Topics: Thermodynamics, energy, energy transfer, energy analysis, closed systems, mass analysis, second law of thermodynamics, entropy, exergy, gas power cycles, refrigeration cycles, thermodynamic properties relations, gas mixtures, gas-vapor mixtures, air-conditioning, chemical reactions, chemical equilibrium, phase equilibrium, compressible flow, renewable energy

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: Number, algebra, area, volume, trignometry, graph, complex number, vector, statistics, differential calculus, integral calculus, differential equation, irregular area, Trigonometric waveforms, Cartesian co-ordinates, polar co-ordinates, compund angles, straight line graphs, De Moivre’s theorem, mean, median, mode, standard deviation, probability, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Maclaurin’s series, implicit functions, Logarithmic differentiation, Standard integration, Integration by parts, partial fraction, Numerical integration, Mean square value, root mean square value, centroid

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

Topics: Petroleum Geology, Basic Rock Properties, Petroleum Exploration Methods, General Leasing Practices, Cable Tool Drilling, rotary drilling, rotary drilling fluids, Rotary Drilling Hydraulics, penetrarion rate, Rotary Drilling Techniques, core, core analysis, well logging, formation damage, drill stem testing, oil well cementing, casing practices, well completion

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Electricity, charge, DC Circuits, Network terminology, electrical networks, energy source, Ohm's law, short circuit, open circuit, source transformation, Kirchhoff's law, Cramer's rule, star and delta connection, superposition theorem, Thevenin's theorem, Norton's theorem, maximium power transfer theorem, loop current, magnetic circuit, magnetic flux, pole strength, permeability, magnetomotive force, magnetic circuits, electromagnetic induction, electrostatics, electric flux, capacitor, AC waveform, phasor, impedance, capacitance reactance, complex power, star delta, transformer, magnetic losses, autotranformer, three phase, polyphase AC circuit

Topics: space, time, kinematics, scalar, vectors, vector operations, speed, velocity, acceleration, rectilinear motion, circular motion, dynamics, inertia mass, weight, force friction, incline plane, linear momentum, statics, work, enrgy, gravitation, weightlessness, Kepler's law, rotational dynamics, angular momentum, oscillatory motion, simple harmonic motion, damped oscillation, forced oscillation