A general calculus course based on the textbook by Hass, Heil, Weir, and Thomas covering single-variable and multivariable calculus
A review of functions, their graphs, transformations, trigonometric functions, exponentials, inverse functions, and logarithms
Limits, limit laws, the formal definition, one-sided limits, continuity, and limits involving infinity
Definition of the derivative, derivative rules, derivatives of trig and inverse functions, the chain rule, implicit differentiation, related rates, and linearization
Extreme values, the Mean Value Theorem, monotonic functions, concavity and curve sketching, L'Hopital's Rule, optimization, Newton's method, and antiderivatives
Riemann sums, the definite integral, the Fundamental Theorem of Calculus, indefinite integrals, and substitution
Volumes, arc length, surfaces of revolution, and work and fluid forces
The logarithm defined as an integral, exponential change and separable differential equations, and hyperbolic functions
Integration by parts, trigonometric integrals and substitutions, partial fractions, numerical integration, and improper integrals
Sequences, series, convergence tests, power series, Taylor and Maclaurin series, and applications
Parametric curves and polar coordinates
3D coordinates, vectors, dot and cross products, lines and planes, and quadric surfaces
Vector-valued functions, derivatives, integrals, arc length, curvature, and motion
Functions of several variables, partial derivatives, the chain rule, gradients, tangent planes, extrema, and Lagrange multipliers
Double and triple integrals, polar/cylindrical/spherical coordinates, and substitutions