Table of topics and assignments -- Calculus I - 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:
Arianna Pryor [apryo001"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.
There are many other resources on the internet, some of them good. I was
prompted to these videos
of Prof. Richard Delaware,
Univ. Missouri.
His lectures follow Anton's textbook and you may find them useful.
| Date | Topics covered | Suggested Assignment | Comments |
| Jan. 8 | Diagnostic Test Chapter 0 - review |
0.1 - 1-17odd,
19-22all, 27, 29, 31 0.2 - 1-11odd, 31-37odd, 51, 53, 59, 67, 68 0.3 - 1, 2, 9, 31, 33 |
The results on the diagnostic
test show that you need to put in a lot of
effort to cover gaps in your background. Please try to do all of the suggested problems and make a habit to devote a couple of hours of study each day for this class. It is the only way to be successful with Calculus. |
| Jan. 10 | Chapter 0 - review |
0.4 - 1,
10-14all, 17-19all, 22, 35-41odd, 25*, 26*, 29* 0.5 - 1, 5, 9, 11-29odd, 32, 42*, 48, 55, 56 Worksheet 1 |
Proof of the quadratic
formula is a possible exam question Quiz 1 on Thursday, Jan. 17 covers Chapter 0. |
| Jan. 15 | 1.1 Limits (intuitive) | 1-9odd, 17-20all, 23-29odd | |
| Jan. 17 | 1.2 Limits computations Quiz 1 |
1-31odd, 33-36all, 37, 39, 40 Worksheet 2 |
Office hour for Friday, Jan.
18 is cancelled. It is replaced with 12:00-13:20 on Wed. Jan. 23. |
| Jan. 22 | 1.3 Limits at infinity | 1-5odd, 9-31odd, 50*, 52* | Quiz 2 on Thursday, Jan. 24 covers sections 1.1,1.2,1.3 |
| Jan. 24 | 1.6 Trig. limits Quiz 2 |
1-11odd, 17-29odd, 30, 32, 40, 43, 46, 51, 52 Worksheet 3 |
Proof of Theorem 2.5.3 is a possible exam question |
| Jan. 29 | 1.5 Continuity | 1-5all, 7, 11-31odd, 33-35, 44*, 47*, 48*, 56* | |
| Jan. 31 | Review for Exam 1 | For your practice, here is
the Exam 1
given last semester. It covered more
material, so problems 8,9,10 and 3 (partially) are from Chapter 2. 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 Tuesday,
Feb. 5, covers all sections from Chapters 0 and
1, except 1.4. |
| Feb. 5 | Exam 1 | ||
| Feb. 7 | 2.1 Tang.lines, rates of
change 2.2 The derivative function |
1-8all, 11-19odd, 23-27odd 1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49* |
|
| Feb. 12 | 2.3 Computation of deriv. 2.4 Product & quotient rule |
1-23odd, 29-39odd, 51*, 53*, 55*, 57*, 70*, 73* 1-17odd, 25-33odd, 35*, 36*, 37, 38*, 39-41all |
Quiz 3 on Tuesday, Feb. 19 covers sections 2.3, 2.4, 2.5 |
| Feb. 14 | 2.5 Deriv. trig. functions |
1-15odd, 21, 25,27a), 31, 32, 35-37all, 39, 44* Worksheet 4 |
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. Quiz 3 is postponed to Thursday, Feb. 21. |
| Feb. 19 | 2.6 Chain rule |
1-21odd,27-33odd,43,46,61,63,64,67,80*,83* | |
| Feb. 21 | 3.2 Derivatives of logs 3.3 Exponentials and inverse trig. Quiz 3 |
1-27odd, 31, 35-41odd, 45*, 47* 15-45odd, 65, 66, 71*, 73* |
|
| Feb. 26 | 3.1 Implicit differentiation | 1-13odd, 19, 25, 27, 29*, 33* | Exam 2 on Tue. Mar. 5 covers
all sections of Chapter 2, plus 3.1, 3.2, 3.3. Possible theoretical topics: Proofs of Thms. 2.3.5, or 2.4.1 (product rule) or proof of the derivative formulas for trig. or inverse trig. functions |
| Feb 28 | Review for Exam 2 10.1 Param. curves |
For your practice, here is
Exam 2 given last semester.
It covered different material, so you
can do from it only pbs. 1, 2, 3(a) and 8. You
can do now pbs. 3, 8, 9, 10 from the old exam 1
(above). 3, 5, 9, 23, 41, 45, 49, 61, 62 |
Regular office hours on
Friday and Monday (1-2:30pm). On Monday, I will
be also available earlier in the morning (10:00-12:00noon). Arianna will be available on Monday from 2:30-4:00pm at the blackboards outside DM 409A. |
| Mar. 5 | Exam 2 | There is study hall for
Calculus courses in VH180. At these times there
should be one LA there able to help you: M 1100-1250 (Roberto); T 1100-1250 (Renzo), R 1830-2000 (Eric), F 1400-1600 (Rolando). Additionally, you can meet another Calculus LA (Michael) on MWR 9:00-11:00 am at the blackboards outside DM 409A. |
|
| Mar. 7 | 3.4 Related Rates | 5,7,8,12,13,17-20all,24,29,32,45* | During Spring break please review computations of derivatives. It is extremely important that you master this well. To help you, here is your Quiz 4. It is a take home quiz on derivatives. Due date: Thursday, March 21. |
| Mar. 11-16 | Spring Break | Have a good Spring Break! | This is your mini-project for the class (the only one). It is due on Thursday, March 28. |
| Mar. 19 | 3.5 Loc. lin. approx. | 1-9odd,23,27,29,34,51,55,63,67 | |
| Mar. 21 | 3.6 L'Hopital's Rule |
1, 3, 4, 7-43odd, 57, 58* Worksheet/quiz |
|
| Mar. 26 | 4.1 Graphing 1 4.2 Graphing 2 |
1-7,11-14all,15-27odd,39,40,57*,63-66 1-3all,7,9,15,16,19,21,24,25,37-47odd,51-59odd |
|
| Mar. 28 | 4.3 Graphing 3 |
1-5odd,9,11,19,31-35odd,39,45-55odd Worksheet/quiz |
|
| Apr. 2 | 4.4 Absolute max/min |
1-6, 7-13odd, 17-20all, 21-27odd |
| Apr. 4 | 4.5 Optimization |
1-27odd,43,50,51*,57* Worksheet/quiz |
The worksheet/quiz on the left is due on Tuesday, April 09. |
| Apr. 9 | 5.2 Antiderivatives 5.3 Substitution method |
1,11-25odd,33,43,45,53 1,3,5,15-59odd,71,76,77* |
Exam 3 on Tue. Apr.
16 covers sections 3.4, 3.5, 3.6, 4.1-4.5, 5.2,
5.3 No theoretical topics this time. |
| Apr. 11 | 4.8 Mean Value Thm. Review for exam 3 |
1-7odd, 15, 16, 19, 21, 27*, 29*, 30*, 31*, 35*,
36* Here is the exam 3 given last semester. (Ignore Pbs. 3, 5 for now, but review Pb. 5 for the final) See also Pbs.3, 4, 5, 6, 7 from last semester Exam 2. |
Section 4.8 is not covered on
Exam 3, but you will have one problem from it on
the final. Section 10.1 will be also covered on the final but not on this exam |
| Apr. 16 | Exam 3 | ||
| Apr. 18 | Review for final | Here are blank copies of your
three midterms Exam 1 page 1 page 2 page 3 page 4 Exam 2 Exam 3 Here is also a solution key for miniproject. |
The final exam is comprehensive. Everything that
we covered could be on the final. 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 | 12noon-2pm regular room | Office hours for final:
Friday and Monday 10:00am-12:00noon,
1:00pm-2:30pm Arianna will also be available Monday at 3:00pm on the third floor on the south side of the engineering center. |
|
Here are the results. 1st column -- first 5 digits of your Panther ID, 2nd column -- score on the mini-project (out of 50) 3rd column -- score on the final exam (out of 150) 4th column -- grade for the class |
Have a good Summer and good luck with your further studies! | ||
