Table of topics and assignments - Calculus II - Fall 2013
The textbook for the course is Calculus, by H. Anton and others, Early Transcendentals, 9th edition, (the one used for Calculus 1 in past semesters at FIU).
For tutoring services (including online) and other useful info follow this link . There you will also find a link for the complete solution manual. This requires username and password which I'll give in class.
Learning Assistant: Brandon
Mori
[bmori006"at"fiu.edu]
Office hours for Brandon Mori: MWF 8:00am-9:40am outside DM 409A.
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 LA).
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 might find useful the following videos delivered by Prof. David Jerison, MIT.
| Date | Topics covered | Suggested Assignment | Comments |
| Aug. 25 | 5.4 Area 5.5 The Definite Integral |
1-19odd, 10, 21-23all, 35, 37, 41, 43, 51, 53,
57-61all 9-29odd, 37, 41 |
Read also section 5.1. Proof of Theorem 5.4.2 is a possible theoretical exam topic. See your notes. |
| Aug. 27 | 5.6 Fundam. Thm. of Calculus | 1-39odd, 45-51odd, 55-63odd, 69, 70, 72* |
Possible theoretical exam topic: Proof of Thm.
5.6.3 (FTC - part 2). See text or your notes. Worksheet 1 is a homework due Tuesday, Sep. 3. Quiz 1 on Thursday, Sep. 5, covers 5.4, 5.5, 5.6. |
| Sep. 3 |
5.7 Rectilinear motion 5.8 Average value of a function |
1, 4, 11, 14, 31-43 odd 1-11odd, 25-18all |
|
| Sep. 5 |
5.9 Substitution Method 5.10 Logs & other functions Worksheet 2 Quiz 1 |
1-47odd, 54*, 63*, 65* 15, 17, 25, 28*, 31, 43 |
Chapter 5 from our text corresponds roughly to sessions 43-56 from the MIT course (see link above) |
| Sep. 10 | 6.1 Area between curves | 1-9odd, 11-14all, 35, 36 | |
| Sep. 12 |
6.2 Volumes by slicing Worksheet 3 |
1-15odd, 19, 23, 25, 39-42all, 49*, 50*, 60* |
Quiz 2 on Tuesday, Sep. 17, covers 6.1, 6.2. |
| Sep. 17 |
6.3 Volumes by cyl. shells Quiz 2 |
1-4all, 5-15odd, 27-29all, 34* |
Exam 1 on Tuesday, Sep. 24, covers all sections
done up to and including 6.3 (but not 6.4, 6.5). For your practice, here is the Exam 1 given last semester. Be aware that your exam is likely to be quite different; just working on the problems from last term is not enough practice. |
| Sep. 19 | 6.4
Arclength 6.5 Surface Area Review for Exam 1 |
3-5all, 27-31odd (do these after Exam 1) 1-7odd, 23, 26*, 27*, 33, 36, 37 (do these after Exam 1) |
Courtesy of Brandon,
here is a solution key
for Exam 1- Spring13 . There is one mistake in the above solution that I spotted after scanning the document: for pb. 4 (d) the answer should be ln(5) - ln(7/2) (because when x = - ln 2, w=1/2 + 3 = 7/2). |
| Sep. 24 | Exam 1 | Here is a solution key for Exam 1 | |
| Sep. 26 | 6.6 Work Worksheet 4 |
7-9all, 14-19all, 21, 22, 24, 25 |
Try to do Pb. 1 (b) and Pb. 2 from Worksheet 4on your own. |
| Oct. 1 |
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* |
|
| Oct. 3 |
7.3 Trig. integrals Worksheet 5 |
1-11odd, 17, 25, 29, 33, 39, 40, 68*, 70* |
Quiz 3 on Tuesday, Oct. 8, covers 7.1, 7.2, 7.3 |
| Oct. 8 |
7.4 Trig. subs. Quiz 3 |
1-29 odd, 31-35 all, 37, 39 |
|
| Oct. 10 |
7.5 Partial fractions Worksheet 6 |
1-8 all, 9-33 odd, 49, 50 |
All of worksheet 6
(including the 3rd problem) is now a homework,
due Thursday Oct. 17. If you are curious how the integrals in Pb. 3 are derived, here is a link with the physics and math behind them (they are in the last unit, the one labeled "Advanced"). |
| Oct. 15 | 7.7
Numerical approx. of integrals 7.8 Improper Integrals |
1, 7, 25, 31, 41, 43 1, 2, 3-39 odd, 45-51 odd, 55 |
|
| Oct. 17 | 10.1
Param. curves Worksheet 7 |
3-17odd, 23, 33-36, 41, 42, 45-53 odd, 61, 62,
65, 71*, 80* |
|
| Oct. 22 | 10.2
Polar Coords. 10.3 Area in Polar coords |
3, 6, 9, 11, 17-49 odd 25, 29-39 odd |
Exam 2 on Tuesday, Oct. 29 covers all sections from 6.4 until 10.3 (including 10.3). |
| Oct. 24 | Review for Exam 2 |
|
For your practice,
here is the exam 2 from last semester.
Be aware that your exam is likely to be quite different; just working on the problems from last term is not enough practice. |
| Oct. 29 | Exam 2 | Answer Key to Exam 2 | Here are your scores thus far. I considered the best 5 of 6 quizzes and worksheets. Last column is your overall percentage. If you are far from the 65% mark, remember that Monday, Nov. 4 is the drop deadline. |
| Oct. 31 | 9.1
Sequences 9.2 Monotone seq Worksheet 8 |
1-4all, 5-29odd, 31-34all, 42*, 43, 46* 1-25odd, (27-31)* all |
Worksheet 8 is now a
homework, due Thursday, Nov. 7. Quiz 4 on Tuesday, Nov. 5 from 9.1, 9.2. |
| Nov. 5 | 9.3 Def.
of Series Quiz 4 |
1-14all, 17-24all, 27-30all, 35-37all | Quiz 4 is due also on Thursday, Nov. 7. |
| Nov. 7 | 9.4 Div.
test, Int. test, p-series Worksheet 9 |
1-8all, 9-25odd |
Worksheet 9 is due on Tuesday, Nov. 12 |
| Nov. 12 | 9.5
Comp. & ratio tests |
1-4all, 5-15odd, 22, 23,25-49odd, 51*,54* | |
| Nov. 14 | 9.6 Alt. series; Abs. & cond. conv. Worksheet 10 |
1-27 odd, 31,32*, 37, 39, 43, 48*,51*,52* | Worksheet 10 is due on Thursday, Nov 21. |
| Nov.19 | 9.8 Power series, interval of conv. | 29-47 odd | No office hours on
Friday, Nov. 22. I am out of town. Regular office hours on Monday, Nov. 25. |
| Nov. 21 |
9.7 Taylor polys 9.8 Taylor series 9.10 Operations with Taylor series Worksheet 11 |
7-12all, 17, 21, 23 1-6all, 11-27odd 1, 2, 5, 6, 27, 28, 36*, 37, 40 |
Exam 3 on Tuesday,
Dec. 3 covers entire Chapter 9. Possible theoretical topics on Exam 3 (you need to know the proofs of these): Theorem 9.3.3 (Geom. series thm.), Theorem 9.4.1 (k-th term div. test); Theorem 9.4.6 (series with non-neg. terms); Theorem 9.5.1 (simple comp. test) You may also have one of the star exercises from this section. |
| Nov. 26 |
9.9 Convergence of Taylor series Review for Exam 3 |
1, 3, 5, 9, 10 Here is Exam 3 given last semester |
You don't have to memorize
the remainder estimate formula. If need it, I'll
give it to you. For Exam 3, be sure to also review all worksheets for Chapter 9. |
| Nov. 28 | Holiday, no class | Happy Thanksgiving! | |
| Dec. 3 | Exam 3 | Answer Key to Exam 3 | Try to arrive early for this exam. We start half an hour early. There will be no extra time at the end. |
| Dec. 5 | Review for final | Possible theoretical topics
on the final: Proof of Thm. 5.6.3 (FTC - part 2); Link for class proof of FTC here Proof of Integration by Parts formula; Link for class proof of IBP Proof of Geom. series thm. (Theorem 9.3.3); Link for class proof of GST Proof of k-th term div. test (Theorem 9.4.1). No link for this one (textbook proof is basically identical with what I gave in class). |
The final exam is comprehensive. Expect about
1/3
of the final to be from Chapter 9. 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. |
| Here is the solution key for the final of Spring13 | For your practice, here is
the final exam
given in Spring 2013. However, note that your final is likely to be quite different, so solving only the problems on the old exam is not enough practice. |
Office hours: Friday, Dec. 6, 1-2:30 pm, Monday, Dec. 9, 10-12noon, 1-2:30pm | |
| Dec. 10 | Final Exam | 12:00-14:00 regular room | To be sure you'll have extra time, we may start the exam 15-20 minutes early (if the room is available). |
|
These are your scores and
grades: 1st column - your last 5 digits of Panther ID (if only 4 shown, there is 0 not showing); 2nd column - your total score on quizzes/worksheets (lowest two were dropped) 3rd column - your score on the final exam out of 150. 4th column - your score on the final as percentage (to compute your bonus) last column - your grade for the class Happy Holidays! |
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