Our final exam will be 3-5 pm on Tuesday, December 18, in room 1308 (a few steps down the hall from our usual classroom).

List of Homework Assignments, Annotated for End-of-Semester Studying

This page can be found at http://www.math.vanderbilt.edu/~schectex/courses/calculus/annotated.html.

In additional to the problem sets listed below, I recommend that you also study

My final exam will not cover proofs. It will only contain problems similar to problems we've had for homework (and it will even omit a few types of problems that we've had for homework; see the chart below).

The final exam will cover the entire semester. It may devote a little bit of extra attention to recent material such as volumes, since I haven't had any other opportunity to test you on those. It will include material even from the beginning of the semester, but some of that material might be included only indirectly -- for instance, to integrate a trig function, you may need to know some earlier facts about trig functions.

In the chart below, a blank box just means ``no comment''. (It does not mean ``skip this topic.'')

Asgt # due date section page(s) problems STUDY TIPS OR COMMENTS
40 Tues Dec 11 4.7 283 12, 26, 28, 30 The list of steps on page 277 might be helpful.
39 Mon Dec 10 6.5 400 4, 6, 8, 10. (Be sure to read the instructions for #10.) This won't be on the final exam.
38 Fri Dec 7 6.3 393 36, 38 The final exam will include some volume problem(s) like these:  Use either method (shells or washers), but you decide which method.
  Wed Dec 5 Study for test: material similar to homework sets 29-33 (listed below).
37 Tues Dec 4 6.2 387 6, 12, 14 See remark for homework set 38.
36 Mon Dec 3 6.2 387 2, 4
35 Fri Nov 30 6.2 388 52, 54. (Also study Section 6.1 for a quiz.)
34 Mon Nov 26 6.1 376 28 (These take too much time, so I won't include this problem type on the exam.)
33 Fri Nov 16 6.1 376 14, 18, 22 You can use horizontal or vertical rectangles; it's up to you to decide which is easier.
32 Wed Nov 14 5.5 362 40, 42, 46, 48, 50 See class handout for more information about even functions and odd functions.
  Tue Nov 13 Study for test: Sections 4.7, 4.10, 5.3, and Appendix E.
31 Mon Nov 12 5.5 361-362 2, 4, 6, 18, 20, 30 If f(g(x)) appears in the integrand, try substituting u=g(x).
30 Fri Nov 9 5.3 344-345 8, 10, 12, 34 See Example 3 on page 341.
5.4 352-353 8, 14, 26, 28 See Examples 2 and 5 on pages 348-349.
29 Wed Nov 7 5.3 344 20, 22 These should be easy by now.
28 Tues Nov 6 4.10 (Also study section 4.10 for a quiz.)
5.1 322 4 This will be omitted from the final exam.
5.2 335 22 Unlike sums or differences, the integral of the product of two functions is NOT equal to the product of the integrals of those functions.
27 Mon Nov 5 Appx E A38 4, 14, 22, 26, 32, 44. Memorize formula 3(c) from the top of page A37.
26 Fri Nov 2 4.10 304 10, 24, 32, 36 .
25 Tues Oct 30 4.7 283-285 10, 32, 34, 50 Read all the examples carefully, and work many of the odd-numbered problems.
  Fri Oct 26 3.8, 3.9, 4.3-4.5 Study for test.
24 Wed Oct 24 4.5 270 24, 32 If you're going to rely on a calculator, be sure that you know how to use it (practice on lots of problems) and that you have fresh batteries.
4.7 282-283 4, 16, 18, 22 .
23 Fri Oct 19 4.4 261 16, 18, 20 .
4.5 270 16, 20 .
22 Wed Oct 17 4.4 261 12, 14 .
21 Tues Oct 16 4.3 248 34, 36 .Use charts, like the one on page 246.
  Mon Oct 15 Study sections 3.6, 3.7 for quiz. (The quiz may also indirectly use knowledge of earlier sections. For instance, if I ask for the derivative of sin(tan(x)), the main focus is on the chain rule, but evidently you'll need to know the derivatives of the trig functions too.) 
20 Mon Oct 15 4.3 248 28, 30, 32, 38 .
19 Fri Oct 12 4.1 231 50, 54, 56, 58 .
18 Wed Oct 10 3.9 204 18 .If you write dy when you mean dy/dx, you're never going to understand the chain rule.
17 Tues Oct 9 3.9 203-205 10, 16, 32 .
16 Mon Oct 8 3.8 197 34, 36, 38, 40 .
15 Fri Oct 5 3.7 190 10, 12, 18, 26, 28 .Implicit differentiation is easier to understand if you replace each y with f(x).  But then it takes longer to write, so perhaps you should just do that replacement in your head.  It also requires the power rule (page 180), and it might be helped slightly by the generalized product rule (page 157 problem 69).
3.8 197 6, 8, 18 .
  Tues Oct 2 Study sections 2.3, 2.5, 3.1, 3.2, 3.3, and 3.5 for test.
14 Mon Oct 1 3.6 183 10, 12, 16, 22, 24, 34, 38, 40. (Also, start studying for Tuesday's test.) .
13 Fri Sept 28 3.5 175-176 8, 12, 16, 22, 36, 40, 42, 44 .Sign errors are quite common with trig functions.  Memorize where the +'s and -'s go, on page 173 and 347.
12 Wed 26 Sept 3.3 156 20, 22, 26, 30, 40, 50, 54(a) (fg)' is NOT equal to f'g'. And be careful to get the sign right on the quotient rule.
11 Tues 25 Sept 3.3 156 2, 4, 8, 10, 12, 14 Sometimes you have to rewrite a function differently before you differentiate or integrate it.
10 Mon 24 Sept 3.1 134 14, 16, 18. (Also study sections 2.2 and 2.3 for a quiz.) .
9 Fri 21 Sept 2.5 113 16, 18, 20, 34, 38 .
3.1 134 20, 22, 24 .
8 Tues 18 Sept 2.2 83-84 4, 6, 8, 12, 22, 24,26 .
Assignments above this line are from Stewart, Calculus, 4th edition (our big heavy textbook). Assignments below this line are from "From Here to Infinity"
7 Fri Sept 14 8 74 20, 24, 26, 28 .
6 Wed Sept 12 8 73-74 2, 4, 6, 8, 10, 12, 18 .
  Mon Sept 10 Do all the odd-numbered problems from pages 49-51. (Those will not be collected.) Also, study pages 1-51 for the test. .
5 Fri Sept 7 5 41 4, 10, 12, 14, 16, 18, 22, 24 .
4 Wed Sept 5 3 and 4 pages 25-26 probs. 12, 28, 30, 44, 48 and 
pages 35-35 probs. 2, 6, 10, 12, 16, 18, 22, 24, 30, 32, 34 		 .
3 Tues Sept 4 3 25 2, 8, 16, 24, 32, 36, 40, 46 .
2 Mon Sept 3 1 and 2 page 7 # 4,6, and page 13-14 # 2,4,6,12,16,20,22 .
1 Fri Aug 31 1 6-7 1, 2, 3 .