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Math 1540 Calculus I |
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Spring 2012 |
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Dr. Bob Brown |
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| Required homework is given in
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| Jan 16 | 2.1 |
Rates of Change and Tangents to Curves |
| 2.2 |
Limit of a Function and Limit Laws |
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| 2.3 | The precise definition of a limit | |
| Jan 23 | 2.4 |
One-Sided Limits |
| 2.5 |
Continuity |
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| 2.6 |
Limits Involving Infinity; Asymptotes of Graphs |
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| Jan 30 |
Quiz 1 Review |
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Quiz 1 |
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| Feb 6 | 3.1 | Tangents and the Derivative at a Point |
| 3.2 |
The Derivative as a Function |
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| 3.3 |
Differentiation Rules |
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| Feb 13 | 3.4 |
The Derivative as a Rate of Change |
| 3.5 |
Derivatives of Trigonometric Functions |
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| 3.6 | The Chain Rule | |
| Feb 20 | 3.7 |
Implicit Differentiation |
| 3.8 |
Derivatives of Inverse Functions and Logarithms |
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| 3.9 |
Inverse Trigonometric Functions |
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| Feb 27 | 3.10 |
Related Rates |
| 3.11 |
Linearization and Differentials |
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| Mar 5 |
Quiz 2 Review |
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Quiz 2 |
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| Mar 19 | 4.1 |
Extreme Values of Functions |
| 4.2 |
The Mean Value Theorem |
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| 4.3 |
Monotonic Functions and the First Derivative Test |
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| Mar 26 | 4.4 |
Concavity and Curve Sketching |
| 4.5 |
Indeterminate Forms and L’Hˆopital’s Rule |
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| Apr 2 | 4.6 |
Applied Optimization Rule |
| 4.8 |
Antiderivatives |
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| Apr 9 | Quiz 3 Review | |
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Quiz 3 |
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| Apr 16 |
5.1 5.2 |
Area and Estimating with Finite Sums |
| 5.3 |
The Definite Integral , |
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| Apr 23 | 5.4 |
The Fundamental Theorem of Calculus |
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5.5 5.6 |
Indefinite Integrals and the Substitution Rule |
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| Apr 30 |
Review Quiz 4 |
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Quiz 4 |
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| May 7 | Final Exam 1:45pm – 3:45pm Thursday May 10 | |