Test 2 info

**Location**: Bohannon Hall 80. Sit in alternate seats starting from the outside.**Time**: 12:55-1:50 Friday March 31.**Sections covered**: 7.7, 8.1-8.7, 9.1-9.2, 12.1-12.2

**General Info**: The test will have between 15 and 20 problems. Most, but not necessarily all, will be similar to Homework or Quiz problems.

Students will be allowed to use calculators which do not have the capability of symbolic manipulation. For example, the TI 89 is not allowed for the test. Students should indicate on their solutions any place a calculator has been used. The test will be written so that a calculator is not necessary. Certain questions will require "exact answers" (as opposed to decimal approximations obtained by calculator) for full credit.

**Tables provided:**If I ask a question involving the integral tables from the inside cover of the text (as in Sec. 8.6) I will provide the table. I will also provide any of thetrig identity formulas needed from Section 8.2 except for sin^{2}x + cos^{2}x = 1 and tan^{2}x + 1 = sec^{2}x. In particular, I will provide the double angle formulas for sin^{2}x and cos^{2}x, and the formulas for sin(A)cos(B), sin(A)sin(B), cos(A)cos(B) from table 2, p. 523, if needed.

**Study suggestions**- Review HW's, Quizzes, practice test. For a PDF version of the practice problems select here.
- End of chapter review material:
- Ch. 7: Concept Check problem 7; True-False Quiz problem 18.
- Ch. 8: Concept Check problems 1-5; True-False Quiz problems 1-5, 8,9.
- Ch. 9: Concept Check problems 1,2
- Ch. 12: Concept Check problems 1,2,3a,4; True-False Quiz problems 1,3.

**Definitions required to know:**- The "epsilon-N" definition of what it means for a sequence {a
_{n}} to converge to L. (Definition 1 on page 739) - The definition of what it means for the series
a
_{1}+a_{2}+a_{3}+... to converge to S. (You will need to first define the nth partial sum s_{n}.) (Definition 2, page 750)

- The "epsilon-N" definition of what it means for a sequence {a
**Proofs required to know**:- There will be one proof question on the test of the following type:
Prove that a specific geometric series converges to a specific limit
directly from the definition. That is, compute a formula for the nth
partial sum s
_{n}and take its limit as n goes to infinity. See practice test problem #20 for example. - Prove that if a series converges, the individual terms must converge to zero. (Theorem 6, p 754)

- There will be one proof question on the test of the following type:
Prove that a specific geometric series converges to a specific limit
directly from the definition. That is, compute a formula for the nth
partial sum s

- Go to the Math 1297 Home Page
- Go to Bruce Peckham's Home Page
- Go to the Department of Mathematics and Statistics Home Page