100-LEVEL

200 LEVEL

SUMMER TERM

300 LEVEL

SUMMER TERM

400 LEVEL

SECOND SEMESTER AND SUMMER TERM

500 LEVEL

FIRST SEMESTER COURSE LISTING

TPE 211- Introduction to Petroleum Industry

Worldwide distribution of oil and gas reserves, Distribution of Energy and Hydrocarbons in Nigeria. Role of hydrocarbons. Alternative energy resources available in Nigeria. Exploration and mining for such resources. Technologies for the use of coal, shale, tar sands and biomass. Economic assessment of hydrocarbon resources. Opportunities in Petroleum Industry. Phases in the Petroleum Industry-exploration, drilling, production, refining and marketing. HL 45: HP 0; U 3, CR

TPE 312- Mechanics of Fluid flow in Porous Media

Underground hydrocarbon reservoirs; Definition and measurement of the reservoir rock properties such as porosity, permeability (absolute and relative) and Darcy’s law in porous media flow. Fluid saturations, compressibility and interfacial phenomena (surface energy, surface tension, energy of adhesion and cohesion, wettability and capillary, refractive index and electrical conductivity). Fundamental properties of multiple fluid saturated rocks; correlation between rock properties. Diffusivity equation, Steady state, Pseudo-steady state and transient flow; Radial flow and Well models.

HL 45: HP 0; U 3, CR

TPE 315 Reservoir Fluid Properties and Phase Behaviour

Properties of Ideal and Real gases. Compressibility equation. Oil and gas formation volume factors, viscosity. The liquid state; Physical properties of liquids, Transport properties of liquids, types of liquids. Properties of oil and gas: Composition of oil and natural gas; Classification of crude oil. PVT analysis; Phase behaviour of hydrocarbon fluids, phase rule and its applications to pure substance, Binary and multicomponent systems with emphasis on the production of crude oil, natural gasoline, condensate reservoir, Vapour-Liquid Equilibria. HL 60: HP 0; U4, CR

TPE 316- Technical Writing and Business Communications

Introduction to principles of effective communications with attention to the importance of emphasis, emotive content and style; Principles of technical writing, technical writing techniques, description of mechanisms, interpretation of statistics, research of published information, illustrations, writing informal reports, organization and presentation of technical reports, proposals, feasibility studies, technical correspondence and research grant applications. Impromptu and Oral presentations skills; technical aids in presentation, organization of practical applications. Preparation of resume, background research for interviews and conduct during interviews

HL 45: HP 45; U 4, CR

TPE 411 Well Design and Cementing Techniques

Well Design: Prediction of formation pore pressure and stress gradients. Determination of safety mud weight bounds for different in-situ stress conditions. Design and planning well trajectory. Surveying tools and methods. Design of drill string including bottom hole assembly. Drilling methods and equipment for directional, horizontal and multilateral wells. Selection of casing shoes, material properties and design of casing program. Cementing: Equipment, hole conditions; calculations and rate of circulation, squeeze cementing, cement plug. Cementing quality and monitoring Fishing; fishing tools, objects cost in the hole, fishing methods. Casing design: mechanical properties - tension, collapse and burst; designing a casing string.

HL 45: HP 0; U 3, CR

TPE 514 Wellbore Hydraulics

Principles of two-phase flow in pipes; the general energy equation; Evaluation of friction losses. Single phase flow. Variables used in two phase flow. Flow pattern. Horizontal flow; Prediction of horizontal flow patterns. Flow through restrictions. Air and gas drilling; lifting capacity of fluid. Determination of pressure drop, horsepower, and torque. Drilling services contract. Control of kicks, pressure control and blowout prevention.

HL 45: HP 0; U 3, CR

TPE 412 Introduction to Well-logging & Interpretation

Well logging devices, Fundamental principles and technology. Qualitative analysis of conventional electrical logs; Spontaneous potential and resistivity, radioactive; gamma and neutron, acoustic/velocity; Sonic and Density, Caliper, Inclinometer, Dipmeter and thermometer logs. Use of Combination logs, Crossplots. Production logging. Computer processing of logs. Logging while drilling systems;

HL 30: HP 5; U 2, CR

TPE 414 Offshore Operations

Offshore drilling; offshore prospecting, offshore rigs. Stationary and floating rigs; rig movement and stability. Drilling from a floating vessel. Subsea BOP stack; marine risers, subsea well head. Offshore Production: Subsea well completion methods, offshore processing equipment and design; loading systems and other transportation. Offshore Operations: Logistics, Contingency planning; Oil spill and removal.

HL 45: HP 0; U 3, CR

TPE 415 Oil Pollution and Control

Industrial wastes in the Petroleum industry and methods of disposal: causes of oil pollution; blowouts, pipeline and flowline leakages, Sour gas production, Sea transportation hazards. Oil spill prevention and control; impact on environment-ecology. Methods of control; mechanical, chemical and biological methods. Global pollution problems. Government regulations. Roles of inspectorates.

HL 45: HP 0; U 3, CR

TPE 416 Petroleum Engineering Laboratory II

Experimental investigation of some elementary engineering concepts relating to reservoir fluid and rock properties particularly solubility, shrinkages, saturation and oil viscosity tests, capillarity, permeability and porosity evaluation. Flow measurements.

HL 0: HP 90; U 2, CR

TPE 417 Petroleum Production Equipment and Operations

Surface equipment and operations. Flow control and wellheads. Gathering systems; service and cleaning systems; design and testing of flowlines. Separation and separators;separator components, stage separation; design and construction of separators. Metering oil and gas: Flow measurement system; liquid level controllers. Emulsion problems; oil emulsions; emulsifying agents and de-emulsifiers; choice and dosage of de-emulsifiers, heat treatment, heat treaters, desalting, oil storage and tank farms. Gauging, sampling and quality control. Underground storage - caverns etc. Water disposal. Corrosion. Water injection systems. Subsurface equipment.

HL 45: HP 0; U 3, CR

TPE 418 Reservoir Engineering I- Material Balance

Estimating reserves: material balance equations, specific types, Application to Gas and Condensate reservoirs; Analysis of gas cap expansion; bottom and edge water drive systems; general drive mechanisms in reservoir systems. Water influx theory; Steady state; Pseudo steady state; Transient; Pressure decline analysis and other techniques of predicting reservoir behaviours; Reserves classifications: Proved, Probable and Possible. Gas cycling.

HL 45: HP 0; U 3, CR

TPE 511 Mechanics of Secondary Oil Recovery

Principles of displacement: rock properties, fluid properties in reservoir, phase behaviour; mobility ratio, displacement efficiencies - areal and vertical sweep efficiencies. Immiscible displacement, Buckley Leverett theory, water flooding performance calculations, Flood patterns, Stiles and Dykstra-Parsons resistance ratio method, viscous fingering. Gas methods - gas cap injection, miscible slug; enriched gas; high pressure lean gas; carbon dioxide, nitrogen and other inerts. Chemical methods, micelar polymers; polymer-augmented water flood; permeability alteration; caustic; thermal methods: elementary thermal recovery methods; steam stimulation; steam drive; in-situ combustion. Data upscaling.

HL 45: HP 0; U 3, CR

TPE 512: Petroleum Business Practices and Entrepreneurship

Business Practices: Joint Ventures, contracts, company structures, types of interest, stock market terminology and activities, acreage and reserves acquisition, farming, company annual reports, company special reports, oil and gas marketing, reserves reporting, relations with Governments and partners. Job opportunities in the oil industry. Economic evaluation of petroleum projects. Financing and financial practices. Marketing and negotiation strategies. Regulations on refinery, LPG and other petroleum plants.

HL 45: HP 0, U 3.0

TPE 513 Computer Applications in Petroleum Engineering

Computer applications of numerical techniques to the solutions of O.D.E and P.D.E in petroleum engineering including selected problems dealing with drilling, production and reservoir engineering. (Fluid flow, PVT behavior, e.t.c), Digital correlations of random data. Matrix of simultaneous equations.

HL 45: HP 0; U 3, CR

TPE 514 Wellbore Hydraulics

Principles of two-phase flow in pipes; the general energy equation; Evaluation of friction losses. Single phase flow. Variables used in two phase flow. Flow pattern. Horizontal flow; Prediction of horizontal flow patterns. Flow through restrictions. Air and gas drilling; lifting capacity of fluid. Determination of pressure drop, horsepower, and torque. Drilling services contract. Control of kicks, pressure control and blowout prevention.

HL 45: HP 0; U 3, CR

TPE 515 Petroleum Production Engineering

Well completion techniques and equipment, Drill Stem Test, flowing well inflow performance, vertical lift performance, optimum size tubing and chokes, production forecast; Design and analysis of artificial lift methods of petroleum production; Nodal Analysis; Workover operations and sand exclusion techniques.

HL 45: HP 0; U 3, CR

TPE 516 Basic Well Testing

Mathematical basis of bottom hole analysis; Differential equations for radial flow in a porous medium. Principle of Superposition, Effects and duration of Afterflow; Pressure drawdown and Build up analysis. Reservoir testing and performance analysis: well test- drillstem tests (DST); production tests, pressure tests on gas wells; formation interval testing and other well testing techniques. Practical aspects of design and performance of field tests; Coning of water and gas; effects of partial penetration.

HL 45: HP 0; U 3, CR

TPE 517 Subsurface Techniques in Reservoir Evaluation

Introduction to subsurface mapping. Preparation of contours, isopach, structure maps, uses of well controls, faults and fault plane maps. Correlations of well logs for field map construction. Use of reservoir maps for reservoir calculations; Planimetry. Reservoir heterogeneities. Geostatistics and kriging techniques.

HL 45: HP 0; U 3, CR

SECOND SEMESTER COURSE LISTING

TPE 221 - Introduction to Petroleum Engineering

The concepts of units and dimensions: The concept and basis of measurement and analysis of pressure, temperature, and other parameters. Material and energy balance technique - the control surface concept.

HL 45: HP 0; U 3, CR

TPE 321 – Well Drilling Equipment and Operations

Techniques for drilling oil wells; cable tool and rotary rigs: Derricks and masts, hoisting equipment, prime machine, drill string, casing, drill bits, drilling pumps, blowout preventers, circulating system. Drilling fluids - composition, functions, classification, Drilling parameters: Choice of drilling programme and drilling rig; mechanical parameters and their optimization - drilling bits; hydraulic parameters - mud calculations, control of mud properties. Well completion fluids. Drilling mud performance. Drilling hydraulics. Hydrostatic and formation overburden pressures. Coring. Geological work techniques. Drilling and casing programs. Drilling performance. Offshore drilling rigs. Fundamentals of rock mechanics. Crater formation. Plastic and pseudoplastic characteristics of rocks load rate mechanism. Static and impact loading; tooth penetration as a function of differential and overburden pressures. Effect of differential pressures on drilling rate.

HL 45: HP 0; U 3, CR

TPE 322 Pipeline Engineering

Generalized Benoullis equation. Pressure drop calculations in crude and product pipelines. Pipeline standards and codes. Pipeline maintenance. Pipelines corrosion. Cathodic protection. Pigging techniques. Gas pipeline calculations. Macroscopic and microscopic considerations in pipeline design and construction.

HL 45; HP 0, U 3.0

TPE 323 Petroleum Economics

The structure of the Petroleum Industry; Economic Geography - Impact of oil resources in the economy of oil producing countries. Oil concessions in Nigeria. Government participation; the Nigerian Petroleum Labour Market; Cash flow analysis, CAPEX, OPEX and UTC in petroleum industry; Fiscal regimes in petroleum industry; Marketing and Sales calculations. Investment analysis; Risk analysis and probability. Financing. Energy crisis.

HL 45: HP 0; U 3, CR

TPE 324 Petroleum Engineering Laboratory I

Laboratory experiments on the properties of drilling fluids, completion fluids and cement slurries.

HL 0: HP 90; U2, CR

TPE 325 Natural Gas Processing and Unit Operations

Application of the concept of thermodynamics, transfer phenomena and phase behaviour in the conditioning and processing of natural gas and its liquids, adsorption, absorption and fractionation processing. LPG, LNG system. Design of natural gas facilities-pressure losses in pipes. Pressure losses in armature and fittings. Pumps. Nozzle theory and mass transfer. Dehydration; Need for dehydration of gas; Dew point depression; Absorption with glycol and adsorption with solids; Sulphur removal; Scale problems. Control of gas quality. Adsorption facilities. Fractionation and heat exchanger design. Storage

HL 60: HP 0; U 4, CR

TPE 521: Introduction to Reservoir Simulation

Types of mathematical models. Finite differences. Components of a simulator. Data gathering. Grid systems. Static modelling and geological inputs. Initialization. History matching. Forecasting. Introduction to compositional simulation. Making a simulation study with a “canned” simulation package.

HL 30: HP 45; U 3, CR TPE 513, TPE 526, TPE 418, TPE 516

TPE 522- Petrophysical Interpretation and Application

Quantitative analysis of conventional electrical logs; Spontaneous potential and resistivity, radioactive; gamma and neutron, acoustic/velocity; Sonic and Density, Caliper, Inclinometer, Dipmeter and thermometer logs. Use of Combination logs, Crossplots. Production logging. Computer processing of logs. Logging while drilling systems; Cased-hole logging; Modern logging tools, practice at Schlumberger Learning Center. HL 30: HP45; U 3, CR

TPE 523 Special Topics

Selected topics relevant to the Nigerian Petroleum Industry. To be taught by invited special guests from time to time.

HL 45: HP 0; U 3, CR

TPE 524: Oil Field Development Planning

Elements of planning. Application to Green, Brown and Marginal oil fields. TECOP consideration. Development concepts and selection. Well planning. Synergy in petroleum asset management. Subsurface development realizations. Surface development options. Development sequence. Elements of project management. TQM and ISO 14001 requirements. Risk register and risk management. Integrated operations philosophy and planning. HSE.

HL 30; HP 45, U 3.0

TPE 525 Natural Gas Engineering

Natural gas well, gas hydrates, hydrogen sulphide, gathering systems; pipeline and transportation; maximum pipeline capacity; other transportation systems; field compression, gas flow measurement orifice meter; critical flow prover; Absolute open flow potential; Deliverability gas reserves; Material balance, Pressure decline curve. Gas Plan Design.

HL 45: HP 0; U 3, CR

TPE 526 Oil and Gas Property Evaluation

Review of elementary statistics and probability distributions pertinent to petroleum engineering, estimation of reserves by decline curves analysis; Discounted cash flow and investment criteria including such topics as interests (simple and compound), discount factors, present value profit, earning power, interpretation of profitability criteria and accelerated projects. Hydrocarbon property evaluation - income, expenses, profits operating net income, present worth, pay out time, rate of return, decisions under uncertainty - decision trees for petroleum decisions, critical path method and programme evaluation and review technique.

HL 45: HP 0; U 3, CR

TPE 527 Petroleum Engineering Laboratory III

Experimental studies of Petroleum Engineering problems in production, reservoir and natural gas engineering. Sampling and pressure measurements, displacement experiments, water flooding, thermal recovery experiments in reservoir and natural gas engineering. Measurement of petrophysical parameters and fluid properties.

HL 0: HP90; U2, CR

TPE 528 Petroleum Products Transportation and Marketing

Transportation of crude oil; Pipeline, tankers - loading and unloading techniques, offshore loading systems, international regulations on tanker transportation. Transportation of gas. Gas compressors, pipelines, LNG transportation. Storage of petroleum and petroleum products - pressure tanks, underground storage, storage of LNG. Marketing economics and calculations.

HL 45: HP 0; U 3, CR

TPE 529 Petroleum Refining Technology

Petroleum Processing equipment: storage tanks, rectification columns; heat exchangers; pipe furnaces, pipelines and fittings; preliminary processing of petroleum; Preparation of petroleum for processing; distillation with rectification; plants for preliminary processing. Thermal processes; thermal cracking, coking, pyrolysis. Catalytic processes; catalytic reforming, hydrogenation processes, hydrogen cracking.

HL 45: HP 0; U 3, CR

TPE 599 Project

Advanced independent investigation into a Petroleum engineering problem under the supervision of a departmental staff.

HL 0: HP 270; U6, CR

SOME NON-DEPARTMENTAL COURSES

TME 111 BASIC ENGINEERING DRAWING

Introduction to Engineering drawing as a means of communication. Drawing paper format. Use of drawing instruments. Types of line and their uses in Engineering drawing. Circles and tangents. Circles to satisfy conditions involving other circles, lines and points. Conic sections. Various methods of their construction. Cycloid, epi and hypocycloids. Involutes. Archimedes spiral. Loci: the Helix (cylindrical and conical) single and multi-start threads. Coiling of compression and tension springs. Loci- paths of points on moving links. The theory of projection. Perspective (briefly). Parallel projections (Oblique – general, cavalier, cabinet). (Orthographic – multi-view, Two views, Three views, Auxilliary views). (axonometric – isometric, diametric, trimetric). Multiview representation. 1^st and 3^rd angle representations. Isometric drawing. Oblique drawings. Revisions.

HL 15; HP 45; U – 2, CR – 0, P –0

TME 121 BASIC WORKSHOP PRACTICE

Introduction to workshop practice; types of machines; lathe, milling machine, shaper, drill, folding machine, shear, press, etc. their uses and tools. Safety in the workshop. Organization of the workshop. Introduction to methods and tools, for producing threads, holes, slots, tapers, etc. influence of the shapes and sizes of the tools on the detail of these parts. Introduction to wood workshop tools; properties of wood and their influence on the detailed design of wooden structures and components, e.g. wood fasteners, and preservation measures. Botanical and trade names of different types wood on the market.

Three practical exercises: Cutting with the hacksaw, filing, drilling, Sheet metal work (cups, trays, etc) and Wood work (use of planes and squares etc)

HL 15; HP 45; U 2; CR 0

GES 101 USE OF ENGLISH I

An intensive, practical and skill – oriented English course, specifically design to develop easy writing skills (organization and logical presentation of ideas, dictation, grammar and style), functional reading skills (comprehension, analysis, evaluation, logical inferences and effective application) and listening comprehension and note-taking.

HL 20; HP 0; U 2; CR 0; P 0

GES 103 GOVERNMENT, SOCIETY AND THE ECONOMY

This is an introductory course which offers an opportunity for the non-social scientists to have an encounter with the study of human society and behaviour with the ultimate aim of gaining an understanding of social phenomena. It basically introduces student to the various branches of the social sciences like Psychology, Sociology, Economics, Political Science, Geography etc. The course is intended to prepare future leaders and policy makers for challenges ahead since the social sciences are important in the national/public policy development as well as public enlightment.

HL 20; HP 0; U 2; CR 0; P 0

CHE 126 INORGANIC CHEMISTRY I

Electronic configuration, periodicity and building up of the periodic table. Hybridization and shapes of simple molecules. Extraction of the metals.

Cooperative chemistry of groups IA (alkali metals) IIA (alkaline earth metals and IVA (carbon group) elements.

HL 60; HP 0; U 4; CR 0; P 0; Tutorial 15

CHE 156 PHYSICAL CHEMISTRY I

Atoms, molecules and structure. Bonding and intermolecular forces. Kinetic theory of matter. Elementary thermo-chemistry, rates of reactions. Equilibrium. Acids, bases and salts. Oxidation reduction reactions and introduction to electro chemistry.

HL 60; HP 0; U 4; CR 0; P 0; Tutorial 15

CHE 176 ORGANIC CHEMISTRY I

Tetravalency of carbon, structure, molecular composition and variety of carbon compounds. Functional group classes of carbon compounds. Reaction mechanism and kinetics. Skeletal classification of carbon compounds. The chemistry of alkenes and petroleum, alkanes including ozonolysis, alkynes, benzene alcohols including phenols, ethers, aldehydes, ketones, carbonylic acids and derivatives, and amines, structure of simple sugars, starch and cellulose, peptides and proteins. Synthetic polymers from various classes of compounds. Mechanisms of reactions discussed in all cases and uses.

HL 40; HP 0; U 3; CR 0; P 0; tutorial 15

CHE 191 PRACTICAL CHEMISTRY

HL 0; HP 90; U 2; CR 0; P 0

PHY 102 INTRODUCTORY MECHANICS AND PROPERTIES OF MATTER

Coulomb’s law, electric charges and methods of charging. Electric field intensity and charge distribution in conductors and insulators of various configuration. Electric potential, potential energy. Capacitors and dielectrics. Ohm’s law and analysis of direct-current circuits containing only resistors, cells and simple circuit laws et. Kirchoff’s law. The wheatstone bridge and potentiometer and their application, electrodynamics of charged particles, magnetic fields and magnetic forces of/on current carrying conductors. Applications to measuring instruments. Concepts of electromagnetic-induction and applications motors, dynamos, generators, etc. AC voltages applied to inductors, capacitors and resistance singly and combined. The transformer.

HL 45, HP 0, U 3, CR 0, P 0

PHY 103 INTRODUCTORY HEAT AND THERMODYNAMICS

Rectilinear motion. Newton’s law of motion. Gravitation. Satellites and radia escape velocity. Work and energy; friction and viscosity. Orbital motion, moments of inertial and conservation of angular momentum and energy of rotation. Simple harmonic motion of simple systems. Simple properties of solids-elasticity, etc. surface tension and capillary effects, temperature scales. 1^st and 2^nd law of thermodynamics as applied to the property of solids, liquids and gases eg calorimetry, expansion of liquid, gas properties, heat engines, heat pumps and refrigeration. 3^rd law and absolute – zero of temperature thermal conductivity, types of radiation and energy spectrum of radiation.

HL 45, HP 0, U 3, CR 0, P 0

PHY 105 INTRODUCTORY WAVES, OPTICS AND MODERN PHYSICS

The atomic structure. Isotopes. Radioactivity, vacuum and semi-conductor devices. The cathode-ray and x-ray tubes. Types and properties of waves as applied to sound and light energies, Doppler effect. Superposition of waves; reflection and refraction of waves at plane and curved boundaries. Huyggen’s principle. Propagation of sounds in gases, solids and liquids and their properties. Optics; refraction of light at plane and curved surfaces and the lens makers formula. Properties of lenses and application in optical instruments – eg microscopes, telescopes, etc. aberrations. Polarization, interference, dispersion of light. Photometry and light spectrum analysis. The unified spectra analysis of waves.

HL 45, HP 0, U 3, CR 0, P 0

PHY 118 EXPERIMENTAL PHYSICS I

Experiments arising fro the theory of courses of PHY 111 and PHY 112 and illustrative of basic physical techniques for observation, measurements, data collection and analysis and deduction.

HL 0, HP 135, U 3, CR 0, P 0

MAT 111 ALGEBRA

Polynomials, the remainder and factor theorems. Polynomial equations and inequalities – especially linear, quadratic and cubic. Domain and Zeroes of rational functions. Partial fractions, curve sketching of polynominal and rational functions. The principles of mathematical induction and its application to properties of natural numbers. Permutations and combinations. The binomial theorem for any index and applications. Sequences, series, A. P., G.P. limits and sums to infinity. First and second differences of a sequence. Addition, subtraction, multiplication and division of complex numbers. Fundamental theorem. N-th root of complex numbers. Introduction to m x n matrices where m, n, = 5 elementary operations on matrices and applications to solution of linear equations. Elementary properties of determinants of at most 3 x 3 matrices.

HL 60, HP 0, U 4, CR 0, P 0

MAT 121 CALCULUS AND TRIGONOMETRY

Functions: Concepts and notation; polynomial and rational functions, trigonometric functions, exponential/logarithmic functions. Functional linear equations. Idea of limit; techniques of finding limits. Derivatives: definition and calculation from first principles, derivatives of constants, differentiation maxima, turning points; linear programming, exponentials e, e^x, logs sequences, integration.

HL 60, HP 0, C 0, U 4, P 0

MAT 141 ANALYTICAL GEOMETRY AND MECHANICS

Equations of lines and plane; conic sections; circle, parabola, hyperbola, ellipse. Vectors in R², R³, Scalar product, vector product, triple products. Applications to geometry. (the vector approach should be used where possible in what follows). The notions of displacement, speed, velocity and acceleration of a particle. Newton’s laws of motion and applications to simple problems. Work, power, and energy. Application of the principle of conversation of energy to motion of particles and those involving elastic strings and springs. Conial pendulum. Simple harmonic motion. Power, sums, products, quotients, composite functions; implicit functions, polynomial and rational functions, inverse functions circular functions, logarithmic/exponential function higher order derivatives, applications small increments, approximations and errors, extreme integration: as the inverse of differentiation, as area as limit of finite sums. Integration of sum/scalar multiple of functions with applications. Integration of circular functions. Definite integrals general properties of definite integral. Some applications to geometry, mechanics, biology and social science. Derivative of hyperbolic functions; inverse circular.hyperbolic functions. Method of taking the logarithm before differentiating, successive differentiating, successive differentiation of implicit functions and of functions like a sin. (bt + c) approximations. Hard integration; further techniques. Evaluation of (t2 + A2) –1 at integration of irrational functions only) the argand diagram de-Movies theorem N-th roots of complex numbers. Introduction to mxn matrices where m, n 5. elementary operations on matrics and applications to solution of linear equations. Elementary properties of determinants of at most 3 x 3 matrices. Transformation of the plane translation. Reflection rotation enlargement shoar composition of transformation – invariant point and lines.

HL 60, HP 0, U 4, CR 0, 13 = 0

TME 211 ENGINEERING DRAWING I

Revision of multi-view representation. Harder examples on two and three view representation (1^st and 3^rd angles). Harder examples on isometric drawing to include simple pictorial assembly drawing in isometric. Harder examples on oblique drawing (Cavalier, Cabinet and Angles other than 45 degrees). Dimensioning. Section and Conventions. Auxiliary views. Representation and specification of threads. Bolted joints. Keys and cottered joints. Conventional representations (see BS 308).

HL 15; HP 45; U=2, CR = 0, P =0.

TME 212 ENGINERING MECHANICS

Newton’s laws and rigid body dynamics. Work and energy: Linear and Rotational, Moments of Inertia. Conservation of energy. Friction belts; Ropes and Screw Threads. Simple Free Vibration Problems.

HL 30., HP 0., U =2, CR = 0,

TME 213 THERMODYNAMICS

Fundamental concepts. First and Second Laws of Thermodynamics and their corollaries; their consequences and application to non-flow and flow processes such as turbines, compressors, evaporators, combustion, nozzles, diffusers and throttling processes. Properties of pure substances and their presentation on the thermodynamic planes – steam and steam tables.

HL 45., HP 45., U = 4, CR = 0, P = 0.

TME 214 INTRODUCTION TO COMPUTER PROGRAMMING

Simple ideas of man-computer interaction, Local computer system configuration. Flow graphs, basic aspects of FORTRAN. Simple debugging techniques. Laboratory exercises.

HL 15., HP 45., U 2., CR 0., P 0

TME 221 WORKSHOP PRACTICE I

The use and maintenance of simple hand tools and powered tools that are required in a machine shop; Files, saw saw-blades, drills, punches, etc. Tools for wood-working. Machining operations on a simple lathe., Turning threading and knurling. Metal milling machines. Metal joining practices, air-gas welding, bracing and soldering. Introduction to portable wood working tools. Wood conversion and seasoning. Three practical exercises.

· Parallel and taper turning on the lathe

· Arc and gas welding

· Wood work (Construction of joints, butt, dove tail, Mortise and tenon etc).

TME 223: ENGINEER IN SOCIETY

Philosophy of Science. History of engineering and technology. Safety in Engineering and introduction to Risk Analysis. The role of the engineer in society, his responsibilities, his liabilities, his legal obligations in contracting consulting and supervision. The engineer an contract determination. The legal status of COREN and the NSE. The status and image of the Nigerian engineer in uplifting this image. The liabilities and responsibilities of the engineer in self-employment as well as the engineer in paid employment. The changing face of the engineering profession in Nigerian including the status of craftsmen, apprentices, journeymen, artisans, technicians, technologies and graduate engineers.

HL 30; HP 0; U 2; CR 0; P 0

TME 224 FLUID MECHANICS I

Physical properties of fluids. Fluid statics. Fluid motion., conservation laws and mass,

momentum and energy. Introduction of fluid friction energy equation in vicious flow. Laminar flow., steady flow in pipes, flow between parallel plates.

HL 30., HP 45., U 3, CR 0, P0.

TME 225 STRENGTH OF MATERIALS I

Considerations of equilibrium., composite members, stress-strains relation. Generalized Hooke’s law. Stress and strain transformation equations and Morch’s circle. Shear force and bending stresses in beams. Deflection of beams. Torsion of circular members. Stresses in thin cylinders and spheres.

HL 45., HP 45., U 4, CR 0, P 0.

TEL 211 APPLIED ELECTRICITY

Electrostatics capacitance. Magnetic fields. Inductance magnetic circuits. Electric circuits. Kirchoff’s laws. Basic circuit theory. DC and AC circuits. Phase diagrams. Resonance power. Power factor. Power factor correction. Principles of transformers and electrical machines. The dynamo.

HL 45, HP 45, U 4, CR 0, P 0

GES 103 GOVERNMENT, SOCIETY AND ECONOMY

Concept of society and typologies of society politics and government structure., nature and characteristic of government., tiers of government. Concepts of economic. Types of economies, fundamentals and problems of economies. Growth and development in the Nigerian economy since independence

MAT 213 ALGEBRA

Sets, relations, mappings, orders, groups, rings, integral domains, fields. Fundamental theorem of arithmetic, polynominals in single variable. Theory of equations, inequalities. Vector spaces, linears dependence, basic and dimension. Linear mappings, rank and nullity. Algera of matrices, elementary operations on

MAT 241 ORDINARY DIFFERENTIAL EQUATIONS

Derivation of equations from physics, geometry etc. Techniques for solving first and second order linear and non-linear equations; and for solving the order linear equations. Finite differences and difference equations; interpolation, errors solutions of equation elementary numerical integrations.

HL 30, HP 0, U 4, CR 0, P – MAT 111 & MAT 121

MAT 242 VECTORIAL MECHANICS

Vector in Euclidean spaces. Vector products. Equations of lines and planes; elements of vector calculus. General kinematics; momentum, angular momentum energy conservation laws; dynamics of particles and of a rigid body.

HL 30, HP 0, U 4, CR 0, P – MAT 141

MAT 223 ANALYSIS

(for non-majors, will be counted with MAT 211 and MAT 222)

Real and complex numbers, convergence and divergence of sequences and series of complex numbers. Functions of real variable. Continuity and differentiability. Taylor’s theorem, extensions and applications. Riemnn integration. Functions of a complex varible. Billnear transformation.

HL 45, HP 0, U 4, CR 0, P 0

STA 202 STATISTICS FOR PHYSICAL SCIENCES AND ENGINEERING

Scope for statistical methods in physical sciences and engineering. Measures of location, partition and dispersion. Elements of probability. Probability distributions; binomial possion geometric, hyper geometric negative – binomial, normal estimation (point and interval) and tests of hypotheses concerning population means. Proportions and variances. Regression and correlation. Non-parametric test. Contingency table analysis, introduction to design of experiments analysis of variance

HL 60, HP 0, U 4, CR 0, P = 0

TME 314 FLUID MECHANICS II

Curved flow, free, force and combined vortices; secondary flow. Fluid friction, friction factor and its relation to pipe losses other than friction head loss, pipes in parallel and in series. Dimensional analysis and physical similarly. Fluid flow measurements.

HL 30; HP45; U 3, CR 0, TME 224

TME 315 STRENGTH OF MATERIALS II

Deflection of beams, Revision of methods of solution; shear stress distribution and deflection due to shear center. Unsymmetrical bending. Strain energy methods; Application to think members and indetermine structures. Helical and leaf springs, plastic bending of beams, Buckling.

HL45; HP 0; U 3, CR 0, P TME 225

TME 321 APPLIED THERMODYNAMICS

Ideal air cycles. Introduction of Internal Combustion Engines; Reciprocating air compressors and other positive displacement compressors. Gas and vapor power cycles, refrigeration cycles, vapour compression units, principles of absorption refrigeration. Testing of various heat engine plants.

HL 45; HP 45; U 4, CR 0, P TME 312

TEL 314 ELECTRICAL MACHINES I

Properties of magnetic materials. Energy conversion using magnetostatic forces. Couples circuits series and parallel coupled circuits. Transformer performance electric energy. Ideal transformer performance; equivalent circuits, efficiency, regulation, per-unit values. Auto-transformer, elements of transformer design. Transformer, elements of transformer design. Transformer in polyphase circuits. Basic principles of elector-mechanical energy conversion. Direct current machines. Armature windings, internal torgue, methods of excitation. Armature reaction. Characteristics of dc generators and motors. HL = 30, HP = 45, U = 3, CR 0; P = 0.

TIE 313 ENGINEERING ECONOMICS

Economics analysis of engineering projects; Value systems, economic decisions on capital investments and choice of engineering alternatives, new projects replacement and abandonment policies, risky decisions; Corporate financial practices. HL = 45, HP = 0, U = 3, CR = 0; P = STA 202

TIE 312 ENGINEERING MANAGEMENT

Project organization and objective definition. Task elements identification techniques and diagramming. Planning, scheduling and progress control, using CERT, PERT AND CPM techniques. Optimization and resources allocation models. Computer and manual methods.

HL = 30, HP = 0, U =2, CR = 0; P =0

MAT 341 MATHEMATICAL METHODS I

Linear dependence. Wrongskian; Reduction of order: Variation of parameters; series solution about ordinary and regular singular points. Special functions: Bessel, Legendre, Hyper-geometric, etc. Laplace transforms and application to initial value problems.

HL = 30, HP = 0, U = 3, CR = 0; P = MAT 241.

MAT 342 MATHEMATICAL METHODS II

Strum – Loville problem; Orthogonal polynomials and functions. Fourier series and integrals. Partial differential equations: First and second order equation: Classification of second order linear equations; solutions of the heat, wave and Laplace function expansions, and Fourier transforms.

HL = 45, HP = 0, U = 4, CR = MAT 341; P = MAT 241

MAT 343 VECTORS AND TENSORS

Revisions of elementary vector algebra; index notation, Differentiation of vectors. Gradient; Divergence theorem; Green’s theorem; Strokes’ theorem. Cartesian tensors, Transformation law; Gauss theorem; the Quotient rule.

HL = 45, HP = 0, U = 3, CR = 0; P = MAT 242

MAT 351 NUMERICAL ANALYSIS

Numerical differentiation and integration. Solution of ordinary differential equations. Direct and interactive methods of solution of linear systems. Least square polynational approximations. Introduction to numerical solution of partial differential equations.

HL = 30, HP = 45, U = 4, CR = 0; P = MAT 222 or MAT 223

TME 416 TECHNOLOGY POLICY & DEVELOPMENT

The energy policy and technology policy in Nigeria. Its role in national development. Development and Technology policy-technology acquisition, adaptation, imitation, copy technology, technology transfer. Bilateral, multilateral, unilateral, multinational, inter-governmental, NSO, technology agreements. Indigenous technology and national development. Sub-region and regional effects on technology policy; their-dependence.

HL 30; HP; U 2, CR 0, P 0

TME 521 ENGINEERING LAW

Common law: Its history, definition, nature and division Legislation codification interpretation. Equity: Definition and its main spheres. Law of contracts for Engineers: offer, acceptance, communication termination. General principles of criminal law. Law of torts: definition, classification and liabilities. Patents: requirements, application, and infringement. Registered designs: application, requirements, types and infringements. Company law. Labour law and Industrial law.

HL 30; HP 0; U 2, CR 0, P 0.

TIE 511 ENGINEERING MANAGEMENT

An introduction to the concept of management of the engineering function as found in various industrial and non-industrial settings. General management theory and the implication of individual and group behaviour for organizational effectiveness. Introduction to law of contracts, patents and copy-right as it affect engineers and industrial organization.