Course Information Maple TA Clinic Schedule Calculator Info TI-89
Review for Final Answers for Final Review Questions Numint Instructions
| Date | Text | Topic | Assign. |
| S.10 | What is Mathematics? What is Calculus? | 1. Skim 5.1-5.3; Read 3.4 (in appendix); Pg. 311: 2, odd 5-13, 66; Pg. 320: 3-8; Make list of your questions about material in 5.1-5.3. | |
| S.13 | 5.1-5.3 | Review of derivatives, and integrals | 2. Read 5.4, Pg. 330: 11,12,13,16,18,31; Pg.S-10: 8,10,14,16; Do Maple TA by 7 a.m. Wed. |
| S.15 | 5.4 | Integration by substitution | 3.Read 8.1; Pg. S-10: 2,5,18,23,24,26; Pg. 340: 2,4,5, 24+3k (k =0,...,9) Do Maple TA by 7 a.m. Fri. |
| S.17 | 3.4, 5.4 | Inverse trig. functions and derivatives and integrals | 4. Review 5.4,8.1; P 341: 52,53,56,59,69,72,74; P.465: 9,10,37,43,44,46,47; Look thru Calculus I Topic List; Do Maple TA |
| Answers to "A Mixture of Integrals" | |||
| S.20 | 8.1 | Integration by parts | 5. Read 5.5; P. 484: 20-38 (omit 21 & 31); No Maple TA, go to a math colloquium if at all possible. |
| S.22 | 5.5 , 8.1 | Integration by parts and with CAS | 6. Read 5.6; P.484: Do by hand: 41,42,46,48; P.347: Use TI-89: 11,14,24,27,31,33,37; Do Maple TA |
| S.24 | 5.6 | Integral as a limit | 7. Read 5.7; P. 354: 1-4,22,27,29; P. 362: 2, 4; Do Maple TA-5 |
| S.27 | 5.7 | Working with sums | 8. Read Ch.5 summary and 6.1; Do Maple TA-6; P.362: 5,8,13,14,22,23,27,34,37,41,45 |
| S.29 | 6.1 | Approximating integrals | 9. Read 6.2; Do Maple TA-7; P. 381: 1, 4, 6, 8, 12, 13, 25, 26 (Justify inequalities using graphical properties) |
| O.1 | 6.2 | Error bounds | 10. Read 7.1; Do Maple TA-8; P.391: 1,2,6,9,11,23, Add 11(b): Repeat 11 for M_n (Problems due Oct. 8) |
| O.4 | 7.1 | Arc length and Area | 11. Read 7.2; No Maple TA for Oct 6 or 8; P. 420: 5-8,12,14,23,37 (in #37: change 4" to 2") (Problems due Oct. 11) |
| O.6 | Test I | Covers Sections 3.4, 5.1-5.7, 8.1 | |
| O.8 | 7.2 | 12. Read 7.4; Maple TA-9 (due Mon); Pg. 421: 19, 24, 54; Pg. 428: 4, 5, 13, 15 | |
| O.11 | 7.2 | Volumes | 13. Read 7.4 again; Maple TA-10; Pg. 428: 18,19,25, 29,36-38, 40 |
| O.13 | 7.4 | Solving DE's | 14. Read 7.5; Maple TA-11; Pg. 446: 5-9,11,12,13,17 |
| O.15 | 7.4 | Solving DE's; Difference Eq Example | 15. Read Devlin handout; Maple TA-12; Pg. 446: 14-16, 19, 20, 24, 25 |
| O.18 | 7.5 | Present Value | 16. Read 4.2 (p. S-12); Maple TA-13; Pg. 452: 1,3,5,6,9 |
| O.20 | 4.2 | Limits involving infinity | 17. Read 9.1; Maple TA-14 (due O. 22); Pg. S-22: 14,19,26, 28-30,36,37,55,58,63,73 (due O. 27) |
| O.22 | Derivation of "e" | Have a good break! | |
| Fall Break | |||
| O.27 | 9.1 | Taylor Polynomials | 18. Read 9.2; Maple TA-15 (due O. 29) Pg. 501: 1, 3, 4, 6, 8, 14, 27 |
| O.29 | 9.2 | Taylor's Theorem | 19. Read 9.2 again; Maple TA-16 (due N. 1); Pg. 501: 19, 25, 26, 30; Pg. 508: 1,3,7,16,17,18 |
| N.1 | 9.2 | Taylor's Theorem | 20. Read 10.1; No Maple TA due Wed; Do Test 2 Review problems |
| N.3 | 10.1 | Improper Integrals | 21. Read 10.2; Pg. 529: 1-4, 7-10, 25, 26 (due N. 10) |
| N.5 | Test II | Sections: 4.2, 6.1-6.2, 7.1-7.2, 7.4-7.5, 9.1-9.2 | |
| N.8 | 10.2, 10.3 | Detecting Convergence | 22. Read 10.3; Maple TA-17 (due N. 10); Pg. 536: 3,7,9,11,14,15 |
| N.10 | 10.2, 11.1 | Convergence of Improper Integrals & Sequences | 23. Read 11.1-11.2; Maple TA-18 (due N. 12) Pg. 537: 12, 17; Pg. 553: 6, 10, 18, 25, 27, 38 |
| N.12 | 11.2 | Convergence of Infinite Series | 24. Read 11.3; Maple TA-19 (due N. 15); Pg. 564: 1, 11,16,17,25 |
| N.15 | 11.3 | Testing for convergence | 25. Read 11.4; Maple TA-20 (due N. 17); Pg. 564: 3, 39, 45; Pg. 573: 1, 9, 10, 14, 18, 19 (for 18 & 19 use 0 as lower bound) |
| N.17 | 11.4 | Alternating Series | 26. Read 11.4; Maple TA-21 (due N. 19); Pg. 574: 20,22,23,51; Pg. 582: 9, 12 |
| N.19 | 11.4 | Absolute convergence | 27. Read 11.5; Maple TA-22 (due N. 22); Pg. 582: 19-23; Pg. 589: 1 |
| N.22 | 11.5 | Power Series | 28. Read M.1; Pg. 589: 2-4, 8, 10 (open intervals for 8 and 10), 27-32; No Maple TA due Nov. 29. |
| Thanksgiving Break | |||
| N.29 | M.1 | Three-dimensional space | 29. Read 11.6; Maple TA-23 (due D. 1); Pg. 595: 1-3, 9, 10 (for 9 & 10 substitute into series in table on p. 595); Pg. M.8: 1, 2, 7, 8 |
| D. 1 | M.2 | Functions of two variables | 30. Read M.2 & 3; Maple TA-24 (due D. 3); Pg. M-8: 3 - 6, 9-11; Pg. M-15: 2,5,6,10-13 |
| D.3 | M.3 | Partial Derivatives | 31.Read M.4, M.6; No Maple TA; Pg. M.9: 7, 8; M.23: 1-8, 13, 14 (due D. 10) |
| D.6 | M.4 | Partial Derivatives | 32. Read M.6; Pg. M-23: 17,22; M-46: 1-5 (Due D. 13) |
| D.8 | Test III | Sections: 10.1-10.2, 11.1-11.6 | |
| D.10 | M.6 | Calculating Multiple Integrals | No Homework Assignment |
| D.13 | Review | No Homework Assignment | |
| D.16 | Final Exam 2:30 pm |