﻿ Table of topics and assignments

Table of topics and assignments

Textbook: Calculus, Early transcendentals, H. Anton & others, 10th edition. Info on where/what to buy.

Tutoring services (including online) and other useful info: see this link . There you will also find a link for the complete solution manual - requires username/password which I'll give in class.

Learning Assistants (LA): Olivera Dimoska     e-mail: odimo001@fiu.edu

Olivera's Help-time outside class: Tue 2:15pm-3:25pm in EC1105; Thu 11:15am-12:25 in EC1116

Exams: For tentative schedule see the syllabus. The structure of the exams will be roughly as follows: about 80% is at the level of  standard suggested problems and 20% at the level of more difficult suggested problems (denoted with *) or theoretical topics (proofs that you will be asked to know). There is always a small bonus which may test your creativity and capacity to reason. In the suggested assignment below, the more challenging problems are denoted with a star. You should do enough of the suggested problems to be sure you understand the technique and/or idea behind them. If you have troubles with the suggested problems, particularly the standard ones, be sure to ask for help (my office hours, the tutoring services, colleagues, the LAs).

You may find useful the free version of the WolframAlpha computer software system . You can use this system at home to check your work, but it is essential that you are able to do computations on your own, not just rely on the software package. For your exams you will not be allowed any kind of electronic devices.

 Date Topics covered Suggested Assignment Comments Jan. 10 9.1 Sequences 9.1 pbs #1-4all, 5-29odd, 31-34all, 39*, 42*, 43, 47* Starred exercises are more challenging or more theoretical. Jan. 12 9.2 Monotone Sequences Worksheet week 1 9.2 pbs #1-25odd, 27*,28*,31* Quiz 1 on Thursday, Jan. 19, covers 9.1 and 9.2 (no starred exercises on quizzes). If you are rusty with l'Hopital rule, you should review these  pbs. from section 3.6 #8, 13, 21, 23, 30, 38, 42 Jan. 17 part of 5.4 (sums) 5.4 pbs #1-21odd, 10, 57-61 all Proof of Theorem 5.4.2 (a) or (b) is a possible theoretical exam topic.  See your notes or text. Last Day to drop the class with refund. Jan. 19 9.3 Series, Def. + examples Quiz 1 Worksheet week 2 9.3 #1-14all, 17-24all, 27-30all, 35-37all Solution key for Quiz 1 Proof of Geometric Series Theorem (9.3.3 in the text) is a possible theoretical exam topic.  As preparation for integrals, you should review sections 5.2 and 5.3 covered in Calculus 1: These are suggested problems from those sections: 5.2. pbs # 1,11-25odd,33,43,45,53 5.3. pbs # 1,3,5,15-59odd,71,76,77. Jan. 24 Rest of 5.4 -- Area 5.5 The Definite Integral 5.4 #21-23all,35,37,41, 43, 51-55odd 5.5 #9-29odd, 37, 41 Read also section 5.1. Jan. 26 5.6 FTC Worksheet week 3 5.6 #1-39odd, 45-51odd, 55-63odd, 69, 70, 72* Proofs of each part of FTC (Thm 5.6.3) are possible theoretical exam topics. If you have not done it already, review this weekend sections 5.2 and 5.3. Quiz 2 on Tuesday, Jan. 31, covers 5.4 (Area), 5.5, 5.6. Jan. 31 5.7 Motion 5.8 Avg. of a function Quiz 2 5.7 #1, 4, 11, 14, 31-43 odd 5.8 #1-11odd, 15-28all Exam 1 is moved to Thursday, Feb. 9. It covers sections 9.1,9.2,9.3, 5.4-5.10. There will be one "proof" question on Exam 1 selected from the following: Thm. 5.4.4 parts (a) or (b) -- see text or notes; Theorem 9.3.3 (geometric series thm); Proof of FTC part B, assuming MVT for integrals; Proof of FTC part A from part B. Feb. 2 5.9 Substitution 5.10 New functions Worksheet week 4 5.9 #1-47odd, 54*, 63*, 65* 5.10 #15, 17, 25, 28*, 29, 31, 39, 43 Office hours for Exam 1 (in DM 432B): Monday, Feb. 6, 10-10:50am, 1-2pm; Wednesday Feb. 8, 10-10:50am, 1-2pm. Revue session with Olivera: Monday, Feb. 6, 6:00-8:00pm in AHC4, room101 Feb. 7 Review for Exam 1 Chap. 5 Review Exercises: 11, 12, 19-21, 26-29, 30*,31-41odd, 49-53odd,61-65all, 67-77odd, 80-88all, 90* Feb. 9 6.1 More Area Exam 1 6.1 #1-9odd, 11-14all, 35, 36 (do after Exam 1) Feb. 14 6.2 Volume by slicing 6.2 #1-15odd,19,23,25,39-42all,49*,50*,60* Feb. 16 6.3 Volume by cylindrical shells Worksheet week 6 6.3 #1-4all, 5-15odd, 27-29all, 34* Quiz 3 on Tuesday, Feb. 21, covers 6.1, 6.2, 6.3 Feb. 21 6.4 Arclength Quiz 3 6.4 #3-5all, 27-31odd Solution key for Quiz 3 Feb. 23 6.5 Surface area 6.6 Work Worksheet week 7 6.5 #1-7odd, 23, 26*, 27*, 33, 36, 37 6.6 #7-9all, 14-19all, 21, 22, 24, 25 Exam 2 is on Tuesday, March 7. It covers sections 6.1-6.6, 7.1, 7.2. Theoretical topic will be chosen from the following: Deriving the formula for volume of a pyramid or cone (see Example 1 section 6.2) Deriving formula (6) in section 6.6 (the work-energy relationship); Deriving IBP formula ; One of the starred exercises (including deriving a reduction formula). Feb. 28 7.1 More Subs 7.2 IBP 7.1 #1-15odd, 24, 25, 28, 29 7.2 #1-29odd, 55, 57, 60*, 61a, 62b, 63*, 64*, 68* Mar. 2 7.3 Trig integrals Review Exam 2 7.3 #1-11odd, 17, 25, 29, 33, 39, 40, 68*, 70* (do after exam 2) Chap. 6 Review Exercises: # 6-11all,14,15,19,20 Mar. 7 Exam 2 Solution key for Exam 2 Important assignment after exam 2: Watch at home this video on trig substitution (starting at 1:10:00) Mar. 9 7.4 Trig. subs 7.4 #1-29 odd, 31-35 all, 37, 39 You need to be in class for this worksheet Spring break homework: Due Thursday, March 23 No office hours on March 8, 10 or during the spring break. I am out of town. Mar. 21 10.2 Polar coords. 10.3 Area in polar coords 10.2 #3, 6, 9, 11, 17-49 odd 10.3 #25, 29-39 odd The proof of the area formula for regions in polar coordinates is a possible theoretical topic for exam 3. Mar. 23 7.5 Partial fractions Worksheet week 10 7.5 #1-8 all, 9-33 odd, 49, 50 Mar. 28 7.7 Numerical int. 7.8 Improper int. 7.7 #1, 3 (for just n=4), 19, 20, 22, 34, 43 7.8 #1, 2, 3-39 odd, 45-51 odd, 52-55all, 64 Homework: Due Tuesday, April 4. Pb. 3 of the worksheet week 10. Mar. 30 9.3 Series (review) 9.4 Div. test, Int. test, p-series Worksheet week 11 9.3 #1-14all, 17-24all, 27-30all, 35-37all (review) 9.4 #1-8all, 9-25odd Apr. 4 9.5 Comp. & ratio tests 9.5 #1-4all, 5-15odd, 22, 23,25-49odd, 51*,54* Exam 3 on Tuesday, April 11, covers sections 7.3, 7.4, 7.5, 7.7, 7.8, 10.2, 10.3, 9.4, 9.5. (note that 9.6 will not be covered on Exam 3) Possible theoretical topics on Exam 3 (you need to know the proofs of these):  Theorem 9.4.1 (k-th term div. test);  Theorem 9.4.5 (p-series test from the integral test; Theorem 9.5.1 (simple comp. test); Area formula in polar coordinates (in the text, 10.3.4 formula (6),  with the argument above); one of the starred exercises. Apr. 6 9.6 Alt. series; Abs. & cond. conv. Review for Exam 3 Worksheet week 12 9.6 #1-27 odd, 31,32*, 37, 39, 43, 48*,51*,52*  (do after Exam 3) Chap. 7 review:  # 19-29odd, 30, 32, 47-50all, 53*, 59, 60, 73, 74 Chap. 9 Review: #1-3all, 9 (a,b,f-j), 10 (b,c), 15, 17-19all, 22*, 23, 24, 25* Review session with Olivera: Monday, 04/10/17, SASC 351, 4pm-6pm. My office hours next week: Monday, Wednesday 1:00pm-2:30pm (note the change in time, only for the week 04/10 - 14/14)
 Apr. 11 Exam 3 Solution key for exam 3 Apr. 13 9.7 -- Taylor polys 9.8 -- Taylor series 9.7 #7-12all, 17, 21, 23 9.8 #1-6all, 11-27odd,  29-47 odd Apr. 18 9.9 Remainder estimate  9.10 Operations with Taylor series 9.9 #1, 3, 5, 9, 10  9.10 #1, 2, 5, 6, 27, 28, 36*, 37, 40 Apr. 20 Worksheet week 14 Review for Final Exam The final exam is comprehensive. Expect about 40% of the final to be from series. The rest will be on integration and its applications. About three  problems on the final will cover sections 9.6-9.10 which were not covered on midterms. Review the three exams and the worksheets.  If you have time to review section by section (this would be best),  try to understand what are the central ideas in each section and  do a couple of problems from each. Possible theoretical topics for final:  FTC part (b) (assuming MVT for integrals); FTC part (a) (assuming part (b)); Proof of IBP;  Area formula in polar coordinates (in the text, 10.3.4 formula (6), with the argument above);  Theorem 9.3.3 (Geom. series thm.); Theorem 9.4.1 (k-th term div. test). Office hours for the final exam: Friday, April 21, 10am-12noon; Monday, April 24, 10am-12noon, 1-2:30pm. Review session: Sunday, April 23, 2-3:30pm, in DM 110. Apr. 25 12-2pm regular room Final Exam