In this program

Sequences and series

Calculus II · Standard syllabus

Define sequences, find limits, and classify bounded/monotonic behavior.

Objectives

Define sequences, find limits, and classify bounded/monotonic behavior.
Define partial sums and convergence of infinite series; geometric and telescoping examples.
Apply the integral test and direct comparison test for positive-term series.
Use limit comparison, ratio, and root tests to decide absolute convergence.
Apply the alternating series (Leibniz) test and estimate remainder.
Power series, radius and interval of convergence
Taylor and Maclaurin series; Taylor polynomial approximation and error

Quizzes, typed answers, and flashcards for this unit — coming soon.