Table of topics, assignments and other info

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

Tutoring services (including online) and other useful info follow 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 (LAs): Rodolfo Guerrero rguer054@fiu.edu  , Rudnei Moran rmora112@fiu.edu

They are students who did well in Calculus in previous semesters. But do not expect them to be able to answer all your questions! For more difficult problems, see me.

Updated hours for LAs - Starting Sep. 08, one of the LAs will be available at these times and places:

Mo 2:30-3:30pm DM409A (outside or inside), Tu & Th 2:30-3:30pm GC 279A, We 1:30-2:30pm PC 433.

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 10% 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. 

You may also find useful the following videos delivered by Professor David Jerrison, MIT.

Date Topics covered Suggested Assignment Comments
Aug. 26 9.1 Sequences 1-4all, 5-29odd, 31-34all, 39*, 42*, 43, 47*  Starred exercises are more challenging or more theoretical.
Aug. 28 Worksheet week 1
9.2 Monotone seq		  
1-25odd, (27-31)* all		 You may find useful this site devoted to Calculus.
Sep. 2 Part of 5.4 Sums
 1-21odd, 10, 57-61 all
 Proof of Theorem 5.4.2 parts (a) or (b) is a possible theoretical exam topic.
See your notes.
Sep. 4 9.3 Series, Def. + examples

Rest of 5.4 -- Area
5.5 The Definite Integral

Worksheet week 2		 1-14all, 17-24all, 27-30all, 35-37all

21-23all,35,37,41, 43, 51-55odd
9-29odd, 37, 41

 The geometric series thm (9.3.3. in the text) is a possible theoretical exam topic.
Read also section 5.1 in conjuction with area and definite integral. 
Chapter 5 from our text corresponds roughly to sessions 43-56 from the MIT course
(see link above)

Homework due Tue. Sep. 9: Pb. #3 from Worksheet week 2.
Sep. 9 5.6 FTC
5.7 Motion		 1-39odd, 45-51odd, 55-63odd, 69, 70, 72*
1, 4, 11, 14, 31-43 odd		 Possible theoretical exam topics: proof of Thm. 5.6.3 (FTC);
deriving equations (10), (11) in 5.7.2 (motion with constant acceleration)
Sep. 11 5.8 Avg. of a function
5.9 Substitution
Worksheet week 3		 1-11odd, 15-28all 
1-47odd, 54*, 63*, 65*
 Quiz 1 on Tuesday, Sep. 16, covers sections 5.6,  5.8, 5.9.
Sep. 16 5.10 New functions
Quiz 1		 15, 17, 25, 28*, 29, 31, 39, 43
Solution key for quiz 1		 Exam 1 on Tuesday, Sep. 23, covers sections 9.1-9.3, 5.4-5.10.
Searching my website -- see the previously taught courses link on my main page -- 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.
Sep. 18 6.1 More area
6.2 Volume - slicing

Review for Exam 1		 1-9odd, 11-14all, 35, 36 (do after Exam 1)
1-15odd,19,23,25,39-42all,49*,50*,60* - (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*		 There will be one "proof" question on the exam selected from the following:
Thm. 5.4.4 parts (a) or (b) -- see text or notes; Thm. 9.3.3 (geometric series thm);
proof of FTC part (a) (assuming MVT for integrals); proof of FTC part (b) assuming part(a);
deriving equations (10), (11) in 5.7.2 (motion with constant acceleration) -- see text or notes
Sep. 23 Exam 1 Solution Key for Exam 1  
Sep. 25 Worksheet week 5
6.3 Volume - shells
1-4all, 5-15odd, 27-29all, 34*		 You may submit Pb. 4 of worksheet 5 for a bit of extra credit by Tue. Sep. 30.
Quiz 2 on Tuesday, Sep. 30, covers sections 6.1, 6.2, 6.3.
Sep. 30 6.4 Arc length
6.5 Surface area
Quiz 2		 3-5all, 27-31odd
1-7odd, 23, 26*, 27*, 33, 36, 37
Solution Key for Quiz 2		 Solution key for Pb. 4 on worksheet 5
Oct. 2 6.6 Work
Worksheet week 6		 7-9all, 14-19all, 21, 22, 24, 25
  
Oct. 7 7.1 More subs
7.2 IBP		 1-15odd, 24, 25, 28, 29
1-29odd, 55, 57, 60*, 61a, 62b, 63*, 64*, 68*		  
Oct. 9 Worksheet week 7
7.3 Trig. integrals
7.4 Trig. subs
1-11odd, 17, 25, 29, 33, 39, 40, 68*, 70*
1-29 odd, 31-35 all, 37, 39		 Homework due Tue. Oct. 14 -- Problem 3 from Worksheet 7 (only Pb. 3 will be graded)
Solution key for Problem 3 of Worksheet 7
Oct. 14 7.5 Partial fractions 1-8 all, 9-33 odd, 49, 50  
Oct. 16 Worksheet week 8
7.8 Improper Int.		 Solution key for Worksheet 8
1, 2, 3-39 odd, 45-51 odd, 52-55all(new), 64(new)		 Homework due Tue. Oct. 21 -- The entire Worksheet 8.
Oct. 21
7.7 Num. Int.

 		 1, 7, 25, 31, 41, 43
 Exam 2 on Tuesday, Oct. 28 covers sections 6.1-6.6, 7.1-7.5, 7.7, 7.8.
There will be one "proof" question on the exam selected from the following:
Deriving the volume of a cone or pyramid using the slicing method (see your notes);
Deriving formula (6) in section 6.6 (the work-energy relationship);
Deriving IBP formula ;
Oct. 23
10.2 Polar coords.



Review for Exam 2		  
3, 6, 9, 11, 17-49 odd (do after Exam 2)

Chap. 6 Review Exercises: 6-11all,14,15,19,20
Chap. 7 Review: 1-5odd,9-12all,15,16,21-27odd,30,32,
47-50all,56,59,60,73,74		 Searching my website -- see the previously taught courses link on my main page -- 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.
 Extra office hours: Wednesday Oct. 22, 11:30-13:00
Monday Oct. 27, 11:00-12:30 + regular time 13:00-14:30
No office hour on Friday, Oct. 24.
Oct. 28 Exam 2 Solution Key for Exam 2  
Oct. 30 10.3 Area w. polar
Worksheet week 10		 25, 29-39 odd
Happy Halloween!		 Homework due Tuesday, Nov. 4 -- the entire Worksheet 10
Here are your scores on Exam  2 and your overall percentage so far.
In the last 3 columns there are, respectively, your score on Exam 2 out of 88,
then your score on Exam 2 out of 100 (previous column multiplied by 100/88)
and, last, your overall percentage so far. I dropped one lowest score from
the first 6 quizzes/worksheets. I used the first 5 digits of your PID.
The grade scale is on the syllabus. Drop deadline: Monday, November 3.
Nov.4 9.3 Series
9.4 Div. test, Int. test, p-series		 1-14all, 17-24all, 27-30all, 35-37all

1-8all, 9-25odd		  
Nov.6 9.5 Comp. & ratio tests
Worksheet week 11		 1-4all, 5-15odd, 22, 23,25-49odd, 51*,54*

I did not have time to cover ratio test today.
Try to read it on your own and do all suggested pbs of 9.5.		 If you have not finished in class (or not completed at all) worksheet 11,
you may do so at home and turn it in on Thursday, Nov. 13 for 75% of the credit.
Nov.11 No class. Veteran's Day.
University closed.		    
Nov.13 9.6 Alt. series; Abs. & cond. conv.
9.8  Power series, interval of conv.		 1-27 odd, 31,32*, 37, 39, 43, 48*,51*,52*

29-47 odd
 Here is the flyer of the FIUTeach program that you heard
about in a previous class. The hard copy that some of you got
in class contained an old course number. It has changed from
SMT 2990 to SMT 2993.
Nov.18 9.7 Taylor polys
9.8 Taylor series		 7-12all, 17, 21, 23
1-6all, 11-27odd		  
Nov.20 9.9 Remainder estimate 
9.10 Operations with Taylor series
Worksheet week 13		 1, 3, 5, 9, 10
1, 2, 5, 6, 27, 28, 36*, 37, 40
 Homework due Tuesday, Nov. 25 -- the entire Worksheet 13 (it is worth 20pts)
Nov.25 Review for Exam 3 From Chap. 9 Review, these are good problems:
1-5all, 9, 10, 15-23all, 25, 26, 28, 29, ,30, 33,34
Extra office hours
(starting Monday Nov. 24 until the end of the semester):
MWF 10:30am-12:30noon + regular hours MF 1-2:30pm
(no hours on Friday, Nov. 28, and other changes possible )

 Exam 3 on Tuesday, Dec. 2, covers polar coordinates (10.2, 10.3) and series (9.3-9.10)
Possible theoretical topics on Exam 3 (you need to know the proofs of these): 
The area formula in polar coordinates (in the text, 10.3.4 formula (6),
 with the argument above); Theorem 9.4.1 (k-th term div. test);
Theorem 9.4.6 (series with non-neg. terms); Theorem 9.4.4 (integral test);
Theorem 9.4.5 (p-series test from the integral test); Theorem 9.5.1 (simple comp. test).
Nov.27 No Class. Happy Thanksgiving!    
Dec.2 Exam 3 Solution key for Exam 3  
Dec.4 Review for Final For your practice, here is the final exam given last semester.,
and here is its solution key. Be aware that your exam is likely to be quite different.		 Possible theoretical topics for final: 
FTC (one of two parts); proof of IBP; 
The area formula in polar coordinates (in the text, 10.3.4 formula (6),
 with the argument above -- see text or notes) ; 
Theorem 9.3.3 (Geom. series thm.);
Theorem 9.4.1 (k-th term div. test -- see text or notes);
Dec.9 Final Exam 12-2pm, EC 2440 Office hours: Friday, Dec. 5, 11am-1:00pm,
Monday, Dec. 8, 9:00-9:50am, 11:00am-2:30pm
    Here is a blank copy of the final and here is its solution key.  
    In this table you'll find your score on the final exam (out of 150pts) and your grade for the class (in the 3rd column). I used the first 5digits of you PantherID.  
       
    Happy Holidays!