| 週次 |
授課內容 |
| 第1週 |
Introduction: Function
Four Ways to Represent a Function
Mathematical Models |
| 第2週 |
New Functions from Old Functions
Inverse Functions |
| 第3週 |
Limits:
The Limit of a Function
|
| 第4週 |
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
|
| 第5週 |
Continuity
Limits at Infinity |
| 第6週 |
The Derivative:
Derivatives and Rates of Change |
| 第7週 |
The Derivatives as a Function |
| 第8週 |
Midterm Exam |
| 第9週 |
Differentiation Formulas
|
| 第10週 |
Derivatives of Trigonometric Function
The Chain Rule |
| 第11週 |
Implicit Differentiation
Derivatives of Logarithmic Functions
|
| 第12週 |
Applications of the Derivative:
Maximum and Minimum Values |
| 第13週 |
The mean value Theorem
How Derivatives Affect the Shape of a Graph
|
| 第14週 |
Indeterminate Forms and L’Hospital’s Rule |
| 第15週 |
Optimization Problems
Antiderivatives |
| 第16週 |
Final Exam
(The contents and progress of the class would be adjusted based on the class situation.) |
自主學習
內容 |
02.閱覽產業及學術相關多媒體資料
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