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1/22-1/26 |
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Administrative Information |
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2.1 |
The Tangent and Velocity Problems |
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2.2 |
The Limit of a Function |
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2.3 |
Calculating Limits Using the Limit Laws |
| 2 |
1/28-2/1 |
2.4 |
The Precise Definition of a Limit |
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2.5 |
Continuity |
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2.6 |
Limits at Infinity; Horizontal Asymptotes |
| 3 |
2/4-2/8 |
2.7 |
Derivatives and Rates of Change |
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2.8 |
The Derivative as a Function |
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3.1 |
Derivatives of Polynomials and Exponential Functions |
| 4 |
2/11-2/15 |
3.2 |
The Product and Quotient Rules |
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W Discussion |
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Midterm Exam 1 (2.1-2.8, 3.1) |
| 5 |
2/18-2/22 |
3.3 |
Derivatives of Trigonometric Functions |
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3.4 |
The Chain Rule |
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3.5 |
Implicit Differentiation |
| 6 |
2/25-3/1 |
3.6 |
Derivatives of Logarithmic Functions |
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3.8 |
Exponential Growth and Decay |
| 7 |
3/4-3/8 |
3.9 |
Related Rates |
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3.10 |
Linear Approximations and Differentials |
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4.8 |
Newton’s Method |
| 8 |
3/11-3/15 |
4.1 |
Maximum and Minimum Values |
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W Discussion |
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Midterm Exam 2 (3.2-3.6, 3.8-3.10 and 4.8) |
| 9 |
3/18-3/22 |
No Class |
Spring Break |
| 10 |
3/25-3/29 |
4.2 |
Mean Value Theorem |
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4.3 |
How Derivatives Affect the Shape of a Graph |
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4.4 |
Indeterminate Forms and l’Hospital’s Rule |
| 11 |
4/1-4/5 |
4.7 |
Optimization Problems |
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4.9 |
Antiderivatives |
| 12 |
4/8-4/12 |
5.1 |
Areas and Distances |
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5.2 |
The Definite Integral |
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5.3 |
The Fundamental Theorem of Calculus |
| 13 |
4/15-4/19 |
5.4 |
Indefinite Integrals and the Net Change Theorem |
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W Discussion |
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Midterm Exam 3 (4.1-4.4, 4.7, 4.9 and 5.1-5.3) |
| 14 |
4/22-4/26 |
5.5 |
The Substitution Rule |
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6.1 |
Areas Between Curves |
| 15 |
4/29-5/3 |
6.2 |
Volumes |
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Review |
| 16 |
5/6-5/10 |
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Finals Week |