MA113 |
Spring 2000 |
Calendar |
|
Date |
Section |
Topic and problems |
W 1/12 |
Intro, §2.1 |
Functions and their graphs, #5, 7, 9, 11, 13, 15, 17, 19, 25, 35, 37, 38, 39 |
F 1/14 |
§2.2 |
Operations on functions, #1, 3, 4, 11, 15, 17, 23, 25, 33, 35* |
M 1/17 |
|
Martin Luther King, Jr. holiday |
W 1/19 |
§2.3 |
The trigonometric functions #1, 9, 11, 13, 15, 17, 19, 25, 32, 33, 35 |
F 1/21 |
§2.4 |
Introduction to limits, #1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 29, 38 |
M 1/24 |
§1.3, §1.4 |
Inequalities, §1.3 #1, 2, 3, 5, 7, 19, 21, 23, §1.4 #3, 5, 7, 9, 11 |
W 1/26 |
§2.5 |
Rigorous study of limits, #7, 9, 13, 16, 17, 18, 23 |
F 1/28 |
§2.6 |
Limit theorems, #1, 3, 5, 13, 15, 17, 21, 23, 25, 27, 29, 36* |
M1/31 |
§2.7 |
Limits involving trigonometric functions, #1, 3, 5, 7, 9, 11, 13, 17, 18*, |
W 2/2 |
§2.8 |
Limits at infinity, Infinite limits, #1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 37, 39, 41, 43, 49 Last day to drop. |
F 2/4 |
§2.9 |
Continuous functions, #1, 3, 5, 7, 9, 16, 17, 19, 21, 23, 38, 39, 40*, 43, 44, 46 |
M 2/7 |
|
Review |
T 2/8 |
|
Exam, 7:30-9:30 p.m., room tba |
W 2/9 |
§3.1 |
Two problems with one theme, #1, 3, 7, 13, 17, 21, 25, 27 |
F 2/11 |
§3.2 |
The derivative, #1, 5, 9, 13, 19, 27, 45, 47, 48*, 49, 51* |
M 2/14 |
§3.3 |
Rules for finding derivatives, #1, 3, 5, 7, 9, 21, 23, 25, 33, 35, 37, 39, 41, 43, 45, 47, 51, 54*, 57* Learn to differentiate! |
W 2/16 |
§3.4 |
Derivatives of trigonometric functions, #1-13 (odds), 17, 21, 25 |
F 2/18 |
§3.5 |
The chain rule, #1, 3, 5, 9, 11, 13, 21, 33, 35, 43, 45*, 47, 52 |
M 2/21 |
§3.6 §3.7 |
Leibniz notation, #31, 39 Higher order derivatives, #1, 5, 7, 19, 20, 35, 37, 39 |
W 2/23 |
§3.8 |
Implicit differentiation, #1, 3, 7, 13, 19, 21, 25, 33, 35, 41, 42, 43 |
F 2/25 |
§3.9 |
Related rates, #1, 3, 5, 7, 9, 15, 19*, 20, 21 |
M 2/28 |
§3.10 |
Differentials and approximations, #1, 12, 15, 18, 19, 21, 25, 27, 29 |
W 3/1 |
§4.1 |
Maxima and minima, #1, 3, 7, 13, 15, 17, 21, 23, 27, 29, 34 |
F 3/3 |
|
Review |
M 3/6 |
|
Review |
T 3/7 |
|
Exam, 7:30-9:30 p.m., room tba |
W 3/8 |
§4.2 |
Monotonicity and concavity, #1, 3, 7, 13, 21, 23, 29, 31, 43, 49, 50, 51, 52 Last day to withdraw |
F 3/10 |
§4.3 |
Local maxima and minima, #1, 3, 7, 13, 17, 29, 30 |
3/13-3/17 |
|
Spring break: study hard! |
M 3/20 |
§4.4 |
More max-min problems, #1, 5, 7, 13, 19, 21, 29* |
W 3/22 |
§4.7 |
The mean value theorem #1, 2, 3, 24, 29, 30, 31, 36*, 40, 41, 44 |
F 3/24 |
§5.1 |
Anti-derivatives (indefinite integrals) #1, 3, 7, 17, 19, 21, 25, 39 |
M 3/27 |
§5.2 |
Introduction to differential equations #1, 3, 5, 7, 11, 17, 21, 29, 31, 33 |
W 3/29 |
Appendix A |
Mathematical Induction #1-4, 10, 13, 17, 27, 28*, §3.7 #17, 20 |
F 3/31 |
§5.3 |
Sums and sigma notation, #1, 3, 9, 11, 13, 15, 25, 31, 33, 36, 37, 38, 45* |
M 4/3 |
§5.4 |
Introduction to area, #1, 5, 11, 12, 13, 19, 24* |
W 4/5 |
§5.5 |
The definite integral, #1, 5, 7, 11, 17, 19, 21, 24*, 25 |
F 4/7 |
|
Review |
M 4/9 |
|
Review |
T 4/10 |
|
Exam, 7:30-9:30 p.m., room tba |
W 4/12 |
§5.6 |
The first fundamental theorem of calculus, #1, 2, 5, 7, 13, 15, 17, 23, 29, 33, 35, 45, 47, 49 |
F 4/14 |
§5.7 |
The second fundamental theorem of calculus and the mean value theorem for integrals, #1, 3, 5, 7, 11, 13, 15, 17, 19, 31, 33, 35, 55, 59* |
M 4/17 |
§5.8 |
Evaluating definite integrals, #1, 3, 5, 7, 9, 15, 17, 27, 29, 33, 41, 47*,51, 53, 55, 57, 58. Learn to integrate! |
W 4/19 |
§6.1 |
The area of a plane region, #1, 3, 5, 9, 15, 21, 25, 29, 34, 36*, 37 |
F 4/21 |
§6.2 |
Volumes of solids: slabs, disks and washers, #1, 3, 5, 7, 17, 20, 27*, 28*, 29*, 30*, 36* |
M 4/249 |
§6.3 |
Volumes of solids of revolution: shells, #1, 3, 5, 11, 19, 20, 24 |
W 4/26 |
|
Review |
F 4/28 |
|
Review |
R 5/4 |
|
Final exam, 6:00-8:00 p.m., room tba |
Problems marked with a * are particularly interesting.