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 email: odimo001@fiu.edu
Olivera's Helptime outside class: Tue 2:15pm3:25pm in EC1105; Thu 11:15am12:25 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 #14all, 529odd, 3134all, 39*, 42*, 43, 47*  Starred exercises are more challenging or more theoretical. 
Jan. 12 
9.2 Monotone Sequences Worksheet week 1 
9.2 pbs #125odd,
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 #121odd, 10, 5761 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 #114all, 1724all, 2730all, 3537all 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 # 1,1125odd,33,43,45,53 5.3. pbs # 1,3,5,1559odd,71,76,77. 
Jan. 24 
Rest of 5.4
 Area 5.5 The Definite Integral 
5.4 #2123all,35,37,41, 43, 5155odd 5.5 #929odd, 37, 41 
Read also section 5.1. 
Jan. 26  5.6 FTC Worksheet week 3 
5.6 #139odd, 4551odd, 5563odd, 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, 3143 odd 5.8 #111odd, 1528all Solution key for Quiz 2 
Exam 1 is moved to Thursday, Feb. 9. It
covers sections 9.1,9.2,9.3, 5.45.10. 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 #147odd,
54*, 63*, 65* 5.10 #15, 17, 25, 28*, 29, 31, 39, 43 
Office hours for
Exam 1 (in DM 432B): Monday, Feb. 6, 1010:50am,
12pm; Wednesday Feb. 8, 1010:50am, 12pm. Revue session with Olivera: Monday, Feb. 6, 6:008:00pm in AHC4, room101 
Feb. 7 
Review for Exam 1 
Chap. 5 Review Exercises: 11, 12, 1921, 2629, 30*,3141odd, 4953odd,6165all, 6777odd, 8088all, 90*  
Feb. 9 
6.1 More Area Exam 1 
6.1 #19odd, 1114all, 35, 36 (do after Exam 1) Solution key for Exam 1 

Feb. 14  6.2 Volume by slicing  6.2 #115odd,19,23,25,3942all,49*,50*,60*  
Feb. 16 
6.3 Volume by cylindrical shells Worksheet week 6 
6.3 #14all, 515odd, 2729all, 34*  Quiz 3 on Tuesday, Feb. 21, covers 6.1, 6.2, 6.3 
Feb. 21 
6.4 Arclength Quiz 3 
6.4 #35all, 2731odd Solution key for Quiz 3 

Feb. 23 
6.5 Surface area 6.6 Work Worksheet week 7 
6.5 #17odd, 23, 26*, 27*, 33, 36, 37 6.6 #79all, 1419all, 21, 22, 24, 25 
Exam 2 is on Tuesday, March 7. It covers
sections 6.16.6, 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 workenergy 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 #115odd, 24, 25, 28, 29 7.2 #129odd, 55, 57, 60*, 61a, 62b, 63*, 64*, 68* 

Mar. 2 
7.3 Trig integrals Review Exam 2 
7.3 #111odd, 17, 25, 29, 33, 39, 40, 68*, 70*
(do after exam 2) Chap. 6 Review Exercises: # 611all,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 Worksheet week 9 
7.4 #129 odd, 3135 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, 1749 odd 10.3 #25, 2939 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 #18 all, 933 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, 339 odd, 4551 odd, 5255all, 64 

Mar. 30 
9.3 Series (review) 9.4 Div. test, Int. test, pseries Worksheet week 11 
9.3 #114all, 1724all, 2730all, 3537all
(review) 9.4 #18all, 925odd 

Apr. 4 
9.5 Comp. & ratio tests 9.6 Alt. series; Abs. & cond. conv. 
9.5 #14all, 515odd, 22, 23,2549odd, 51*,54* 9.6 #127 odd, 31,32*, 37, 39, 43, 48*,51*,52* 
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, 9.6. Possible theoretical topics on Exam 3 (you need to know the proofs of these): Theorem 9.4.1 (kth term div. test); Theorem 9.4.5 (pseries 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  part of 9.8 Power
series, interval of convergence Review for Exam 3 
9.8 #2947 odd (do after Exam 3) 
Apr. 11  Exam 3  
Apr. 13 
9.7  Taylor polys rest of 9.8  Taylor series 
9.7 #712all, 17, 21, 23 9.8 #16all, 1127odd, 2947 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  Review for Final Exam 
The final exam is comprehensive. Expect about 1/3 or maybe a bit more of the final to be from series. The rest will be on integration and its applications. A couple of problems on the final will cover sections 9.79.10 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 (kth term div. test). 
Apr. 25 122pm regular room 
Final Exam  