Topics: fundamental quantities, derived quantities, dimension, scalars, vectors, vector representation, unit vectors, vector multiplication, kinematics, displacement, speed, velocity, acceleration, freely falling bodies, projectile motion, horizontal projectile motion, Newton's laws of motion, elastic collision, inelastic collision, friction, circular motion, gravitation, angular speed, angular acceleration, conical pendulum, Banking, free-fall acceleration, gravitational potential energy, satellite motion, velocity escape, Kepler's law, work, energy, power, energy conversion, Kinetic energy, conservative forces, vector moment, mechanical equilibrium, rigid bodies rotation, moment of Inertia, Parallel Axis theorem, Hooke's law, stress, strain, density, fluid mechanics, fluid pressure, Pascal's Principle, Buoyancy principle, Archimedes Principle. fluid dynamics, Bernoulli principle, surface tension, Poiseuille's law, capillarity, Stoke's law, thermal physics, temperature scales, thermometers, Zeroth law of thermodynamics, thermal expansion, thermal stress, heat quantity, Latent heat, heat transfer, conduction, convection, radiation, Gas laws, Kinetic theory of gases, Thermodynamic processes, Adiabatic processes, Isobaric processes, Isochoric processes, Thermal efficiency, Carnot cycle, Refrigerator, Entropy

Topics: motion, speed, displacement, velocity, acceleration, free fall, projectile motion, vector, vector representation, vector addition, vector multiplication, Newton's law, weight, work, energy, power, mechanical energy, machine, linear momentum, angular velocity, circular motion, oscillation, rotational dynamics, compound pendulum, static equilibrium, hydrodynamics, temperature, thermometers, temperature scale, Gas laws, thermal expansion, linear expansion, heat capacity, latent heat, thermal conduction, thermal conductivity, thermodynamics, heat transfer

Topics: equilibrium, energy, conservation, temperature, Energy process, modes of heat transfer, conduction heat transfer, convection heat transfer.freezing, evaporation, radiative heat transfer, mass transfer, equilibrium, mass conservation, kinetics, Fick's law, diffusion mass transfer, convection mass transfer, thermodynamics, Biological Heat transfer, Biological mass transfer, bioenvironmental heat transfer, bioenvironmental mass transfer

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