Topics: numbers, arithmetic, ratio, propotions, averages, indices, logarithms, surds, sets, venn diagrams, algebraic expressions, quadratic equations, simultaenous equations, graphs, rational expressions, inequalities, sequence, series, lines, triangles, polygons, circles, trigonometry, mensuration, bearings, latitude, longitude, constructin, loci, statistics, probability, Lamlad, SSCE, UTME

Topics: Project evaluation, capital investments, capital budgeting, decision making, project analysis, strategy, resource allocation, portfolio strategy, business level strategies, strategic planning capital budgeting, corporate appraisal, market surveyor, demand analysis, marketing plan, technical analysis, product mix, plant capacity, financial estimates, cost of production, profitability projections, projected cash flow statement, projected balance sheet, multi-year projections, time value of money, investment criteria, Net present value, benefit cost ratio, profitability index, payback period, project cash flows, cash flow illustrations, cost of capital, cost of debt, cost of equity, weighted average cost of capital, weighted marginal cost of capital, flotation cost, project risk analysis, sensitivity analysis, scenario analysis, break-even analysis, Hiller model, simulation analysis, decision tree analysis, managing risk, portfolio theory, capital budgeting, optimal timing, inflation, social cost benefit analysis, income distribution impact, linear programming model, integer linear programming model, goal programming model, managerial intuition, managerial judgement, reverse financial engineering, group process, capital structure, equity capital preference capital, debentures, term loans, project financing structure, financial closure, financial institutions, venture capital, private equity, infrastructure projects, public-private partnership, corporate governance, project management, project planning, project control project risk, time estimation, PERT Model, CPM Model, network cost system, project review, abandonment analysis, agency problem

Topics: Direct Normal stress, stress, strain, Direct shear stress, Screw Threads, Experimental stress analysis, Computational stress analysis, Fundamental of statics, Materials design properties, Properties of steel, Properties of Cast Iron, Properties of Aluminum, Wood, Concrete, Plastics, Composites, Direct stress, Deformation, Computing design stress, Thermal stress, Bearing stress, Design bearing stress, Twisting, Elastic Torsional Deformation, Torsion, Beam loading, Beams supports, Beam types, Supports reactions, Centroids, Complex shapes centroid, Radius of Gyration, section modulus, Flexure formula, General shear formula, Special shear formulas, Shear flow, Beams deflection, combined stress, Columns, Slenderness Ratio, Buckling formula, Pressure vessels, Bolted connections design, Rivet joints, Eccentrically loaded riveted joints, Eccentrically loaded Bolted joints

Topics: Real Numbers, Real Line, absolute value, indices, surds, Rationalization, logarithm, matices, matrix algebra, e Moivre’s theorem, complex numbers, Conjugate complex number, Argand Diagram, Roots of Complex Numbers, Roots of Unity, set theory, Binary Operations

Topics: algebra, numbers, fractions, inequalities, cartesian plane, vector algebra, linear equations, trigonometry, trigonometric rations, trigonometric graphs, Pythagorean Identities, functions, Exponential Functions, Absolute Value Function, rational functions, root functions, Piecewise Defined Functions, limits, continuity, Horizontal Asymptotes, differential calculus, Derivative Functions, Tangent Line Problems, chain rule, Euclidean Geometry, Spherical Trigonometry

Topics: Set theory, Venn-euler diagram, Set Operations, Algebra of Sets, venn diagram, surds, rationalization of surds, indices, logarithm, set theory

Topics: Set theory, real numbers, comples numbers, rational function, partial fractions, binomial expansion, sequence, series, matrix, trignonometry, differentiation, integration

Topics: von neuman, data, information, information processing, generations of computer, classifications of computer, number system, computer language, database, communication system, transmission impairment, analog signal, digital signal, Signal Modulation, Signal to Noise Ratio, data encoding, data decoding, transmission media, communication technique, computer network, internet

Topics: Scope of Statistics, statistical data, data types, scale of measurements, data collection, survey sampling techniques, Data presentation, Bar Charts, Histogram, polygons, graphs, Errors, approximation, Frequency, relative frequency, cumulative frequency distributions, Measure of location, Measure of dispersion, Skewness, Kurtosis, Rates, Ratios, index numbers, weight quantity, Rates, Ratio, index numbers

Topics: real number system, order relation, natural numbers, countable sets, uncountable sets, bounded sets, limits, Monotone Sequences, Sandwich Theorem, limit theorems, Bolzano-Weierstrass Theorem, Limit Superior, Limit Inferior, Cauchy Sequences, continuity, topological notions, One-sided Continuity, Continuity Theorems, Uniform Continuity, Uniform Continuity Theorems, closed sets, compact sets, continuous maps, differentiability, derivative, Rolle’s Theorem, Mean Value Theorem, L’Hospital’s Rule, Nonnegative Real Numbers series, Integral Test, Comparison Test, Limit Comparison Test, Cauchy’s Root Test, D’Alembert’s Ratio Test, Alternating Series, Absolute Convergence, Conditional Convergence, Riemann Integral, Integration, Uniform convergence, Power Series, Equicontinuity, Arzela-Ascoli Theorem