| Day | Topic | Section | Recommended Problems/Sample Exams | Homework (* = extra credit) |
Due date (all homework due in class) |
|
| Sep 5 | Motivation Review: Functions |
Preview 1.1-1.4 |
skim the problems in Ch. 1 and make sure you can do all of them |
1.1 (2, 20, 24, 40, 53) 1.2 (4, 16, 19) 1.3 (27, 59, 63*) |
Sep 10 |
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|---|---|---|---|---|---|---|
| Sep 10 | Finish Review Tangent and Velocity |
1.5-1.6 2.1 |
2.1 (1, 9) |
1.5 (15, 19, 30) 1.6 (27, 58) 2.1 (2, 7) |
Sep 17 |
|
| Sep 12 | The Limit of a Function Limit Laws |
2.2 2.3 |
2.2 (8, 29, 40) 2.3 (22, 34) |
2.2 (5, 12, 28) 2.3 (2, 10, 13, 36) |
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| Sep 17 | Epsilon-Delta Definition of Limit Continuity |
2.4 2.5 |
2.4 (6, 13, 39) 2.5 (1, 3, 41) |
2.4 (1, 20, 32) 2.5 (4, 37, 42, 45) |
Sep 24 |
|
| Sep 19 | Limits at Infinity Derivatives |
2.6 2.7-2.8 |
2.6 (10, 27, 61) 2.7 (19, 24, 48) |
2.6 (3, 22, 36, 70*) 2.7 (6, 14, 28, 52*) |
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| Sep 24 |
Differentiation Rules: Polynomials, Exponential Functions Product and Quotient Rules | 3.1 3.2 |
2.8 (21, 49) 3.1 (42, 51, 74) 3.2 (3, 44, 58) |
2.8 (20, 24, 44) 3.1 (34, 50(a,b), 67) 3.2 (12, 14, 34) |
Oct 1
|
|
| Sep 26 |
Derivatives of Trigonometric Functions The Chain Rule |
3.3 3.4 |
3.3 (5, 31, 32) 3.4 (31, 48, 75) |
3.3 (10, 16, 39) 3.4 (12, 20, 26, 41) |
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| Oct 1 | Implicit Differentiation | 3.5 | 3.5 (34, 40) | 3.5 (23, 26, 50) | Oct 8
|
|
| Oct 3 |
Derivatives of Logarithmic Functions Exponential Growth and Decay |
3.6 3.8 |
3.6 (2, 23, 52) 3.8 (10, 16) |
3.6 (3, 25, 33, 45, 54*) 3.8 (12, 20(a,b)) |
||
| Oct 8 | Related Rates
Linear Approximation and Differentials | 3.9 3.10 |
3.9 (7, 18, 30) 3.10 (1, 2, 25) read "Laboratory Project" on Taylor Polynomials (p.253) |
3.9 (5, 16, 42) 3.10 (4, 28, 44) |
Oct 15
|
|
| Oct 10 | Hyperbolic Functions Review for First Midterm |
3.11 | 3.11 (31, 43) Notes on Induction |
3.11 (32, 44) | ||
| Oct 15 | First Midterm | Ch. 1 - Ch. 3 | Sample Midterm | Midterm Solutions | ||
| Oct 17 | Maximum and Minimum Values | 4.1 | 4.1 (29, 37, 49, 60) | 4.1 (7, 44, 47, 62) | Oct 29 |
|
| Oct 22 | The Mean Value Theorem Derivatives and the Shape of a Graph |
4.2 4.3 |
4.2 (25, 29, 32) 4.3 (11, 27, 73, 78) |
4.2 (14, 17, 27) 4.3 (10, 15, 21, 47) |
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| Oct 24 | L'Hospital's Rule | 4.4 | 4.4 (5, 30, 69) | 4.4 (13, 46, 52, 60) | Nov 7 |
|
| Oct 29 | Curve Sketching | 4.5 | 4.5 (7, 11, 54) | 4.5 (22, 31, 32) | ||
| Oct 31 | Optimization Newton's Method |
4.7 4.8 |
4.7 (13, 22, 40) 4.8 (7, 40) |
4.7 (11, 18, 38, 41) 4.8 (5, 8) |
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| Nov 5 | no class: University holiday | |||||
| Nov 7 | Antiderivatives Areas and Distances The Definite Integral |
4.9 5.1 5.2 |
4.9 (11, 36, 37, 43) 5.1 (18, 19, 22) 5.2 (18, 22, 23, 36) |
4.9 (9, 12, 15, 34, 46) 5.1 (4, 17, 20) 5.2 (7, 17, 21, 34) | Nov 14
|
|
| Nov 12 | The Fundamental Theorem of Calculus | 5.3 | 5.3 (8, 19, 38, 53, 74) | 5.3 (2, 7, 14, 29, 41) | ||
| Nov 14 | Review for Second Midterm | Ch. 4 & 5.1-5.3 | ||||
| Nov 19 | Second Midterm | Ch. 4 & 5.1-5.3 | Sample Midterm | Midterm Solutions | ||
| Nov 21 | no class | |||||
| Nov 26 | Indefinite Integrals and Net Change Substitution Rule Notes |
5.4 5.5 |
5.4 (11, 17, 27, 51) 5.5 (3, 9, 23, 29, 43) |
5.4 (12, 30, 32, 44, 47) 5.5 (4, 5, 22, 30, 69) |
Dec 3 |
|
| Nov 28 | Areas between Curves Volume |
6.1 6.2 |
6.1 (16, 17) 6.2 (7, 31, 65) |
6.1 (6, 27, 31, 47*) 6.2 (3, 6, 50) |
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| Dec 3 | Volumes by Cylindrical Shells | 6.3 | 6.3 (11, 19, 45) | 6.3 (14, 18, 42, 43) | Dec 10
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| Dec 5 | Average Value of a Function | 6.5 | 6.5 (3, 4, 13) | 6.5 (5, 10, 23*) | ||
| Dec 10 | Review for final | everything | Sample Final (5.4-6.5) | Solutions | ||
| Dec 12 | Review for final, 6-8pm, Math 520 office hours (as usual) 5-6pm |
everything | Sample Cumulative Final | |||
| Dec 13 | (additional) office hours 3-4pm | |||||
| Dec 17 | (additional) office hours 4-6pm | |||||
| Dec 17 | FINAL, 7:10-10:00pm, Hamilton 303 (note room change) |
Solutions to Final Exam |