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 WarmUp 2,3  1. Skim 5.15.3; Make list of your questions about 5.15.3; Pg. 311: 2, odd 513, 66; Pg. 320: 38; Fill out form: http://fusion.stolaf.edu/formcreator/  
F. 9  5.15.3  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). 




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. S10: 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; S10: 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: 14,22,27,29; P. 362: 2, 4; Do Maple TA1 & 2 by Monday 



F.21  5.7  Working with sums  7. Read Ch.5 summary and 6.1; Do Maple TA3 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 TA4 for Friday; P.363: 39, 45; P.381: 1, 4, 9, 12, 25, 26 
F.25  6.2  Error bounds  9. Read 7.1; TA5 for Monday; P. 391: 1, 2, 9, 11 (add 11b: Repeat 11 for M_n), 23; P. 420: 5, 13 




F.28  7.1  Arc length and Area  10. Read 7.2; TA6 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; TA7 for Mon.; P. 421: 19, 24, 54, 58; P. 428: 4, 5 (problems due M. 9) 
M. 4  Test I  Covers Sections 3.4, 5.15.7, 6.16.2  
M. 7  7.2  Volumes  12. Read 8.1; TA8 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; TA9 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; TA10 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; TA11 (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. S12); TA12 (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 


Spring Break  
M.30  4.2  Limits involving infinity  17. Read 9.1; Maple TA13 (due Fri.); Pg. S22: 14,19,26, 2830,36,37,55,58,63,73 (due Mon.) 
A. 1  9.1  Taylor Polynomials  18. Read 9.2; TA14 (due Mon) Pg. 501: 1, 3, 4, 8, 14, 27 (In Problem 1, change "series" to"polynomial.") 




A. 4  9.2  Taylor's Theorem  19. Read 9.2 again; TA15 (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; TA16 (due Wed.) Pg. 529: 14, 7, 8, 10, 25, 26 (due A. 15) 
A.11  Test II  Sections: 4.2, 7.17.2, 7.47.5, 8.1, 9.19.2  
A.13  10.2, 10.3  Detecting Convergence  22. Read 10.3; TA17 (due Fri); P. 536: 3, 7, 9, 11, 14, 15 
A.15  10.2  Convergence of Improper Integrals  23. Read 11.111.2; TA18 (due Mon) P. 537: 12, 17, 18, 27, 28, 29 




A.18  11.1  Seq. & Series  24. Read 11.2, TA19 (due Wed); Pg. 553: 1, 6, 11, 13, 15, 16, 19, 21 
A.20  11.2  Convergence of Infinite Series  25. Read 11.3; TA20 (due Fri); Pg. 553: 17, 18, 25; Pg. 564: 1, 11, 16, 17 
A.22  11.3  Testing for convergence  26. Read 11.4; TA21 (due Mon.); Pg. 564: 3, 39, 45; Pg. 573: 9, 10, 18, 19 (for 18 & 19 only find upper bounds) 




A.25  11.3  Comparison, Integral Test  27. Reread 11.4; TA22 (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 11.311.4; TA23 (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, 1923; 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). 




M.2  11.5  Power Series  30. Read M.1; TA24 series handout (due Wed.); Pg. 589: 2, 4, 8*10*, 2732 (*only open intervals for 8 10) 
M.4  11.5, M.1  Power Series, Threedimensional space  31. TA25 (due Fri.); Pg. 590: 3338; Pg. M.8: 1, 2, 7, 8 
M.6  M.2  Functions of two variables  32. Read M.2 & 3; TA26 (due Mon); Pg. M8: 36, 911; Pg. M15: 2,5,6 (due May 13) 


M.9  M.3  Partial Derivatives  33.Read M.4; No TA; Pg. M15: 1013, Pg. M.23: 18, 13, 14 (due M.16) 
M.11  Test III  Sections: 10.110.2, 11.111.5  
M.13  M.4  Partial Derivatives  No assignment 




M.16  Review  
M. 19  Final Exam 9:00 am 