Table of topics and assignments -- Calculus II - Spring 2013
For the complete solution manual (9th edition) you can click here (requires username and password which I'll give in class). For tutoring services (including online), check this page.
Learning Assistant:
John Tenenholtz
[jtene001"at"fiu.edu]
The structure of the exams will be roughly as follows: about 80% is at the level of standard suggested problems, 10% at the level of more difficult suggested problems or theoretical topics (proofs that you will be asked to know), while the rest of 10% 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 LA).
We will be occasionally using in class 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 learn the Calculus material not just rely on the software package. For your exams you will not be allowed any kind of electronic devices. Your mini-projects will likely involve computer/calculator work.
| Date | Topics covered | Suggested Assignment | Comments |
| Jan. 8 | 5.4 Area |
1-19odd, 10, 21-23all, 35,
37, 41, 43, 51, 53, 57-61all Worksheet 1 |
Read also section 5.1. Proof of Theorem 5.4.2 is a possible theoretical exam topic. See your notes. |
| Jan.10 | 5.5 The Definite Integral 5.6 Fundam. Thm. of Calculus |
9-29odd, 37, 41 1-39odd, 45-51odd, 55-63odd, 69, 70, 72* |
Possible theoretical exam
topic: Proof of Thm. 5.6.3 (FTC - part 2) Quiz 1 on Thursday, Jan.17, covers sections 5.4, 5.5, 5.6. |
| Jan. 15 |
5.7 Rectilinear motion 5.8 Average value of a function |
1, 4, 11, 14, 31 1-11odd, 25-18all Worksheet 2 |
|
| Jan. 17 |
5.9 Substitution Method Quiz 1 |
1-47odd, 54*, 63*, 65* |
Office hour for Friday, Jan.
18 is cancelled. It is replaced with 12:00-13:20 on Wed. Jan. 23. |
| Jan. 22 |
5.10 Logs & other functions 6.1 Area between curves |
15, 17, 25, 28*, 31, 43 1-9odd, 11-14all, 35, 36 Worksheet 3 |
Quiz 2 on Thursday, Jan. 24, covers sections 5.9, 5.10, 6.1 |
| Jan. 24 |
6.2 Volumes by slicing 6.3 Volumes by cyl. shells Quiz 2 |
1-15odd, 19, 23, 25, 39-42all, 49*, 50*, 60* 1-4all, 5-15odd, 27-29all, 34* |
|
| Jan. 29 | Review for Exam 1 | For your practice, here is
the Exam 1 given last
semester. It covered more material, so problems 6 and 7 you cannot do at this point. Be aware that your exam is likely to be quite different; just working on the problems from last year is not enough practice. |
Exam 1 on Thursday,
Jan. 31, covers all sections done up to and
including 6.2 (but not 6.3). Office hours on Wednesday, Jan. 30, 12:00-13:20. John Tenenholtz will be also available for questions from 13:30 to 15:30 outside (or inside) DM 409A. |
| Jan. 31 | Exam 1 | ||
| Feb 5 | 6.4 Arclength | 3-5all, 27-31odd | |
| Feb. 7 | 6.5
Surface Area 6.6 Work |
1-7odd, 23, 26*, 27*, 33, 36, 37 7-9all, 14-18all, 21, 22, 25 |
Quiz 3 on Thursday, Feb. 14 covers sections 6.3, 6.4, 6.5. |
| Feb. 12 | 7.1 More
int. by substitution 7.2 Integration by Parts |
1-15odd, 24, 25, 28, 29 1-29odd, 55, 57, 60*, 61a, 62b, 63*, 64*, 68* Worksheet 4 |
Here is your
mini-project for the course. It is worth 50
points. Deadline to turn it in: Thursday, March 21. This will be the only mini-project (not two as I initially announced in the syllabus). |
| Feb. 14 |
7.3 Trigonometric integrals Quiz 3 |
1-11odd, 17, 25, 29, 33, 39, 40, 68*, 70* |
I have to cancel office hours both for Friday,
Feb. 15, and Monday February 18. I will have office hours on Wed. Feb. 20 from 11:00am to 1:00pm. Sorry for the inconvenience. |
| Feb. 19 | 7.4 Trig. subs |
1-29 odd, 31-35 all, 37, 39 Worksheet 5 |
|
| Feb. 21 | 7.5. Partial fractions | 1-8 all, 9-33 odd, 49, 50 | Exam 2 on Thu. Feb.
28 covers sections 6.3, 6.4, 6.5, 6.6, 7.1, 7.2, 7.3, 7.4, 7.5 Possible theoretical exam questions: The work-energy relationship (proof of formula (6) in section 6.6) and the proof of int. by parts formula. |
| Feb. 26 | Review
for Exam 2 7.6 Numerical Approx. of integrals |
Here is
Exam 2 given last semester. We did not cover
yet the material for Pb. 3 and 4(a). For 4(a), you can compute the integral from e to e^2. You can now do Pbs. 6 and 7 from the last semester Exam 1. |
Additional office hours on
Wed. Feb. 27, 12:00-1:20. (Regular office hours on Mon. Feb. 25, 1:00-2:30) |
| Feb. 28 | Exam 2 | ||
| Mar. 5 | 7.8 Improper Integrals | 1, 2, 3-39 odd, 45-51 odd, 55 |
Here is your Quiz 4. It is a take
home quiz, with due date Thu. Mar. 21. Thus, you'll not have a in class quiz right after Spring break. But you should finish your mini-project, do this quiz and also work on section 9.1 during the break. |
| Mar. 7 | 9.1 Sequences | 1-4all, 5-29odd, 31-34all, 42*, 43, 46* | |
| Mar. 11-16 | Spring break | Have a good Spring Break! | |
| Mar. 19 | 9.2
Monotone Sequences |
1-25odd, (27-31)* all Worksheet 03/19 |
Starting this week, until the
end of the semester my office hours will be: Mondays 1:00pm-2:30pm, Wednesdays 12:00noon-1:20pm. I will no longer have office hours on Fridays. |
| Mar 21 | 9.3 Definition of Series | 1-14all, 17-24all, 27-30all, 35-37all | |
| Mar. 26 | 9.4
Convergence tests |
1-8all, 9-25odd Worksheet/Take home quiz 03/26 |
The worksheet/take home quiz on the left is due on Thursday, Mar. 28. |
| Mar. 28 | 9.5
Comparison & ratio tests |
1-4all, 5-15odd, 22, 23, 25-49odd, 51*, 54* | |
| Apr. 2 | 9.6 Alt.
series; Abs. & conditional conv. 9.8 Power series, interval of convergence |
1-27 odd, 31, 32*, 37, 39, 43, 48*, 51*, 52* 29-47 odd Worksheet/Take home quiz --Due 04/04 |
The worksheet/take home quiz on the left is due on Thursday, Apr. 04. |
| Apr.4 | 9.7
Taylor polys 9.8 Taylor series 9.10 Operations with Taylor series |
7-12all, 17, 21, 23 1-6all, 11-27odd 1, 2, 5, 6, 27, 28, 36*, 37, 40 |
These are some nice links
showing the approximation accuracy of Taylor
polynomials of increasing degree: Link 1 ; Link 2 |
| Apr. 9 | 9.9 Convergence of Taylor
series/ Review for Exam 3 |
1, 3, 5, 9, 10 Here is Exam 3 given last semester. |
|
| Apr. 11 | 10.2 Polar coordinates 10.3 Area in polar coords. |
3, 6, 9, 11, 17-49 odd 25, 29-39 odd |
Exam 3 is rescheduled
for Tuesday,
Apr. 16.
The topics remain the same, section 7.8 and the whole Chapter 9 (no polar coordinates on exam 3). Possible theoretical topics: Thms. 9.3.3, 9.4.1, 9.5.1, Examples 1 or 2 in 9.9 . |
| Apr. 16 | Exam 3 | ||
| Apr. 18 | Review for final | Here are blank copies of your
three midterms Exam 1 Exam 2 Exam 3 |
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 polar coords. sections 10.2, 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. |
| Apr. 23 | Final Exam | 9:30am-11:45am regular room | Office hours for final: Friday and Monday 10:00am-12:00noon, 1:00pm-2:30pm |
| Here are
the results. In second column is your score on the final exam (out of 150 pts), in the last column is your grade for the class. |
Have a good Summer and good luck with your further studies! | ||