A general single-variable calculus course based on the free OpenStax textbook. Volume 2 covers integration, applications of integration, techniques of integration, introductory differential equations, sequences and series, power series, and parametric/polar curves.
Riemann sums, the definite integral, the Fundamental Theorem of Calculus, and the substitution method
Areas, volumes (slicing and shells), arc length, surface area, physical applications, and exponential/hyperbolic applications
Integration by parts, trig integrals, trig substitution, partial fractions, numerical integration, and improper integrals
Basic differential-equations vocabulary and separable equations.
Sequences, infinite series, and convergence tests
Power series, intervals of convergence, Taylor and Maclaurin series, and applications
Parametric curves, calculus on parametric curves, polar coordinates, and area/arc-length in polar form