A general single-variable calculus course based on the free OpenStax textbook. Volume 1 covers limits, derivatives, and integration through Calc 1.
A review of functions, basic classes, trig, inverses, exponentials, and logarithms
Limits, limit laws, continuity, and the precise definition. (OpenStax puts limits at infinity in Ch 4.)
Definition, derivative rules, derivatives of trig and inverse trig, the chain rule, implicit diff, and exponentials/logs
Related rates, linear approximations, extrema, MVT, curve sketching, limits at infinity, optimization, L'Hopital, Newton's method, and antiderivatives
Riemann sums, the definite integral, the FTC, integration formulas, and substitution
Areas, volumes, arc length, surfaces of revolution, work, exp/log integrals, growth/decay, and hyperbolic functions