Topics: ideal gas model, ideal gas, mechanical energy, work, heat transfer, power cycles, refrigeration, heat pump cycles

Topics: motion, speed, displacement, velocity, acceleration, free fall, projectile motion, vector, vector representation, vector addition, vector multiplication, Newton's law, weight, work, energy, power, mechanical energy, machine, linear momentum, angular velocity, circular motion, oscillation, rotational dynamics, compound pendulum, static equilibrium, hydrodynamics, temperature, thermometers, temperature scale, Gas laws, thermal expansion, linear expansion, heat capacity, latent heat, thermal conduction, thermal conductivity, thermodynamics, heat transfer

Topics: measurement, scalars, vectors, motion, equilibrium of forces, work, energy, power, simple machines, elasticity, hydrostatics, temperature, thermal expansion, heat, vapours, molecular theory, heat transfer, waves, sound, reflecton, refraction, light, electrostatics, current electricity, magnetism, electromagnetism, electrochemical effects, alternating currents, atomic physics, Lamlad, SSCE, UTME

Topics: sets, roster form, set builder notation, set equality, null set, subsets, comparability. theorem, universal set, power set, disjoint sets, Venn-Euler diagrams, set operations, complement, comparable sets operation, principle of duality, finite sets, cardinality, inclusion-exclusion principle

Topics: Electricity, magnetism, Electromagnetic interaction, electrostatic force, electric charge, Coulomb’s law, Electric potential, potential difference, electron volt, electric dipole, dipole moment, electric flux, Gauss Theorem, capacitors, dielectrics, current electricity, electric current, Ohm’s Law, Electrical Resistance, Resistivity, Electrical Conductivity, Ohmic Conductors, Superconductors, Electric Cell, resistor combination, Electric energy, electric power, wattmeter, electrolysis

Topics: circuit analysis, circuit elements, Network theorems, two-port networks, semiconductor diodes, Zener diodes, Bipolar junction transistors, JFET spice model, JFET bias line, JFET load line, MOSFET construction, transistor bias, small-signal midfrequency, BJT amplifiers, amplifier analysis, Bode plots, frequency response, High frequency FET models, Miller capacitance, operational amplifiers, switched mode power supplies, Buck converter, boost converter, inverting amplifier, noninverting amplifier

Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Topics: Force, Parallelogram Law, Lami’ s theorem, Polygon of forces, Moment of force, couple, friction, work, energy, power, kinetic energy, potential energy, conservation of energy, simple harmonic motion

Topics: Circuit Theorem, Operational Amplifier, Nodal Analysis, Mesh Analysis, Capacitors, Inductors, First-Order Circuits, Sinusoidal Steady-State Analysis, Second-Order Circuits, AC Power Analysis, Three-Phase Circuits, Magnetically Coupled Circuits, Laplace Transform, Frequency Response, Fourier Series, Two-Port Network

Topics: Algebra, partial fraction, logarithm, exponential function, inequality, arithmetic progression, geometric progression, binomial series, Maclaurin's series, iterative method, binary, octal, hexadecimal, boolean algebra, logic circuits, trigonometry, circle, Trigonometric waveforms, hyperbolic functions, Trigonometric identities, Trigonometric equation, compound angles, irregular area, irregular volume, graph, complex numbers, De Moivre’s theorem, matrix, determinant, vector geometry, vector, scalar product, vector product, differentiation, calculus, integration, differential equation, parametric equations, implicit functions, Logarithmic differentiation, hyperbolic functions, Partial differentiation, Total differential, rate of change, Maxima, minima, saddle point, integral calculus, hyperbolic substitution, trignometric substitution, Integration by parts, Reduction formulae, double integrals, triple integrals, Numerical integration, Homogeneous first-order differential equation, first-order differential equation, differential calculus, Linear first-order differential equation, Numerical methods, power series, Statistics, probability, Mean, median, mode, standard deviation, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Significance testing, Chi-square test, distribution-free test, Laplace transform, Inverse Laplace transform, Heaviside function, Fourier series, periodic functions, non-periodic function, even function, odd function, half-range fourier series, harmonic analysis, Z-Transform