Texas Tech University |
 |
Department of Mathematics and Statistics Texas Tech University Lubbock, Texas 79409-1042 Voice: (806)742-2566 x 226 FAX: (806)742-1112 Email: kent.pearce@ttu.edu |
Texas Tech University |
|
Department of Mathematics and Statistics Texas Tech University Lubbock, Texas 79409-1042 Voice: (806)742-2566 x 226 FAX: (806)742-1112 Email: kent.pearce@ttu.edu |
|
Math 1352 Calculus II Spring 2008 |
Strauss, Bradley, Smith Calculus 5th Prentice Hall |
| Section | Content | Suggested Problems |
| Section 8.1 |
sequences limits of sequences limit theorems for sequences monotone sequences, bounded sequences, BMCT limits of special sequences |
12, 16, 19, 20, 23, 24, 26 |
| Section 8.2 |
infinite series definition of convergence linearity geometric series |
6, 8, 13, 20, 24, 28, 31, 48 |
| Section 8.3 |
divergence test series with non-negative terms integral test p-series |
13, 15, 21, 23, 24, 28, 32, 33, 45 |
| Section 8.4 |
direct comparison test limiit comparison test |
13, 16, 19, 22, 24, 27, 31, 37, 45, 48 |
| Section 8.5 |
ratio test root test |
5, 8, 11, 14, 17, 20, 24, 29, 31, 36, 39, 43 |
| Section 8.6 |
alternating series test error estimates via alternating series test definition of absolute convergence absolute convergence implies convergence generalized ratio and root test table 8.1: summary of convergence tests |
6, 9, 10, 16, 19, 23, 33, 35, 38, 40, 41 |
| Section 8.7 |
definition of power series (centered at x=c) convergence of power series (on intevals) radius of convergence of a power series interval of convergence term-by-term differentiation of power series term-by-term integration of power series |
3, 6, 11, 19, 25, 27, 29, 37, 42 |
| Section 8.8 |
nth-degree approximating Taylor's polynomial at x=c Taylor's series at x=c MacLaurin series remainder function at x=c Taylor's theorem representation and uniqueness of representation Taylor's series for standard functions (table 8.2) approximation and error estimates manipulation of Taylor's series |
4, 7, 11, 20, 21, 25, 32, 34, 38, 52, |
| Chapter Review: Supplementary Problems | 2, 5, 9, 14, 19, 26, 28, 31, 32, 33, 36, 41, 45, 52, 55, 56, 58, 61, 63, 68, 75 |
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