Calculus I
MATH 1241 Syllabus
Text: Calculus: Context & Concepts, by James Stewart
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Week 1: |
1.1 |
Four Ways to Represent a Function |
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1.2 |
Math Modeling |
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1.3 |
New Functions from Old Functions |
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Week 2: |
1.4 |
Graphing Calculators and Computers |
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1.5 |
Exponential Functions |
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1.6 |
Inverse Functions and Logarithms |
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Week 3: |
1.7 |
Parametric Curves |
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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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Week 4 |
2.3 |
Calculating Limits Using the Limit Laws |
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2.4 |
Continuity |
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2.5 |
Limits Involving Infinity |
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Week 5: |
Review |
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First Test |
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2.6 |
Tangents, Velocities, and Other Rates of Change |
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Week 6: |
2.7 |
Derivatives |
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2.8 |
The Derivative of a Function |
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2.9 |
Linear Approximations |
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Week 7: |
2.10 |
What does f' say about f ? |
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3.1 |
Derivatives of Polynomials and Exponential Functions |
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3.2 |
The Product and Quotient Rules |
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Week 8 |
3.3 |
Rates of Change in the Natural and Social Sciences |
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3.4 |
Derivatives of Trigonometric Functions |
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3.5 |
The Chain Rule |
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Week 9 |
3.6 |
Implicit Differentiation |
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3.7 |
Derivatives of Logarithmic Functions |
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3.8 |
Linear Approximations and Differentials |
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Week 10 |
Review |
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Second Test |
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4.1 |
Related Rates |
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Week 11 |
4.2 |
Maximum and Minimum Values |
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4.3 |
Derivatives and the Shape of Curves |
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4.4 |
Graphing with Calculus and Calculators |
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Week 12 |
4.5 |
Indeterminate Forms and l’Hôspital’s Rule |
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4.6 |
Optimization Problems |
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4.6 |
Optimization Problems (continued) |
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Week 13 |
4.8 |
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4.9 |
Antiderivatives |
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Review |
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Week 14 |
Third Test |
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Catch-up |
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Review for the Common Final Exam |
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