| 週次 |
授課內容 |
| 第1週 |
週 單元名稱與內容
Limits of functions
|
| 第2週 |
The Sandwich theorem and continuous functions |
| 第3週 |
Continuity |
| 第4週 |
The rules for differentiation |
| 第5週 |
Chain rule and differentials |
| 第6週 |
Implicit and inverse function theorems |
| 第7週 |
The Minima and Maxima of continuous functions |
| 第8週 |
The mean value theorem and derivative tests |
| 第9週 |
Mid-term exam. |
| 第10週 |
The definition of definite integration |
| 第11週 |
Some theorems of definite integration |
| 第12週 |
Areas of regions between two curves and volumes of solids of revolution about the x-axis and the y-axis, respectively. |
| 第13週 |
Natural logarithm and exponential functions |
| 第14週 |
Applications of general exponential and logarithmic functions, L’Hospital’s rules |
| 第15週 |
Inverse trigonometric functions and hyperbolic functions |
| 第16週 |
Lengths of curves and areas of surfaces of revolution
Numerical integration
Final exam |
自主學習
內容 |
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