Calculus 2

Reviews left, right, and midpoint rule for Riemann Sums with diagrams. Proof for how Riemann Sum becomes an integral. Examples for how to convert integrals into Riemann Sums and vice versa.

Contains various theorems, their proofs, and examples relating to finding the convergence of series, including the integral test, alternating series test, comparison test, etc. There are also tips on how to choose which theorems to use.

Introduction to understanding convergence in sequences and series through a formal definition of limit. Example problems of dis/proving convergence of a sequence. Shows proof of Bounded Monotonic Convergence Theorem and how to apply this theorem.

Trig substitutions problem, organized worked out solution.