Topics: Dynamics, Newtonian mechanics, kinematics, rectangular coordinates, curvilinear motion, Force-Mass-Acceleration Method, work-energy, impulse-momentum, power, efficiency, impulse, momentum, plastic impact, impulsive motion, elastic impact, mass flow, planar angular motion, equations of motion, planar kinetics, impulse-momentum methods, vibrations, rigid-body vibration, forced vibrations

Topics: statics, Newtonian mechanics, force systems, force, couples, coplanar force systems, coplanar equilibrium analysis, equilibrium, Three-dimensional equilibrium, free-body diagrams, independent equilibrium equations, beams, cables, dry friction, ropes, flat belt, disk friction, rolling resistance, centroids, distributed loads, moments, Mohr's circle, virtual work, potential energy, virtual displacements

Topics: trigonometry, trigonometric ratios, trigonometric identities, trigonometric equations

Topics: statics, Newtonian mechanics, force systems, force, couples, coplanar force systems, coplanar equilibrium analysis, equilibrium, Three-dimensional equilibrium, free-body diagrams, independent equilibrium equations, beams, cables, dry friction, ropes, flat belt, disk friction, rolling resistance, centroids, distributed loads, moments, Mohr's circle, virtual work, potential energy, virtual displacements

Topics: Econometrics, matrix algebra, probability, random variables, probability distributions, normal probability distribution, classical statistical inference, interval estimation, simple regression, least squares method, stochastic regressors, regression fallacy, multiple regression, heteroskedasticity, autocorrelation, Durbin-Watson test, multicollinearity, dropping variables, dummy variable, truncated variables, simultaneous equations models, diagnostic checking, model selection, specification testing, time-series analysis, vector autoregressions, unit roots, cointegration, unit root

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: Vectors, Position Vectors, Displacement Vectors, velocity vector, acceleration vector, Newton's First Law of Motion, Newton's Second Law of Motion, Newton's Third Law of Motion, Projectile motion, Deal Projectile Equations, motion

Topics: Logarithms, logarithm properties, change of base formula, Equations involving Logarithms

Topics: atomic theory, atoms, Joseph John Thomson atomic model, cathode ray tube, Plum-pudding model, electromagnetic spectrum, subatomic particles, atomic number, mass number, relative atomic mass, mass spectrometer, mass spectra, isotopes, periodic law, transition element, Ionizations energy, electronegativity, atomic radius, ionic radius, electronic configuration, wave mechanical model, quantum numbers, electronic configuration of elements, Heisenberg uncertainty principle, Pauli's exclusion principle, Hund's rule, Aufbau‟s principle, atomic model hybridization, chemical symbols, chemical formula, molecular formula, structural formula, chemical equations, stoichiometry, mole concept, Avogadro's number, gram formula mass, gas laws, Boyle's law, Charles law, general gas equation, standard temperature and pressure, electrochemistry, cell notation, Standard Electrode Potentials, electrochemical, Daniel cell, cell potential electrolysis, reduction reaction, oxidation reaction, oxidation number, REDOX equation, chemical equilibrium, Lechatelier's Principle, solution chemistry, solubility, Raoult's law, nuclear reaction, radioactivity, Alpha rays, Beta rays, Gamma rays, natural radioactive decay series, thorium series, uranium series, actinium series, neptunium series

Topics: algebra, numbers, fractions, inequalities, cartesian plane, vector algebra, linear equations, trigonometry, trigonometric rations, trigonometric graphs, Pythagorean Identities, functions, Exponential Functions, Absolute Value Function, rational functions, root functions, Piecewise Defined Functions, limits, continuity, Horizontal Asymptotes, differential calculus, Derivative Functions, Tangent Line Problems, chain rule, Euclidean Geometry, Spherical Trigonometry