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 7.1 |
M1: basic anti-differentiation formulas M2: method of substitution M3: tables of integration reference number of table entry identification of choice of parameters |
2, 6, 13, 18, 23, 27, 32, 39, 46, 47 |
Section 7.2 |
M4: integration by parts repeated integration by parts integration by parts and definite integrals |
2, 6, 8, 9, 12, 17, 24, 28, 30, 32 |
Section 7.3 |
M5-1: powers of sine and cosine fundamental trigonometric identities Case 1. odd power of either sine or cosine Case 2. all powers of sine and cosine are even double angle formulas for cosine M5-2: powers of tangent and secant Case 1. even power of secant Case 2. odd power of tangent Case 3. neither case i nor case ii reduction formula for integrals of powers of secant M6: trigonometric substituion completing the square for quadratic integrands |
5, 10, 12, 17, 18, 25, 26, 27, 33, 37, 42, 46, 48, 49 |
Section 7.4 |
M7: partial fraction decomposition proper rational functions "completely" factored denominators Case 1. linear unrepeated factors Case 2. linear repeated factors Case 3. quadratic unrepeated factors Case 4. quadratic repeated factors integrating rational functions rational trigonometric functions of sine and cosine |
2, 6, 9, 12, 16, 17, 18, 20, 23, 27, 32, 33, 36 |
Section 7.5 |
summary of integration techniques strategies for selecting a technique |
3, 7, 11, 15, 23, 27, 31, 35, 39, 45, 51, 55, 59, 63, 67, 71 |
Section 7.6 |
first order separable differential equations first order linear differential equations applications of first order differential equations |
2, 4, 8, 12, 14, 23, 24, 34 |
Section 7.7 |
proper integrals existence theorem Fundamental Theorem of Calculus improper integrals with infinite limits of integration improper integrals with discontinuous integrands |
4, 5, 7, 9, 12, 15, 20, 23, 28, 33, 34, 36, 42 |
Section 7.8 |
definitions of hyperbolic trigonometric functions properities of hyperbolic trigonometric functions derivatives and integrals of hyperbolic trigonometric functions inverse hyperbolic trigonometric functions derivatives and integrals of inverse hyperbolic trigonometric functions |
14, 16, 18, 20, 24, 28, 30, 34, 37, 43 |
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