Review from Exam I       Review from Exam II       Review from Exam III

Section	Content	Suggested Problems
Section 6.1	Review of Sequences Definition Convergence of a Sequence (Limit) Arithmetic of Convergence Sequences (of Limits) Seven Important Examples Infinite Series Definition Defintion of Convergence Divergence Test Geometric Series Series with Non-Negative Terms (SNNT) Comparison Test Limit Comparison Test Ratio Test Root Test General Series Absolute Convergence Generalized Ratio Test Generalized Root Test Power Series (centered at x0) Radius of Convergence Interval of Convergence Term-by-Term Differentiation Term-by_Term Integration Uniqueness of Series Taylor Series Arithmetic of Power Series Index Manipulation Analytic at a Point x0 Second Order Linear Differential Equation Ordinary Point vs Singular Point Existence Theorem for Solutions at an Ordinary Point Power Series Solution Method Polynomial Coefficients Recursion Relation Non-Polynomial Coefficients	17, 19, 23, 26

Home | Vita | Pre-Prints | Courses | Pre Lims | Links | Jokes