (P); C

##### SUMMARY

100 Level

Compulsory Courses: PHY 115 (2), 125 (3), 142 (2), 152 (3), 191 (1), 192 (1) = 12 Credits

Required Courses: MAT 111 (3), 112 (3), 113 (3), 114 (3), CHM 111 (3), 112 (2), 115 (2), 132 (2), 116 (1), GNS 111 (2), 112 (2) =26 Credits

Elective Courses: At least 2 Credits from STA 122 (2), 124 (2) = 2 Credits

Total = 40 Credits

200 Level

Compulsory Courses: PHY 225 (2), 243 (2), 214 (2), 252 (2), 291 (2), 292 (2), 208 (2) = 14 Credits

Required courses: MAT 201 (3), 211 (3), CSC 211 (3), 218 (3), STA 223(3), GNS 211(2), 212 (2) = 19 Credits

Elective Courses: At least 6 Credits from MAT 212 (3), STA 224 (3), CHM 212 (3), 236 (3) = 6 Credits

Total = 39 Credits

Direct Entry Students: GNS 111(2) , 112 (2) = 43 Credits

300 Level

Compulsory Courses: PHY 303 (2), 314 (3), 324 (3), 331 (3), 342 (3), 353 (3), 354 (2), 357 (2), 358 (3), 365 (3), 391 (3), 392 (2) = 32 Credits

Required Courses: MAT 311 (3), 324 (3), 332 (3), GNS 311 (2), GSE 301 (3) = 14 Credits

Elective Courses: MAT 310 (2), 323 (3), 325 (3), 326 (3), 328 (3), 329 (3), CSC 202 (3) Total = 46 Credits

400 Level

Compulsory Courses: PHY 405 (1), 432 (3), 443 (2), 456 (3), 461 (2), 491 (2), 499 (6) = 19 Credits

Elective Courses: At least 8 Credits from the following:

PHY409 (2), 416 (2), 444 (2), 446 (2), 454 (2), 462 (2),457 (2) = 8 Credits

At least 4 Credits from the following:

PHY471 (2), 472 (2),473 (2), 474 (2), 475 (2), 476 (2), 477 (2), 478 (2), 479 (2) = 4 Credits

Total = 31 Credits

Graduation Requirements

UTME = 144 Credits

DE = 108 Credits

## DEPARTMENT OF STATISTICS

##### Course Description

B.Sc. Statistics

STA 121 Introduction to Probability 2 Credits

Probability as a measure of uncertainty. Sample points and events. Combination of events. Definitions and basic properties of probability. Joint and conditional probabilities. Combinatorial analysis

30h (T); C

STA 124 Introduction to Probability Distribution 2 Credits

Random variable, Bernoulli trials. Binomial, Geometric, Poisson, Uniform and Normal distributions. Concepts of linear regression, correlation and association of attributes.

30h (T); C

STA 125 Basic Concepts of Sample Survey 3 Credits

Populations. Census and sample survey. Comparison of sample and census. Sampling and non-sampling errors. Definition of concepts in sampling. Various sampling techniques. Use of random numbers.

45h (T); C

STA131 Introduction to Statistical Inference I 2 Credits

Statistical data: source, collection and preliminary analysis by table, graphs and simple statistics to include measures of location, dispersion, skewness, Kurtosis and correlation.

30h (T); C

STA 132 Laboratory for Inference 2 Credits

Presentation and analysis of data. Curve fitting and goodness of-fit tests. Construction of questionnaires and simple index numbers. Use of random numbers and statistical tables.

90h (P); C

STA 134 Introduction to Statistical Inference 2 Credits

Time series, demographic measures and index numbers. Inference estimation and tests of hypothesis. Regression and correlation of data

30h (T); C

STA 201 Statistics for Agriculture and Biological Sciences I 2 Credits

Use of Statistical Methods in Biology and Agriculture. Frequency distributions. Laws of Probability. Binomial, Poisson and Normal probability distributions.

30h (T) (Not for Statistics Students)

STA 203 Statistics for Physical Sciences and Engineering I 2 Credits

Measures of location and dispersion in simple and grouped experimental data. Elements of probability and probability distributions; Normal, Binomial, Poisson, Geometric. Negative Binomial.

30h (T); R

STA 204 Statistics for Agricultural and Biological Sciences II 2 Credits

Estimation and tests for hypotheses. Design of simple agricultural and biological experiments. Analysis of variance and covariance, Simple regression and correlation. Contingency tables.

30h (T); PR: STA 201

STA206 Statistics for Physical Sciences and Engineering II 2 Credits Estimation and tests for hypotheses concerning the parameters of distributions. Regression, correlation and analysis of variance. Contingency table. Non-parametric inference.

30h (T); PR: STA 203

STA 207 Biostatistics 3 Credits

Use of Statistical methods in Medical Sciences. Frequency distributions. Estimation and tests of hypothesis: normal, t–tests, chi–square and F–tests. Regression and Correlation. Simple Analysis of Variance.

45h (T) (Not For Statistics Students)

STA 208 Health and Vital Statistics 3 Credits

Sources of demographic statistics includiprobability. Addition and multiplication laws of probability. Conditional probability. Prior and posterior probability of events. Independent events. Bayes theorem. Discrete and continuous density functions. Cumulative distribution functions. Mean, variance and higher-moments. Chebyshev‟s inequality. Binomial, Poisson, Uniform and Normal distributions.

45h (T); C

STA 222 Probability Distributions II 3 Credits

Moment generating functions and its properties. Limit theorems in probability Central limit theorem for independently and identically distributed random variables. Distribution of order statistics. Hypergeometric, multinomial, negative binomial, exponential, beta, Cauchy, log-normal, Gamma, t, Chi-square and F distributions. Bivariate probability distributions. Conditional expectation. Variance and covariance.

45h (T); C, PR: STA 221

STA 223 Statistical Methods I 3 Credits

Sampling distributions, Central t, Chi-square and F distributions. Mean and variance of moments. Tests of significance concerning means, proportions and variance using t, Chi-square and F statistics. Theory of attributes. Contingency tables, Chi-square test and goodness-of-fit test.

30h (T), 45h (P); C

STA 224 Statistical Methods II 3 Credits

Simple linear regression and correlation. Elementary polynomial and multiple regression curves. Multiple correlation coefficients. Tests concerning correlation and regression coefficients. Fitting of straight line, polynomial and regression plane.

30h (T), 45h (P); C

STA 311 Probability Distribution II 3 Credits

Brief revision of basic concepts. Probability generating functions. Univariate and bivariate moment generating functions, univariate characteristics functions, and inversion formula. Various modes of convergence. Laws of large numbers and the central limit theorem using characteristic functions. Random walk and Markov chains. Introduction to Poisson processes.

45h (T); C, PR: STA 222

STA 312 Analysis Of Variance I 3 Credits

Analysis of simple, double and multiple classifications of balanced data in crossed and nested designs. Analysis of variance involving unbalanced data, incomplete tables, missing values, etc. Treatment of non-normality and heterogeneity of variances in data.

45h (T); C, PR: STA 222

STA 323 Biometry 3 Credits Purpose, history and structure of Biological assays. Types of biological assays. Terminologies, Name of direct assays Applications to strephanth use. Precision of estimates.

45h (T); E

STA 333 Regression Analysis I 3 Credits

Linear estimation. Multiple linear regression equations. Partial correlation coefficients. Gauss-Markoff linear model. Least square estimators. Estimable functions. Tests of independence of regression coefficients. Testing of

hypotheses relating to linear models. Cochran‟s theorem. Model selection procedures. Use of dummy variables. Non-linearity in parameters requiring simple transformation.

45h (T); C, PR: STA 224

STA 335 Design and Analysis of Experiments I 3 Credits

Basic concepts; randomization, replication and error control. Basic designs: Completely randomized designs, Randomized complete block designs and Latin Squares designs. Missing plot techniques. Choice of optimum designs. Factorial experiments: analysis of 2n and 3n factorial experiments. Orthogonality, Transformations. Analysis and efficiency of the above designs. Analysis of Covariance.

45h (T); C

STA 341 Statistical Inference I 3 Credits

Point estimation method of Moments, Least Squares, maximum likelihood and some properties of point estimator. Unbiasedness, sufficiency, completeness and uniform variance unbiasedness. Fisher‟s information. Cramer-Rao inequality. Interval estimation. Tests of hypotheses. Neyman-Pearson theorem.

45h (T); C, (PR): STA 222

STA 342 Statistical Inference II 3 Credits

Methods of estimation: Mini-max, MLE Optimum properties of estimators Sufficiency and factorization theorem. Rao-Blackwell theorem. Test of hypotheses. Discussion of optimality properties of tests.

30h (T), 45h (P); C, PR: STA 341

STA 348 Statistics Quality Control I 3 Credits

Quality assurance in modern business. Control charts for attributes: P-chart, C-chart, S-chart, acceptance sampling by attributes: single, double and multiple sampling plans. Sequential sampling plan. Sampling by variables.

45h (T); E

STA 349 Econometrics I 3 Credits

Basic concepts of econometrics in the linear model: Tests of specification and mis-specification, predictive and non-predictive and various hypotheses. Multi-collinearity. GLS, Linear restriction, dummy variables and seasonal variations. Dynamic models.

45h (T); E

STA 351 General Statistical Methods 3 Credits

Sampling distribution. Binomial, Poisson, Uniform and Normal distributions. Point and interval estimations. Simple and multiple linear regression

45h (T); E

STA 352 Economic and Social Statistics 3 Credits

Index numbers: Laspeyres, Pasche and Fisher‟s formulae. Errors in index numbers. National income accounting Statistics relating to Nigerian banking and accounting system Scope, Coverage, Source and Limitations of Nigerian industrial, agricultural, commercial, financial and social statistics. STA 353 Basic Statistics 3 Credits

Measuring variability: Bias and Errors in measurement. Collection, tabulation and presentation of data. Frequency distribution, histograms, measures of averages and dispersion. Some important distributions. Fitting of common distributions to data. Common tests of significance. Correlation and regression analysis.

45h (T); E (Not opened to statistics minor nor major students and any body who had STA 202).

STA 354 Statistical Computing 3 Credits

Programming in BASIC AND FORTRAN Computer languages, Computing of mean, variance, correlation and other moments. Storing and ranking of data. Basic statistical computing in regression analysis and the analysis of designed experiments. Use of some statistical packages like SPSS, SAS covering input-output of data.

30h (T), 45 (P); C

STA 358 Student Industrial Work Experience 3 Credits

Students will be attached to some Statistical and Industrial organizations for 10 m- 12 weeks during the long vacations. Students should present a report and a seminar.

135h (P); E

STA 362 Statistical Inference III 3 Credits

Sequential analysis. Non-Parametric tests: Chi-square, Sign, Median, Run, Wilcoxon and Kolmogrov-Smimov rank tests. Consistency and Relative Efficiency. Distribution free confidence and tolerance intervals. Large sample theory for confidence interval. Chi-square tests for Multinomial distributions.

45h (T); E. PR: STA 341

STA 363 Sample Survey I 3 Credits

Organization of sample surveys: Planning, execution and analysis of large-scale surveys with special emphasis on Nigeria. Various problems arising in sample surveys. Use of sample surveys over complete enUTMEration.

30h (T); 45h (P); C

STA 364 Sample Survey II 3 Credits

Basic concepts: Sampling designs and sampling strategy. Sampling and non-sampling errors. Standard sampling procedures: Simple random sampling, stratified sampling, linear and circular systematic sampling, varying probability sampling with replacement, cluster sampling. Two stage sampling with equal number of ssu per fse. Ratio, regression, difference and product methods of estimation in SRSWOR.

30h (T); 45h (P); C

STA421 Regression Analysis II 2 Credits

Partial correlation coefficients. Canonical correlation. Tests of independence of regression coefficients. Selection of the best regression equation. Multicollinearity and other problems associated with „‟Best Regression Models‟‟

30h (T); C, PR: STA 333

STA 423 Analysis of Variance II 2 Credits

Analysis of variance involving unbalanced data such as with missing observations. Multivariate analysis of variance. Analysis of multifactor, multi-response data. Non-normality, heterogeneity of variance, etc.

30h (T); C STA 432 Design and Analysis of Experiments II 3 Credits

Factorial experiments. Confounding in 2n and 3n experiments. Fractional factorial and replication in 2n factaorial experiments. Split plot. Incomplete block and Lattice designs, BIBD and PBIBD. Response surface designs. Rotatable designs

45h (T); C, PR: STA 335

STA 433 Statistical Method and Field Experimentation 3 Credits

Introduction to field experiments. Selection of designs for specific situations: collection and analysis of data. Analysis of variance and covariance. Design of experiments. Using and analyzing data from the following: pair plot, completely randomized, complete blocks, Latin squares and split-plot designs. Factorial experiments.

45h (T) (Not for Statistics minors or majors).

STA 435 Demography 3 Credits

Data sources. Population census, vital registration, demography, sample surveys, international classification of diseases, injuries and causes of death. Birth and death rates. Mortality indices. Measures of fertility. Reproduction rates. Standardization and vital statistics in Nigeria.

30h (T), 45h (P); C

STA 442 Sampling Surveys III 3 Credits

Ratio and regression methods of estimation in various sampling schemes. Double sampling procedures. Sampling on successive occasions. Multiphase and multi-stage sampling. Cost functions. Confidence intervals for population mean and proportion.

45h (T); E, PR: STA 364

STA 445 Statistical Inference IV 3 Credits

Decision theory: Elements of the theory of Games and Decision theory. Criterial of preference of decision procedures. Estimation theory: Minimax, Bayes and other decision procedures. Testing of hypotheses; including testing of equality of K means, multinomial probabilities and contingency tables.

45h (T); E, PR: STA 342

STA 446 Time Series Analysis 3 Credits

Objectives, types of variation. Tests and smoothing analysis of trend. Fourier representations of cyclical change, periodogram and spectrogram. Stationary time series. Correlogram and its interpretation. Non-stationary time series. Introduction to spectral analysis.

45h (T); C

STA 447 Psychometrics 3 Credits

Introduction to Scaling procedures: Scaling individual test items. Percentile scaling, sigma-scaling, T-scaling of rating or ranking. Test theory item analysis; parallel test, methods of estimating reliability and validity, intelligence tests, etc. Element of factor analysis.

45h (T); E

STA 448 Statistical Quality Control II 3 Credits

MIL-STD-105D. Description and procedures. Dodge-Roming sampling plans. MIL-STD-414. Description and use of tables. Cumulative sum charts. Control chart for individual units. Process capability analysis. Evolutionary operations. Chain sampling continuous sampling, skip-lot sampling. Lot-Plot methods. Other sampling methods.

45h (T); E, PR: STA 348 STA 449 Elementary Categorical Data Analysis 3 Credits

Probability models for 2 x 2 tables. Hypergeometric, product Binomial and multinomial models. Fisher‟s exact test Measure of association for 2 x 2 tables: odds ratio and Log-odds ratio. Correlation coefficient type statistics. Measure of sensitivity, specificity, and predictive accuracy. Some models under dichotomous response: logistic, probit and complimentary log-linear models.

45h (T); E, PR: STA 222

STA 453 Elements of Stochastic Processes 3 Credits

Family of random variables. Conditional expectation. Variance and covariance in case of multivariate distributions. Convolutions. Various types of stochastic processes. Probability generating function (pgf). Discrete time Markov chain (M.C.). Classification states. Elementary Queuing models. Poisson processes. Birth and Death Processes.

45h (T); C, PR: STA 222

STA 456 Operations Research 3 Credits

Stochastic and non-Stochastic phenomena and models. Linear programming. Feasible and optimum solution. Geometric method for optimum solution. Elements of non-linear and stochastic programming Application to transportation, storage and shortest route and other

45h (T); E

STA 457 Multivariate Analysis 3 Credits

Multivariate distributions and associated marginal and conditional distributions. Estimation of mean vector and variance matrix. Test of hypotheses. Hotelling‟s T and Mahalanobis‟s D Discrimination and Classification, Principal components and factor analysis.

45h (T); E, PR: STA 222

STA 458 Applied Multivariate Analysis 2 Credits

The course is meant to emphasize on the application part of multivariate analysis avoiding the mathematical proofs of the results. The topics covered are to be same as in STA 457. Practical Application on mathematic analysis.

90h (P); E

STA 494 Seminar 1 Credit

A student would be required to give a seminar on a topic approved by the Department. 45h (P); C

STA 499 Project 5 Credits

The project shall involve collection, analysis and interpretation of primary and, or, secondary data in an area approved by the Head of Department. A student would be required to submit a critical report on his/her work in triplicate to the Department for evaluation purpose.

225h (P); C SUMMARY

100 Level

Compulsory Courses: STA 121 (2), 124 (2), 125 (3), 131 (2), 132 (2), 134 (2) = 13 Credits

Required Courses: CSC111 (2), 112 (2), GNS111 (2), 112 (2), MAT 111 (3), 112 (3)

= 14 Credits

Elective Courses: Minimum of 3 Credits taken from Agriculture, Biology, Chemistry,

Computer Science, Economics, Geology, Mathematics and Physics.

= 3 Credits

Total = 30 Credits

200 Level

Compulsory courses: STA 221(3), 222(3) 223(3), 224(3) = 12 Credits

Required Courses: GNS 211 (2), 212 (2), CSC 211 (2), MAT 201 (3), 211 (3), 213 (2)

= 14 Credits

Elective Courses: At least 4 Credits taken from CSC 213 (3), 212 (2), 214 (2), 216 (2),

MAT 211 (3), 203 (3), 206 (2), 208 (2), 212 (3) or any other course(s)

from Chemistry, Computer Science, Economics, Geology, Mathematics

and physics = 4 Credits

Total = 30 Credits

Direct Entry Students: GNS 111 (2), 112 (2) = 4 Credits

300 Level

Compulsory Courses: STA311 (3), 312 (3), 341 (3), 342 (3), 333 (3), 335 (3), 364 (3), 363 (3),

354 (3) = 27 Credits

Required Courses: GSE 301 (3), GNS 311 (2) = 5 Credits

Elective Courses: At least 6 credits taken from MAT 312 (3), 320 (3), STA 358 (3),

STA 336 (3), 348 (3), 349 (3), 352 (3), MAT 311(3), 306 (3) or any other

course(s) from Chemistry, Computer Science, Economics, Geology,

Mathematics and physics. = 6 Credits

Total = 38 Credits

400 Level

Compulsory courses: STA 421 (2), 423 (2), 435 (3), 432 (3), 443 (3), 453 (3), 494 (1), 496 (5)

= 22 Credits

Elective Courses: At least 9 credits taken from STA 447 (3), 456 (3), 457 (3), 458 (2),

442 (3), 445 (3), 448 (3), 449 (3) or any other course(s) from Chemistry,

Computer Science, Economics, Geology, Mathematics and Physics.

= 9 Credits

Total = 31 Credits

Graduation Requirements

UTME = 120 Credits

DE = 111 Credits