| 週次 |
授課內容 |
| 第1週 |
Introduction
1. Functions |
| 第2週 |
Limits
2. Introduction to Limits |
| 第3週 |
3. Limits at Infinity |
| 第4週 |
4. Continuity of Functions
|
| 第5週 |
The Derivative
5. Rules of Finding Derivatives |
| 第6週 |
6. Derivatives of Trigonometric Functions |
| 第7週 |
7. The Chain Rule
|
| 第8週 |
8. Higher-Order Derivatives |
| 第9週 |
9. Midterm Exam
|
| 第10週 |
10. Implicit Differentiation |
| 第11週 |
Applications of the Derivative
11. Maxima and Minima |
| 第12週 |
12. Local Extrema and Extrema on Open Intervals |
| 第13週 |
13. The mean value Theorem for Derivatives
|
| 第14週 |
14. How Derivatives Affect the Shape of a Graph |
| 第15週 |
15. Optimization Problems |
| 第16週 |
6. Indeterminate Forms and L'Hospital's RuleϹ. AntiderivativesϺ. Final Exam
(The contents and progress of the class would be adjusted based on the class situation.) |
自主學習
內容 |
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