SM131 Calculus I Fall
2000-2001
Syllabus
Text: CALCULUS: Concepts and Contexts by James Stewart
NOTES:
1. The website has the most up to date information about the course, including this syllabus, practice and old exams, etc. Old exams have also been put on reserve at Nimitz Library.
2. All students in this course are expected to have a calculator like the TI-92 with the capabilities to do symbolic calculations. There will be assignments that use such a calculator as well as questions on the common final exam for which it is expected that the student has such a calculator. (See Calculator Notes with web-sites and course hints at the bottom of this page.)
3. If you would like help in the course, you should contact your instructor for extra-instruction. If your instructor is not available, try the Math Lab in C216a. It is staffed all six class periods every class day with instructors who should be able to answer your questions.
4. Exercises that ask for verbal explanations should be answered with complete sentences.
LESSON |
SECTION & TOPIC |
PROBLEMS |
|
1 |
introduction; appendix A |
pA6: 15, 22, 24, 29, 31, 36, 41 |
|
2 |
appendices B & C |
pA17: 5, 12, 13, 21, 39; pA30: 17, 18, 30, 31 |
|
3 |
1.1: functions |
p24: 41, 42, 43, 44, 45,
46, 47, 48, 49, 50, 51 |
|
4 |
1.2: functions |
p38: 3, 4, 5, 6, 7, 8, 9,
10, 27, 28 |
|
5 |
1.2: functions |
p40: 34, 35, 38, 45, 46,
47, 49, 50, 51, 52 |
|
6 |
1.4: parametric equations |
p53: 11, 12, 13, 14, 15,
18, 19, 20 |
|
7 |
1.4: parametric equations |
p54: 23, 25, 26, 32, 33, 34, 35, 36 |
|
8 |
1.4: parametric equations |
p54: 29, 30, 31 |
|
9 |
1.5: exponential
functions |
p62: 3, 4, 5, 6, 15, 17, 18, 22, 23 |
|
10 |
1.6: inverse functions |
p73: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 20, 21 |
|
11 |
1.6: inverse functions |
p73: 23, 27, 28, 33, 45,
57, 58, 59 |
|
12 |
app C: inverse trig func |
pA31: 41, 42, 43, 44, 45,
47, 48 |
|
13 |
review for test one |
|
|
14 |
TEST ONE |
|
|
15 |
2.1: tangents |
p101: 1, 2, 3, 7, 8, 9 |
|
16 |
2.4 & 2.2: continuity & limits |
p128: 3, 4, 5, 6, 8; p110: 3, 4, 7, 8 |
|
17 |
2.2 & 2.5: limits |
p110: 13, 14, 15; p140: 2, 7, 8, 12, 33, 40 |
|
18 |
2.6 tangents |
p149: 2, 10, 11, 13, 16,
22, 24 |
|
19 |
2.7: derivatives |
p156: 1, 2, 3, 4, 5, 6, 25, 26, 27, 28, 31, 32 |
|
20 |
2.8: derivatives |
p168: 1, 2, 3, 27, 28,
33, 34, 35, 36 |
|
21 |
2.10: derivatives |
p180: 1, 2, 8, 9, 11, 12, 15, 16, 17, 18, 21, 22, 24 |
|
22 |
2.9: linear approximation |
p174: 3, 4, 7, 8, 9, 10,
11, 12 |
|
23 |
3.8: linear approximation |
p258: 5, 7, 8, 10, 12,
15, 16, 17, 18 |
|
24 |
Taylor polynomials |
p259: 6, repeat #6 with
f(x) = ln(1+x); p618: 2 |
|
25 |
8.9: Taylor polynomials |
p630: 3, 4, 8, 23, 26 |
|
26 |
4.5: L’Hopital’s rule |
p308: 3, 4, 5, 9, 10, 13,
14, |
|
27 |
review for test two |
|
|
28 |
TEST TWO |
|
|
29 |
3.1 & 3.2:
differentiation |
p200: 37, 38, 46, 47, 48,
54; p206: 26, 27, 28, 29 |
|
30 |
3.4 & 3.5:
differentiation |
p226: 29, 30, 31, 35; |
|
|
|
p235: 34, 37, 38, 39, 40,
41, 49, 50, 61, 62, 69 |
|
31 |
3.7 & 3.6:
differentiation |
p253: 31, 32; p245: 3, 4,
9, 10, 14, 15, 21, 22 |
|
32 |
3.6: implicit
differentiation |
p245: 17, 18, 41, 42, 43,
46, 47, 49; p253: 35, 36 |
|
33 |
4.1: related rates |
p272: 3, 4, 5, 6, 7, 8,
9, 10, 11 |
|
34 |
4.1: related rates |
p272: 12, 13, 14, 15, 16,
17, 18, 19, 20 |
|
35 |
4.1: related rates |
p273: 21, 22, 23, 24, 25, 26, 27, 28 |
|
36 |
4.2: maxima & minima |
p279: 3, 4, 51, 52, 53,
55, 56 |
|
37 |
4.6: optimization |
p316: 1, 2, 3, 4, 5, 6,
7, 8, 9, 10 |
|
38 |
4.6: optimization |
p316: 11, 12, 13, 14, 15, 16, 17, 20 |
|
39 |
review for test three |
|
|
40 |
TEST THREE |
|
|
41 |
5.1: areas |
p359: 1, 2, 4, 9, 10, 11 |
|
42 |
5.2: integrals |
p370: 3, 4, 21, 22, 23,
24, 31, 32 |
|
43 |
review for final exam |
|