Topics: measurement, estimating, motion, kinematics, dynamics, friction, circular motion, drag forces, gravitation, Newton's synthesis, work, energy, conservation of energy, linear momentum, rotational motion, angular momentum, static equilibrium, elasticity, fracture, fluids, oscillators, wave motion, sound, temperature, thermal expansion, ideal gas law, kinetic theory of gases, thermodynamics, electric charge, electric field, Gauss law, electric potential, capacitance, dielectrics, electric energy storage, electric currents, resistance, DC circuits, magnetism, magnetic field sources, electromagnetic induction, inductance, electromagnetic oscillations, AC circuits, Maxwell's equations, electromagnetic waves, light, reflection, refraction, lenses, optical instruments, wave nature of light, diffraction, polarization, quantum theory, quantum mechanics, molecules, solids, nuclear physics, radioactivity, nuclear energy, elementary particles

Topics: vector, Equations of motion, motion, Newton’s Second Law, energy, power, force, Momentum, impulse, density, pressure, gas laws

Topics: Calculus, Analytic Geometry, real numbers, real line, coordinates, functions, shifting graphs, trignometric functions, rates of change, limits, continuity, tangent lines, derivative of a function, differentiation rules, rates of change, chain rule, derivatives, implicit differentiation, rational exponents, extreme values of functions, mean value theorem, first derivative test, optimization, linearization, differentials, Newton's method, integration, indefinite integrals, differential equations, initial value problems, mathematical modelling, Riemann sums, definite integrals, mean value theorem, fundamental theorem, numerical integration, cylindrical shells, application of integrals, work, fluid pressure, inverse functions, natural logarithms, transcendental functions, L'Hopital's rule, inverse trignometric functions, hyperbolic functions, first order differential equations, Euler's numerical method, Integration formulas, integration by parts, integral tables, infinite series, power series, Maclaurin series, Taylor series, conic sections

Topics: Classical mechanics, density, kinematics, vectors, dot product, projectile motion, newton's method, mass, force, statics, friction, circular motion, work energy, power

Topics: measurement, estimating, describing motion, kinematics, dynamics, Newton's laws of motion, gravitation, circular motion, work, energy, linear momentum, rotational motion, static equilibrium, elasticity, fracture, fluid, Oscillations, Waves, sound, temperature, kinetic theory, heat, laws of thermodynamics, electric charge, electric field, electric potential, electric currents, DC Circuits, magnetism, electromagnetic induction, Faraday's law, Electromagnetic waves, light, geometric optics, wave nature of light, optical instruments, Special Theory of Relativity, quantum theory, models of the atom, Quantum Mechanics of Atoms, molecules, solids, nuclear physics, radioactivity, nuclear energy, elementary particles, Astrophysics, Cosmology

Topics: measurement, estimating, describing motion, kinematics, dynamics, Newton's laws of motion, gravitation, circular motion, work, energy, linear momentum, rotational motion, static equilibrium, elasticity, fracture, fluid, Oscillations, Waves, sound, temperature, kinetic theory, heat, laws of thermodynamics, electric charge, electric field, electric potential, electric currents, DC Circuits, magnetism, electromagnetic induction, Faraday's law, Electromagnetic waves, light, geometric optics, wave nature of light, optical instruments, Special Theory of Relativity, quantum theory, models of the atom, Quantum Mechanics of Atoms, molecules, solids, nuclear physics, radioactivity, nuclear energy, elementary particles, Astrophysics, Cosmology

Topics: Displacement, Newton’s Laws of motion, circular motion, simple harmonic motion, forces, mass, acceleration, linear momentum, turning effects, wave optics, transverse stationary waves, progressive wave energy, measurement, instantaneous velocity, centripetal acceleration, centripetal force, centrifugal force, resonance, damped oscillations, force oscillations, gravitation, satellites, weightlessness, Kepler's law, force, weight, resolution of forces, moment of forces, couple, hydrostatics, fluid, pressure, density, elasticity, Young's modulus, bulk moduli, sheer moduli, sliding friction, viscosity, laminar flow, turbulent flow, surface tension, capillarity

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: Lagrange Interpolating Polynomial, Newton’s Interpolating Polynomials, Interpolation

Topics: Linear programming, simplex method, linear programs, Duality, Complementarity, interior-point methods, conic linear programming, unconstrained problems, concave functions, convex functions, speed of convergence, quasi-newton methods, constrained minimization, penalty method, barrier method, duality method, dual method, primal-dual method