MATH128 Study Guide - Final Guide: Partial Fraction Decomposition, Trigonometric Substitution
Document Summary
Evaluate indefinite, definite and improper integrals using recognition, substitution, trigonometric substitution, integration by parts, or partial fractions. Solve certain differential equations exactly: separable equations, first-order linear equations, second-order reducible to first (both types); solve initial value problems. Sketch curves defined by parametric equations, and find their slopes, areas, and arc length, as well as the surface area traces out by such curves rotated in three-space. Sketch curves defined by polar coordinates, and find their slopes, areas, and arc length. Determine whether a given sequence converges or diverges. Determine whether a given numerical series converges or diverges, and name the test used. Determine a power series for a given function and center, and find its radius of convergence, using either the geometric method, the binomial method, or taylor"s method.
