Mathematics 123
Schedule
for Lecture Section F1: Fall,
2005
Sections refer to the textbook: Calculus: Concepts and Contexts by James Stewart, 2nd Edition.
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September |
6: |
Sec. 1.1, 1.3 |
Introductory Remarks: What is the Calculus? |
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8: |
Sec. 1.5, 1.6 |
Exponential Functions, Inverse Functions |
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13: |
Sec. 2.1
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Problems of Motion and Tangency |
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15: |
Sec. 2.2 - 2.4 |
The Concepts of Limit and Continuity |
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20: |
Sec. 2.5 |
Asymptotes and Limits Involving Infinity |
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22: |
Sec. 2.6 - 2.8 |
The Derivative as a Rate of Change |
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27: |
Sec. 2.9 - 2.10 |
The Meaning of a Derivative |
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29: |
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Review of Chapter 2 |
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October |
4: |
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In-class Exam I |
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6:
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Sec. 3.1 |
Differentiating Polynomials and Exponential
Functions |
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11: |
Sec. 3.2, 3.3 |
The Product and Quotient Rules, Rates of Change in the
Sciences |
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13: |
Sec. 3.4 |
Differentiating Trigonometric Functions |
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18: |
Sec. 3.5, 3.6 |
The Chain Rule, Implicit Differentiation |
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20: |
Sec. 3.7 |
Logarithmic Differentiation |
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25: |
Sec. 3.8 |
Linear Approximation and Chapter 3 Review |
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27: |
Sec. 4.1 |
Related Rates |
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November |
1: |
Sec. 4.2 |
Problems of Extrema |
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3: |
Sec. 4.3, 4.4 |
Curvature and Inflection Points, Curve
Sketching |
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8: |
Sec. 4.6, 4.7 |
Optimization Problems |
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10: |
Sec. 4.8 |
Newton's Method. |
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15: |
Sec. 4.8 |
Review of Chapter 4 |
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17: |
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In-class Exam II |
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22: |
Sec. 4.9, 5.1 |
Antiderivatives and Problems of Area and
Distance |
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24: |
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Fall Recess |
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29: |
Sec. 5.2, 5.3 |
The Definite Integral |
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December |
1: |
Sec. 5.4 |
The Fundamental Theorem of Calculus |
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6: |
Sec. 5.5 |
The Method of Substitution |
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8: |
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Review |
Final Exam: Saturday, December 17, CAS 222, 9:00 -11:00 AM