Topics: Electric Charge, Insulators, Conductors, Semiconductors, Charging by Induction, Coulomb’s Law, Coulomb’s Law Equation, Electric Field, Continuous Charge Distribution, Electric Field Lines, electric potential, Capacitors, Dielectric, capacitance, current, resistance, Ohm's law, resistivity, conductivity, electrical power, Kirchhoff rule, Electrical instrument, Ammeter, voltmeter, galvanometer, Wheatstone bridge, potentiometer

Topics: Mechatronics, control systems, microcontroller, electronic devices, semiconductor, diode, transistor, digital electronics, sensors, transducers, strain gauges, load cells, proximity sensors, light sensors, digital optical encoder, signal conditioning, amplification, amplifier, optical amplifier, data acquisition, analog-to-digital converter, digital-to-analog converter, digital signal transmission, microprocessors, microprocessor systems, Intel 8085 microprocessor, system models, mechanical system building blocks, electrical system building blocks, fluid system building blocks, thermal system building blocks, controllers, PID controllers, digital controllers, adaptive control system, programmable logic controllers, actuators, mechanical actuators, electrical actuators, DC motors, single phase motors, three phase induction motors, synchronous motors, hydraulic actuators, pumps, pressure regulator, hydraulic valves, linear actuators, rotary actuators, pneumatic actuators, mechatronic systems, embedded systems, CNC machines, CAD, CAM, Machine structure, drives, spindle, spindle bearings, swarf removal

Topics: real analysis, sets, functions, mathematical induction, finite sets, infinite sets, real numbers, absolute value, real line, intervals, sequences, series, limit theorems, monotone sequences, Cauchy criterion, limits, limit theorems, continuous functions, uniform continuity, inverse function, monotone functions, derivative, mean value theorem, L' Hospital rule, Taylor's theorem, Riemann integral, Riemann integral functions, fundamental theorem, Darboux integral, approximate integrations, pointwise convergence, uniform convergence, exponential functions, logarithmic function, trigonometric functions, infinite series, absolute convergence, infinite integrals, convergence theorems, continuous functions, metric spaces

Topics: computer science, logic, sets, loops, recursion, Program Correctness, Loop invariant, Hoare’s Axiom, Discrete Probability, Randomized Algorithms, lists, graphs, Cryptography, Mathematical induction

Topics: Algebra, Polynomials, Polynomial Equations, Inequalities, Rational Functions, Curve Sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, complex numbers, matrix, linear equations, determinants, Cramer's rule, sets

Topics: Abstract Algebra, Binary Operations, sets, logic, Switching Algebras, Orders, Lattice, Boolean Algebra, Mapping, Groups, Homomorphism, Rings, Fields, Mathematical Induction, Divisibility, Euclid’s Algorithm, Congruence, Polynomials, Remainder Theorem, factor theorem, Rational Functions

Topics: Discrete mathematics, logic, sets, functions, sequences, matrices, algorithms, Number theory, cryptography, induction, recursion, counting, discrete probability, advanced counting techniques, counting techniques, Linear Recurrence Relations, modelling computation, Finite-State Machines, relations, graphs, trees, boolean algebra, modelling computation, Boolean Functions, Logic Gates, Minimization of Circuits.Tree Traversal, Spanning Trees, Minimum Spanning Trees, Graph Models, Graph Terminology, Graph Isomorphism, Connectivity, Euler path, Hamilton Path, Shortest-Path Problems, Planar Graphs, Graph Coloring, Representing Relations, Equivalence Relations, Probability Theory, Bayes Theorem, variance, Pigeonhole Principle, permutation combination, binomial coefficient, Recursive Algorithms, Program Correctness, Divisibility, Modular Arithmetic, Integer Representations, Set Operations, Cardinality of Sets

Topics: Logic, analyzing arguments, informal logic, language, fallacies, classical logic, Categorical Propositions, Categorical Syllogisms, Syllogisms, modern logic, symbolic logic, deduction, Quantification Theory, induction, analogy, causation, causal reasoning, science, probability

Topics: Polynomials, rational functions, linear equations, simultaenous equation, quadratic equations, remainder theorem, factor theorem, inequalities, domain range, partial fractions, curve sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, telescoping series, limits, sums to infinity, complex numbers, Aragand diagram, De Moivre's theorem, matrices, determinants, rank of a matrix, Cramer's rule, sets, vennn diagram, binary operations, real number systems

Topics: Epistemology, perception, perceptual justification, perceptual knowledge, Phenomenalism, memory, remembering, Consciousness, testimony, Knowledge, justification, truth, Scientific knowledge, moral knowledge, religious knowledge, Skepticism, Deducibility, evidential transmission, induction