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: Differential calculus, limit, gradient, constant multiple derivative, derivative, product rule, chain rule, quotient rule

Topics: Biostatistics, Data, accuracy, derived variables, frequency distribution, descriptive statistics, arithemetic mean, median, mode, range, standard deviation, sample statistics, binomial distribution, Poisson distribution, Normal probability distribution, normal distribution, estimation, hypothesis testing, confidence limits, chi-square distribution, Variance, regression, correlation

Topics: functions, limit, continuity, domain, range, differentiation, integration

Topics: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle

Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Topics: functions, domain, range, limits, continuity, asymptote, derivative, differentiation, integration

Topics: motion control systems, stationary robots, mobile robots, RENEWABLE POWER GENERATION, Linkages, gears, cam, geneva, ratchet drive, clutches, brake, latching, fastening, clamp devices, chain devices, belt devices, spring devices, screw devices, shaft, motion-specific devices, packaging, handling, conveying, torque, tension, limit control systems, digital prototypes

Topics: force systems, stress, stress analysis, stress concentration, fits, limits, tolerances, fasteners, square key, flat key, pins, bolts, screw, rivets, steel washers, welding, brake selection, bending moment

Topics: graphic language, principles of drawing, drawing sheet, scales, lettering, lines, sections, conventional representation, dimensioning, orthographic projection, sectional views, screwed fasteners, keys, cotters, pin joints, shaft coupling, pipe joint, pulley, riveted joints, welded joints, bearings, chains, gears, jigs, fixtures, limit, tolerances, fits, surface roughness, blue print reading, assembly drawings, part drawings, production drawing, computer aided drawing