Math 409 - Test 2 Review

General Information

Test 1 (Friday, 8/5/05) will have 6 to 8 questions, some with multiple parts. The format will be similar to Test 1 and the quizzes you've taken. You should expect to have to state definitions - and some theorems -, work problems similar to ones on the homework and quizzes, and be able to prove theorems. Although you will not be directly tested over material up to Test 1, you will need to known it well enough to answer the questions from the material covered since then. Test 2 will cover the following material:
Chapter 4
4.1-4.3, and 4.4 through the Inverse Function Theorem (4.27).
Chapter 5
5.1-5.4, and 5.6 through Jensen's Inequality (5.64).
Chapter 6
6.1, 6.2, and 6.3 through the Ratio Test (6.24) and Remark 6.25.
Chapter 7
7.1-7.3

Definitions and Statements of Theorems

Proofs

Be able to state and prove the following:

Problems

Be familiar enough with the following items to be able to use them to solve problems similar to ones on quizzes and homework: various ways of calculating derivatives, limits (L'Hospital's rule), integrals; simple Riemann sums; calculation of improper integrals; geometric series, harmonic series, telescoping series; tests for convergence of series; conditions for interchange of sum and derivative and sum and integral, power series.

Updated 8/3/05 (fjn).