Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

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: 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: Ohm's Law, resistors, Voltage divider rule, Current divider rule, Kirchhoff’s Law, circuit laws, circuit theorem, Network Theorems, Superposition theorem, Thevenin’s Theorem, Norton’s Theorem

Topics: electrical networks circuit analysis, Nodal analysis, mesh analysis, Superposition Theorem, Thevenin’s theorem, Norton’s theorem

Topics: earth structure, lithosphere, mantle, core, specific gravity, Earth's magnetic field, plate tectonics, continental drift, continental margin, geologic time, historical geology, stratigraphy, relative time, absolute time, radiometric time scale, geologic time scale, palentology, Minerals, rocks, weathering, erosion, deposition, Marine erosion, Marine deposition, depositional basin, Lacustrine environment, Desert environment, Glacial Environment, subsurface water, Diagenesis, structural geology, petroleum traps, petroleum, reservoir, recovery techniques, exploration techniques, igneous rock, sedimentary rock, metamoprphic rock, rock cycle, mechanical weathering, chemica weathering, weathering products, downslope movement, floodplain deposits, delta deposits, stream deposits, Marine depth zones, Marine currents, wave types, wave refraction, erosional features, marine shoreline, marine deposition, Basin, Lake basin, lacustrine deposition, lacustrine deposits, desert erosion, desert deposition, desert deposits, Glacier, glacial deposition, glacial deposits, groundwater classification, aquifer, water table, water well, ground water processes, groundwater products, lithification, induration, diagenesis, fracturing, stress, strain, faults, folds, strike, dip, superposition, decriptive geometry, stereographic projection, hydrocarbon traps, structural traps, stratigraphic traps, combination traps, unconformity traps, crude oil, natural gas, reservoir performane, reservoir pressure, resevoir loss, reservoir destruction, reservoir rocks, clastic reservoirs, carbonate reservoirs, seals, pressure-data, geometry, fluid content, Rock sampling, fluid flow, porosity, permeability, reservoir properties, surface geology, surface data, surface geology, drilling operations, well cuttings, cores, electric logging, radioactivity logging, acousting logging, sonic logging, spontaenous potential logs, self potential logs, resistivity logs, induction logs, dual induction-focused logs, electrode logs, radioactivity logs, acoustic logs, drill stem tests, geophysical surveys, geochemical surveys, maps, cross-sections

Topics: control system, superposition principle, transfer function, control system stability, routh's statbility criterion, routh array

Topics: wave propagation, Optics, Modern Physics, Wave Speed, Superposition of waves, Particle velocite, particle acceleration, Standing Wave, vibration, resonance, Decibel Scale, sound wave, vibration, beat, Huygen's Principle, Interference, Polarization, Doppler Effect, Bow waves, Image formation, reflection, lateral inversion, mirror, refraction, refractive index, Apparent Depth, lens, eye

Topics: Modern physics, physics, measurement, motion, vectors, laws of motion, motion, circular motion, Energy of a System, energy, Linear Momentum, Collisions, rotation of rigid bodies, Angular Momentum, Static Equilibrium, Elasticity, Universal Gravitation, Fluid Mechanics, Oscillations, Mechanical Waves, Oscillatory Motion, wave motion, Superposition, Standing Waves, thermodynamics, temperature, Law of Thermodynamics, kinetic theory of gases, heat engines, entropy, electricity, magnetism, electric fields, Continuous Charge Distributions, Gauss’s Law, electric potential, Capacitance, Dielectrics, current, resistance, Direct-Current Circuits, magnetic fields, Faraday’s Law, inductance, Alternating-Current Circuits, electromagnetic waves, light, optics, image formation, wave optics, Diffraction Patterns, Polarization, Quantum Physics, relativity, Quantum Mechanics, atomic physics, Molecules, Solids, Nuclear Physics, Particle Physics, Cosmology