Final Review Topics Final Review Answers
Review for Test 1 Answers for Review 1
Review for Test 2 Answers for Review 2
Review for Test 3 Answers for Review 3
| Date | Text | Topic | Assignment |
| F. 7 | What is Calculus? Answers to Warm-Up 2,3 | 1. Skim 5.1-5.3; Make list of your questions about 5.1-5.3; Pg. 311: 2, odd 5-13, 66; Pg. 320: 3-8; Fill out form: http://fusion.stolaf.edu/formcreator/ | |
| F. 9 | 5.1-5.3 | Review of derivatives, and integrals | 2. Read 5.4, Pg. 330: 11, 13, 15, 18, 20, 22, 24, 26, 28, 30, 31; |
| F.11 | 5.4 | Integration by substitution Answers to Examples | 3.Read 3.4 (in Appendix); Pg. 340: 2,4,5, 24, 27, 30, 33, 36, 39, 42, 45, 48; (check with your calculator). |
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| F.14 | 3.4, 5.4 | Inverse trig. functions and derivatives and integrals | 4. Review 3.4, 5.4; P. 341: 26, 32, 34, 40, 51, 52, 53: P. S-10: 2, 5, 8, 10, 14, 16; |
| F.16 | 5.3, 5.5 | Derivation & use of FTC | 5. Read 5.6; P.342: 69, 72, 74; S-10: 18, 23, 24; Use your calculator for the following: P.348: 19, 24,27, 31, 33 |
| F.18 | 5.6 | Integral as a limit | 6. Read 5.7; P. 354: 1-4,22,27,29; P. 362: 2, 4; Do Maple TA-1 & 2 by Monday |
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| F.21 | 5.7 | Working with sums | 7. Read Ch.5 summary and 6.1; Do Maple TA-3 for Wed.; P.355: 24, 28; P.362: 5,8,13,14,22,27,34,37,41 |
| F.23 | 6.1 | Approximating integrals | 8. Read 6.2; Do TA-4 for Friday; P.363: 39, 45; P.381: 1, 4, 9, 12, 25, 26 |
| F.25 | 6.2 | Error bounds | 9. Read 7.1; TA-5 for Monday; P. 391: 1, 2, 9, 11 (add 11b: Repeat 11 for M_n), 23; P. 420: 5, 13 |
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| F.28 | 7.1 | Arc length and Area | 10. Read 7.2; TA-6 for Wed.; P. 420: 6, 7, 8, 14, 23, 37 (in #37: change 4" to 2") |
| M. 2 | 7.1 | Arc length and Area | 11. Reread 7.2; TA-7 for Mon.; P. 421: 19, 24, 54, 58; P. 428: 4, 5 (problems due M. 9) |
| M. 4 | Test I | Covers Sections 3.4, 5.1-5.7, 6.1-6.2 | |
| M. 7 | 7.2 | Volumes | 12. Read 8.1; TA-8 for Wed; P. 429: 11, 13, 19, 25; P.465: 9, 10, 11, 14 |
| M. 9 | 7.2, 8.1 | Volumes, Int. by Parts | 13. Reread 8.1; TA-9 for Fri; P. 429: 15, 18, 20, 26; P. 465: 15, 16, 17 [You do not need to check 15, 16, & 17] |
| M.11 | 8.1, 8.4 | Integration by Parts | 14. Read 7.4; TA-10 for Mon; P 430: 29, 37, 39; P 466: 37, 40, 44 (first subst. w = ln x), 45 (first subst. w = x^(1/2)) |
| M.14 | 7.4 | Solving DE's | 15. Read 7.5; TA-11 (due Wed); Pg. 446: 9, 11, 14, 15, 16, 19, 20, 25 (For 14, use "solve" on your TI) |
| M.16 | 7.5 | Solving DE's; Present Value | 16. Read 4.2 (p. S-12); TA-12 (due Fri); Pg. 452: 1 (1b - answer should be 158,817), 3, 5, 6, 9 |
| M.18 | 4.2 | Credit Card example; Derivation of "e" | No TA due March 30 |
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Spring Break | |
| M.30 | 4.2 | Limits involving infinity | 17. Read 9.1; Maple TA-13 (due Fri.); Pg. S-22: 14,19,26, 28-30,36,37,55,58,63,73 (due Mon.) |
| A. 1 | 9.1 | Taylor Polynomials | 18. Read 9.2; TA-14 (due Mon) Pg. 501: 1, 3, 4, 8, 14, 27 (In Problem 1, change "series" to"polynomial.") |
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| A. 4 | 9.2 | Taylor's Theorem | 19. Read 9.2 again; TA-15 (due Wed); Pg. 501: 9, 17, 19; Pg. 508: 1, 3, 7 |
| A. 6 | 9.2 | Taylor's Theorem | 20. Read 10.1; Add to assignment 19 & turn in Fri.: Pg. 508: 4, 5 [for (b) in both use your TI's Taylor command to get p(x)]. Redo TA's and do Test 2 Review problems |
| A. 8 | 10.1 | Improper Integrals | 21. Read 10.2; TA-16 (due Wed.) Pg. 529: 1-4, 7, 8, 10, 25, 26 (due A. 15) |
| A.11 | Test II | Sections: 4.2, 7.1-7.2, 7.4-7.5, 8.1, 9.1-9.2 | |
| A.13 | 10.2, 10.3 | Detecting Convergence | 22. Read 10.3; TA-17 (due Fri); P. 536: 3, 7, 9, 11, 14, 15 |
| A.15 | 10.2 | Convergence of Improper Integrals | 23. Read 11.1-11.2; TA-18 (due Mon) P. 537: 12, 17, 18, 27, 28, 29 |
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| A.18 | 11.1 | Seq. & Series | 24. Read 11.2, TA-19 (due Wed); Pg. 553: 1, 6, 11, 13, 15, 16, 19, 21 |
| A.20 | 11.2 | Convergence of Infinite Series | 25. Read 11.3; TA-20 (due Fri); Pg. 553: 17, 18, 25; Pg. 564: 1, 11, 16, 17 |
| A.22 | 11.3 | Testing for convergence | 26. Read 11.4; TA-21 (due Mon.); Pg. 564: 3, 39, 45; Pg. 573: 9, 10, 18, 19 (for 18 & 19 only find upper bounds) |
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| A.25 | 11.3 | Comparison, Integral Test | 27. Reread 11.4; TA-22 (due Wed); Pg. 574: 14, 20, 22, 23, 48, 51 (For 20 find only an upper bound; for 48 & 51 don't find either bound) |
| A.27 | 11.3, 11.4 | Ratio Test, Absolute Conv. | 28. Reread 11.3-11.4; TA-23 (due Fri.); Pg. 573: 1, 21, 31, 45, 46, 49; Pg. 582: 9, 12 |
| A.29 | 11.4, 11.5 | Alternating Series, Power Series | 29. Read 11.5; Pg. 582: 10, 19-23; Pg. 589 1, 3; No TA, but before Monday, decide which series test you would try first on the sample series on the (you don't need to actually use the series test you name). |
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| M.2 | 11.5 | Power Series | 30. Read M.1; TA-24 series handout (due Wed.); Pg. 589: 2, 4, 8*-10*, 27-32 (*only open intervals for 8 -10) |
| M.4 | 11.5, M.1 | Power Series, Three-dimensional space | 31. TA-25 (due Fri.); Pg. 590: 33-38; Pg. M.8: 1, 2, 7, 8 |
| M.6 | M.2 | Functions of two variables | 32. Read M.2 & 3; TA-26 (due Mon); Pg. M-8: 3-6, 9-11; Pg. M-15: 2,5,6 (due May 13) |
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| M.9 | M.3 | Partial Derivatives | 33.Read M.4; No TA; Pg. M-15: 10-13, Pg. M.23: 1-8, 13, 14 (due M.16) |
| M.11 | Test III | Sections: 10.1-10.2, 11.1-11.5 | |
| M.13 | M.4 | Partial Derivatives | No assignment |
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| M.16 | Review | ||
| M. 19 | Final Exam 9:00 am |