Table of topics, assignments and other info

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

LA Help-time outside class: Fridays 1-3pm in GC 280

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 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
Before first class   Review on your own:
-- all basic rules for computing derivatives;
-- computations of limits - OK to review just section 3.6 l'Hopital's Rule - pbs #7-39 odd;
-- (most important) basic anti-derivatives and integration by substitution -- sections 5.2, 5.3.
5.2. pbs # 1,11-25odd,33,43,45,53.
5.3. pbs # 1,3,5,15-59odd,71,76,77		  
 Jan. 12 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. 14 More on 9.1
Worksheet 1		    
Jan. 19 part of 5.4 (sums)

9.2 Monotone Sequences		 5.4 pbs #1-21odd, 10, 57-61 all

9.2 pbs #1-25odd, 27*,28*,31* 		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. 21 Worksheet 2
9.3 Series, Def. + examples		 Solution key Worksheet 2 -- Pb. 2

9.3 #1-14all, 17-24all, 27-30all, 35-37all		 Proof of Geometric Series Theorem (9.3.3 in the text) is a possible theoretical exam topic.
Problem 2 of worksheet 2 is due Tuesday, Jan. 26. You could do for practice problem 1 as well, but only problem 2 will be graded.
Quiz 1 on Thursday, Jan. 28, covers 9.1, 9.2, 9.3. (no starred exercises on quizzes)
Jan. 26 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. 28 5.6 FTC
Quiz 1		 5.6 #1-39odd, 45-51odd, 55-63odd, 69, 70, 72*
Solution key to Quiz 1		 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
Feb. 2 5.7 Motion
5.8 Avg. of a function
 5.7 #1, 4, 11, 14, 31-43 odd
5.8 #1-11odd, 15-28all 

 Exam 1 is moved to Thursday, Feb. 11. 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. 4 5.9 Substitution

5.10 New functions

Worksheet wk.4		 5.9 #1-47odd, 54*, 63*, 65*


5.10 #15, 17, 25, 28*, 29, 31, 39, 43

Solution key Worksheet wk4		 Searching my website, you'll find exams given in past semesters. Working on past exams 
is helpful, but the ideal practice is to solve all of the suggested homework problems. Each such problem may be an exam question.
 New: Worksheet week 4 is now a homework due Tuesday, Feb. 9.

Review session for Exam 1: Sunday, Feb. 7, 3:30-4:30pm in DM 409A.
Feb. 9 6.1 More Area
Review Exam 1
 6.1 #1-9odd, 11-14all, 35, 36 (do after Exam 1)

Chap. 5 Review Exercises: 11, 12, 19-21, 26-29, 30*,31-41odd, 49-53odd,61-65all, 67-77odd, 80-88all, 90*		 New: A WileyPlus section has been opened for this class. See the attached flyer.
I will not assign online homework through WileyPlus, so you do not have to buy the access code. But for those of you that have the access code (you probably have one if you bought the new  textbook from the FIU bookstore), you'll have access to the pdf version of the text, practice problems, applets, etc. These may help you.
Feb. 11 6.2 Volume by slicing

Exam 1		 6.2 #1-15odd,19,23,25,39-42all,49*,50*,60* - (after Exam 1)

Solution key to exam 1		 Quiz 2 on Thursday, Feb. 18, covers sections 6.1, 6.2, 6.3.
Feb. 16 6.3 Volume by cylindrical shells 6.3 #1-4all, 5-15odd, 27-29all, 34*  
Feb. 18 More on area and volume
Worksheet wk6
see above problems in 6.1, 6.2, 6.3.
Solution key Worksheet week 6		 This homework is due on Thursday, Feb. 25.
Feb. 23 6.4 Arclength
6.5 Surface area		 6.4 #3-5all, 27-31odd
6.5 #1-7odd, 23, 26*, 27*, 33, 36, 37		  
Feb. 25 7.1 More subs
6.6 Work
Worksheet wk7		 7.1 #1-15odd, 24, 25, 28, 29
6.6 #7-9all, 14-19all, 21, 22, 24, 25
Solution key Worksheet week 7		 Exam 2 is postponed to Tuesday, March 8. It covers sections 6.1-6.6, 7.1, 7.2 (but no 7.3).
Theoretical topic will be chosen from the following:
Deriving formula (6) in section 6.6 (the work-energy relationship);
Deriving IBP formula ;
One of the starred exercises (including deriving a reduction formula).
Mar 1 7.2 IBP
 7.2 #1-29odd, 55, 57, 60*, 61a, 62b, 63*, 64*, 68*
 No office hours on Monday, Feb. 29. These will be rescheduled.
Mar 3 7.3 Trig integrals
7.4 Trig. subs

Review Exam 2		 7.3 #1-11odd, 17, 25, 29, 33, 39, 40, 68*, 70* (do after exam 2)
7.4 #1-29 odd, 31-35 all, 37, 39 (do after exam 2)

Chap. 6 Review Exercises: # 6-11all,14,15,19,20		 Office hours for Exam 2:
Friday, March 4, 10:00am-1:00pm (Olivera is available after 1:00pm in GC 280)
Monday, March 7, 10:00am-2:00pm.
Mar 8 Exam 2 Solution key for Exam 2  
Mar. 10 7.5 Partial fractions 7.5 #1-8 all, 9-33 odd, 49, 50
Spring Break homework (due Tuesday, March 22)		 Have a good Spring Break!
No office hours on Friday, March 11.
Mar 22 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		 Here are your scores on Exam 2 (column G) and grade in the course thus far (last column in the table).
Column H has your total percentage thus far (with the lowest quiz/worksheet dropped).
In the first column (in increasing order), you'll find the first 5 digits of your Panther ID.
Drop-deadline is Monday, March 21. If your average is below or close to the 65% mark,
you should make a decision by March 21.
Mar. 24 9.3 Series (review)
9.4 Div. test, Int. test, p-series
Worksheet week 10		 9.3 #1-14all, 17-24all, 27-30all, 35-37all (review)


9.4 #1-8all, 9-25odd		 Possible theoretical exam topics: Proofs of the k-th term divergence test and of the p-series test (using the integral test).

Worksheet week 10 is now a homework due Tue, March 29.
Mar. 29 9.5 Comp. & ratio tests 9.5 #1-4all, 5-15odd, 22, 23,25-49odd, 51*,54*  
Mar. 31 9.6 Alt. series; Abs. & cond. conv.
Worksheet week 11		 9.6 #1-27 odd, 31,32*, 37, 39, 43, 48*,51*,52* Problem 1 (all parts) from Worksheet week 11 is a homework due Tue, April 5.
You do not have to do Pb. 2. I will cover the error estimate for alternating series on Tuesday.
Apr. 5 9.7 Taylor polys
9.8 Taylor series, 
power series, interval of conv.		 9.7 #7-12all, 17, 21, 23
9.8 #1-6all, 11-27odd,  29-47 odd		 Exam 3 is moved to Thursday, April 21. Will cover sections 7.3, 7.4, 7.5, 7.7, 7.8, 9.3-9.10
Apr.7 9.7 Taylor polys
9.8 Taylor series, 
power series, interval of conv.
Worksheet week 12		 9.7 #7-12all, 17, 21, 23
9.8 #1-6all, 11-27odd,  29-47 odd
For those of you that were not in class today, you can turn in the Worksheet 12
(see left) on Tuesday, but with a value of at most 8pts out of 10.		 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); one of the starred exercises.
Apr. 12 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		 Solution key for worksheet week 12
Additional office hours: Wednesday, April 13, 10:30-12:30
Apr. 14 10.2 Polar coords. 10.2 #3, 6, 9, 11, 17-49 odd (do these after Exam 3)  
Apr. 19 Review for Exam 3 Chap. 7 Review: # 21-29odd, 30, 32, 47-50all, 53*, 59, 60, 73, 74
Chap. 9 Review: #1-5all, 9, 10, 15-20all, 22*, 23, 25*, 26, 28, 29, 33, 34, 35		  
Apr. 21 Exam 3 Solution Key for Exam 3  
Apr. 26 10.3 Area in polar coords 10.3 #25, 29-39 odd  
Apr. 28 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.
One problem will be from section 9.9 (error estimate)
and one will be from polar coordinates (10.2 and 10.3). 
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 during the final exam week:
Wednesday, May 4, 10am-12noon,
Thursday, May 5, 10am-12:00noon, 1:30-2:30pm

Friday,

May 6

 Final Exam, 9:45-11:45am
in EC 1107.
Note the day, time and room!		 Try to arrive early. If the room is free, we'll start at 9:30
so that you have some extra time.
Your scores on the final exam (out of 150pts) and your grade for the class.

Have a good summer!