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: One-Variable Calculus, Calculus, Exponents and Logarithms, Linear Algebra, Linear Equations, Matrix Algebra, Determinants, Euclidean Spaces, Linear Independence, Limits, Open Sets, Several Variables, Implicit Functions, Quadratic Forms, Definite Matrices, Unconstrained Optimization, Constrained Optimization, Homogeneous functions, Homothetic Functions, Concave Functions, Quasiconcave Functions, Eigenvalues, Eigenvectors, Ordinary Differential Equations, ODE, O.D.E, Subspaces, Matrix, Limits, Compact Sets, Sets, Numbers, Proofs, Trigonometric Functions, Complex Numbers, Integral Calculus, Probability

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Topics: Electrical engineering, Electric Circuit, resistance, resistivity, series, parallel networks, potential divider, capacitors, inductors, electrostatic field, electric field strength, capacitance, capacitors, electric flux density, permittivity, dielectric strength, inductance, DC circuit theory, Kirchhoff's law, Thevenin's theorem, Norton’s Theorem, Maximum Power Transfer Theorem, alternating voltages, alternating currents, rectification, complex numbers, transient, Laplace Transforms, digital electronics, semiconductors, semiconductor diodes, bipolar junction transistor, Metal-oxide Semiconductor Field-effect Transistors, Gallium Arsenide Semiconductors, Light-emitting Diodes, Analog Electronics, Operational Amplifier, circuit simulation, interfacing, Microcontrollers, Microprocessors, Power Electronics, signals, signal processing, filter design, bandpass filter, notch filter, Switched Capacitor Filter, Monolithic Switched Capacitor Filter, Communications Systems, Analog Modulation Techniques, Digital Modulation Techniques, electromagnetics, Electromagnetic Spectrum, Microwave Techniques, magnetic fields, Electromagnetic Transients, Electromagnetic Interference, Traveling Wave Effects, transformers, Electromagnetic Compatibility

Topics: Mathematics, quadratic equations, indices, logarithms, remainder theorem, undetermined coefficients, partial fractions, arithmetic progression, geometrical progression permutations, combinations, binomial theorem, trigonometric ratio, addition theorem, sine formula, cosine formula, tangent formula, differential calculus, differentiation, logarithmic functions, exponential functions, coordinates, coordinate geometry, parabola, ellipse, hyperbola, complex numbers, matrices

Topics: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

Topics: English Language, verbs, nouns, pronouns, adjectives, adverbs, semantics, simple sentence, complex sentence, noun phrase

Topics: sociology, Microsociology, Macrosociology, culture, culture lag, Ethnocentrism, Xenocentrism, Temporocentrism, Cultural Relativism, Cultural Complexity, cultural Diversity, social structure

Topics: Electrical Machines, electromagnetism, Faraday's law, Lenz's law, magnetic circuits, magnetomotive force, magnetic field intensity, magnetic flux, single-phase circuits, power triangle, complex power, transformers, transformer oil, Buchholz relay, transformer tank, magnetic leakage, equivalent reactance, sumpner's test, pulse transformer, welding transformer, Three-phase transformers, rotating machines, electromagnetic torque, reluctance torque, DC generators, DC motors, voltage equation, Back EMF, Electric braking, synchronous generators, voltage regulation, Two reaction theory, synchronous motors, polyphase induction motor, single phase motor

Topics: Clinical Immunology, immune system, innate immune responses, adaptive immune responses, Phagocytosis, natural killer cells, Eosinophils, antigen presenting cell, antigen presenting molecules, Monoclonal Antibodies, clinical trials, Xenotransplantation, cytokines, Cells of Adaptive Immunity, B-lymphocyte Antigen-specific Receptor, B-cell Differentiation, T-lymphocyte Antigen-specific Receptor, bone marrow, Antigen Dependent B-cell Differentiation, T Lymphocytes, inflammation, Vasodilatation, Increased Vascular Permeability, Edema, host defense, immunization, passive immunization, vaccines, vaccine technology, Hypersensitivity Reactions, Immediate Hypersensitivity Reactions, Antibody-mediated Hypersensitivity Reactions, Immune-complex Mediated Hypersensitivity, Cell-mediated Hypersensitivity, autoimmunity, Immunotherapy, Autoimmune Disorders, autoreactive antibodies, Immunodeficiency Disorders, Tumor Immunology, tumor antigens, Tumor Immunosurveillance, transplantation, Graft Rejection