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: Structural Mechanics, Elasticity, Elasticity theory, Stress, Displacements, strains, Plane stress, Stress function solution, Finite element method, Triangular element theory, concrete cube analysis, Finite element types, Eight-nodded isoperimetric element, Assessment of solution accuracy, Plain strain, Torsion, Torsion behavior, Solid sections, Circular sections, Non-circular sections, Finite difference solutions, solution comparison methods, solid sections properties, Thin-walled sections, singly closed sections, open sections, Plates, slabs, Beam analogy, Grid analogy, Poisson's ratio effect, Elastic plate theory, Moments, curvatures, Equilibrium, General elastic plate equation, Boundary conditions, Thin shells, Axisymmetric shells Membrane theory, Circular cylindrical shells bending, Structural dynamics, Vibration Types, Free, undamped vibration, Free, damped vibration, Forced, damped vibration, Beams Analysis

Topics: Mechanics of point mass, moving coordinate system, special relativity, systems of point masses, collisions, dynamics of rigid bodies, rigid body, real solid, liquid bodies, static liquids, gases, kinetic gas theory, fluid dynamics, Euler equation, continuity equation, Bernoulli equation, vacuum physics, laminar flow, navier-strokes equation, aerodynamics, reynold's number, thermodynamics, heat transport, mechanical oscillations, mechanical waves, forced oscillations, superposition of waves, standing waves, nonlinear dynamics, acoustics, nonlinear chaos, vector algebra, vector analysis, coordinate systems, complex numbers

Topics: Kinematics, Vectors, Newton's law of motion, coordinate systems, projectile motion, uniform circular motion, relative velocity, friction, work energy, kinetic energy, work-energy theorem, potential energy, mechanical energy, impulse, momentim, collisions, torque, angular momentum, rotational motion, rolling equilibrium, static equilibrium, central force motion, law of gravity, conic sections, Kepler's laws, circular orbits, eliptical orbits, escape speed, Oscillatory motion, free vibrations, free undamped vibrations, damped free vibrations

Topics: Centripetal Acceleration, Circular Motion, Centripetal Force, Moment of Inertia, Centrifugal force, simple harmonic motion, Damped Oscillation, Forced Oscillation, Resonance

Topics: Experimental physics, Acceleration due to gravity, free oscillation, damped mechanical system, forced oscillation, simple harmonic motion, stoke's method, Young's modulus

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

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

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: 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