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: Structural elements design, Structural Analysis Techniques, Shear Force, Bending moment, Shear force diagram, Bending moment diagram, Deflection of Beams, Elastic Shear stress distribution, Elastic Bending stress distribution, Transformed sections, Moment distribution, Bending stiffness, Rotational Stiffness, Carry-over moment, Pinned End, Free Moments, Fixed bending moments, Distribution Factors, Design Philosophies, Permissible stress Design, Load Factor Design, Limit State Design, Design codes, Eurocodes, National Annex, Structural Loading, Dead loads, Imposed loads, Imposed roof loads, Floor load distribution, Load distribution, Structural Instability, Overall Stability, Robustness, Reinforced concrete Element's Design, Structural Steelwork Elements' Design, Structural Timber Elements' Design.

Topics: strength Of Materials, Simple stress, simple strain, Elastic materials, Hooke's law, Modulus of elasticity, Young's modulus, Brittle materials, Poisson's ratio, Shear stress, Modulus of rigidity, Double shear, Temperature stresses, Compound bar, Cantilever beams, Simple beams, Shear force, bending moment, Shear force diagram, bending moment diagram, Torsion, Crystalline structure, Metals crystalline structure, Atomic bonding, crystal structure, Body-centered cubic structure, Face-centered cubic structure, Hexagonal close-packed structure, grain structure, grain boundary, polymorphism, Slope of beams, deflection of beams, Fatigue, creep, Fracture, Creep test, Fracture mechanics, Linear fracture mechanics, Griffith's fracture criterion

Topics: Strength of materials, stress, strain, Poisson's ratio, thermal expansion, shear stress, thermal stress, pressure vessels, stress concetrations, Thin-Walled Pressure Vessels, Bolted Welded Joints, Welded Joints, centroid, centroidal area, Radius of Gyration, Beam Reactions, Shear Diagrams, Moment Diagrams, Beam Deflection, beam design, Combined Stresses, Eccentric Loading, Buckling of Columns, columns, steel machine parts, Mohr's Circle

Topics: Materials Design, Atomic Structure, Atomic Bonding, interatomic spacing, amorphous materials, lattice, basis, unit cells, crystal structure, Allotropic Transformation, Polymorphic Transformation, Crystal Structures, unit cell, Covalent Structures, diffusion, Fick’s Law, Mechanical Properties, Tensile Test, stress, strain, Nanoindentation, Fracture Mechanics, Fatigue, Fatigue Test, creep, rupture, stress corrosion, Strain Hardening, Annealing, Hot Working, Nucleation, cooling curves, cast structure, casting, Directional Solidification, Single Crystal Growth, Epitaxial Growth, Phase Diagram, Phase Equilibrium, Dispersion Strengthening, Eutectic Phase Diagrams, Eutectoid Reaction, Martensitic Reaction, Tempering, Nonferrous Alloys, Glass-Ceramics, Polymers, Polymerization, Thermoplastics, elastomers, rubbers, adhesives, Composites, Particulate Composites, Fiber-Reinforced Composites, plywood, concrete, asphalt, Electronic Materials, semiconductors, insulators, Electrostriction, Piezoelectricity, Ferroelectricity, Magnetic Materials, Magnetization

Topics: Materials Design, Atomic Structure, Atomic Bonding, interatomic spacing, amorphous materials, lattice, basis, unit cells, crystal structure, Allotropic Transformation, Polymorphic Transformation, Crystal Structures, unit cell, Covalent Structures, diffusion, Fick’s Law, Mechanical Properties, Tensile Test, stress, strain, Nanoindentation, Fracture Mechanics, Fatigue, Fatigue Test, creep, rupture, stress corrosion, Strain Hardening, Annealing, Hot Working, Nucleation, cooling curves, cast structure, casting, Directional Solidification, Single Crystal Growth, Epitaxial Growth, Phase Diagram, Phase Equilibrium, Dispersion Strengthening, Eutectic Phase Diagrams, Eutectoid Reaction, Martensitic Reaction, Tempering, Nonferrous Alloys, Glass-Ceramics, Polymers, Polymerization, Thermoplastics, elastomers, rubbers, adhesives, Composites, Particulate Composites, Fiber-Reinforced Composites, plywood, concrete, asphalt, Electronic Materials, semiconductors, insulators, Electrostriction, Piezoelectricity, Ferroelectricity, Magnetic Materials, Magnetization

Topics: Magnetism, Electromechanical energy conversion, Magnetic Flux, Magnetic Circuit, Hysteresis loses, Transformers, transformer phasor diagram, induced EMF analysis, Induction Motor, Synchronous Machine, Measurement of three Phasor power, DC generator

Topics: Simple stress, simple strain, Shear stress, Saint-Venant's principle, Stress, strain, Modulus of elasticity, Modulus of Rigidity, Bar elongation, Superposition principle, Tapering section Bars, Elongation due to self-weight, Uniform strength column, Statically indeterminate systems, Temperature stresses, Shrinking on, Strain analysis, Tensile test diagram, Elastic constants, Three-Dimensional stress systems, Compound stress, compound stress, Principal stresses, Maximum shear stresses, Mohr's Stress cycle, Three coplanar stress, Ellipse of Stress, Strain Analysis, Principal Strain, Principal shear strain, Mohr's Strain cycle, Strain Energy, Shear force, Bending moment, Supports types, Bending stress in beams, Simple bending theory, Moment of inertia, Flitched beams, composite beams, Unsymmetrical bending, Ellipse of inertia, Shear stress in beams, Shear stress variation, Built-up beams, Shear centre, Deflection, Beam differential equation, Deflection at a point, Macaulay's method, Moment-Area method, Strain energy due to bending, Castigliano's First theorem, Deflection by castigliano's Theorem, Impact loading on beams, conjugate beam method, Betti's reciprocal deflections theorem, Maxwell's Reciprocal Deflection theorem, Fixed beams, Continuous beams, Fixidity Effects, Clapeyron's three moment equation, Torsion, Springs, Columns, Struts, Failure Theories, Plastic bending, Plane frame structures, Materials properties, Materials testing, Tensile testing, Compression testing, Torsion testing, Hardness testing, Impact testing, Fatigue testing

Topics: Engineering Economic Analysis, economic decisions making, estimating engineering costs, interest, present worth analysis, annual cash flow analysis, rate of return analysis, depreciation, income tax, economic life, replacement analysis, inflation, price change, accounting, engineering economy, Decision-Making Process, costs, estimating models, cash flow diagrams, time value of money, equivalence, arithmetic gradient, annuity due, incremental analysis, future worth analysis, breakeven analysis, probability, Joint Probability Distributions, Economic Decision Trees, risk, Investment Tax Credit

Topics: complex numbers, Argand Diagram