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Calculus and Its Applications (11th edition) by L.J. Goldstein, D.C. Lay, D.I. Schneider and N. Asmar
Study Guide with Selected Solutions, by Lay and Schneider, Prentice-Hall, 2004 (optional)
There will be three midterm exams, at least five quizzes, and one Final Exam. The final grade will be based on 750 points: midterm exams (450), quizzes (100), and final exam (200). The tentative cutoff scores are 685 (A), 620 (B), 555 (C), and 490 (D).
| 1.1: | The Slope of a Straight Line |
| 1.2: | The Slope of a Curve at a Point |
| 1.3: | The Derivative |
| 1.6: | Some Rules for Differentiation |
| 1.7: | More About Derivatives |
| 1.8: | The Derivative as a Rate of Change |
| 2.1: | Describing Graphs of Functions |
| 2.2: | The First and Second Derivative Rules |
| 2.3: | Curve Sketching (Introduction) |
| 2.4: | Curve Sketching (Conclusion) |
| 2.5: | Optimization Problems |
| 2.6: | Further Optimization Problems |
| 3.1: | The Product and Quotient Rules |
| 3.2: | The Chain Rule and the General Power Rule |
| 3.3: | Implicit Differentiation and Related Rates |
| 4.1: | Exponential Functions |
| 4.2: | The Exponential Function ex |
| 4.3: | Differentiation of Exponential Functions |
| 4.4: | The Natural Logarithm Function |
| 4.5: | The Derivative of ln x |
| 4.6: | Properties of the Natural Logarithm Function |
| 5.1: | Exponential Growth and Decay |
| 5.2: | Compound Interest |
| 6.1: | Antidifferentiation |
| 6.2: | Areas and Riemann Sums |
| 6.3: | Definite Integrals and the Fundamental Theorem |
| 6.4: | Areas in the xy-Plane |
| 6.5: | Applications of the Definite Integral |
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