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 1352-008 Calculus II Spring 2008 |
Strauss, Bradley, Smith Calculus 5th Prentice Hall |
| Section | Content Area |
Representative Problems |
|
| Section 6.1 | area between curves | 9, 15, 22 | |
| Section 6.2 | volume of a solid of rotation | 15, 23, 36 | |
| Section 6.3 | area bounded by polar coordinate curves | 31, 46 | |
| Section 6.4 | arc length; surface area of revolution | 4, 8, 14, 20 | |
| Section 6.5 | applications: work, fluid force, centroid9, 11, 14, 19, 23, 37 | ||
| Section 7.1 | method of substitution | 6, 12, 21 | |
| Section 7.2 | integration by parts | 6, 12, 13 | |
| Section 7.3 | powers of trig functions; trigonometric substituion | 8, 18, 24, 36, 41 | |
| Section 7.4 | partial fractions | 6, 16 | |
| Section 7.5 | variety of problem types | 2, 7, 27, 36, 45, 69 | |
| Section 7.6 | first order linear differential equation | 6 | |
| Section 7.7 | improper integrals | 8, 35 | |
| Section 7.8 | hyperbolic trig functions and inverses: derivatives and integrals | 21, 31, 35 | |
| Section 8.1 | sequences and limits | 16, 18 | |
| Section 8.2 | geometric series and telescoping series | 8, 25 | |
| Section 8.3 | divergence test and integral test | 29, 43 | |
| Section 8.4 | direct comparsion test and limit comparison test | 14, 39 | |
| Section 8.5 | ratio test and root test | 8, 21, 33 | |
| Section 8.6 | alternating series test; absolute convergence; error estimates | 11, 16, 34 | |
| Section 8.7 | power series; interval of convergence | 20, 25 | |
| Section 8.8 | Taylor's series and Maclaurin series; manipulation of series; error estimates | 13, 29, 33, 52 | |
| Section 9.1 | vectors in R^2; computations | 9, 21, 33 | |
| Section 9.2 | vectors in R^3; computations | 21, 26, 37 | |
| Section 9.3 | dot product; angle between vectors; diretion cosines; projections | 10, 15, 19, 31 | |
| Section 9.4 | cross product; area; volume | 6, 15, 19, 30 | |
| Section 9.5 | parametric curves; equations of lines in R^3 | 6, 19, 28, 34 | |
| Section 9.6 | planes in R^3 | 5, 11 |
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