| 週次 |
授課內容 |
| 第1週 |
課程說明
The Limit of a Function
|
| 第2週 |
Calculating Limits Using the Limit Laws
Continuity. |
| 第3週 |
Derivatives and Rates of Change.
The Derivative as a Function.
|
| 第4週 |
Differentiation Formulas.
Derivatives of Trigonometric Functions.
|
| 第5週 |
The Chain Rule
Implicit Differentiation.
Linear Approximations and Differentials. |
| 第6週 |
Maximum and Minimum Values.
Monotonicity and Concavity. |
| 第7週 |
Limits at Infinity; Horizontal Asymptotes.
Graphing Functions |
| 第8週 |
Mid-term
|
| 第9週 |
The Mean Value Theorem
Optimization problems |
| 第10週 |
Antiderivatives and Integrals |
| 第11週 |
The Fundamental Theorem of Calculus. |
| 第12週 |
The Substitution Rule. |
| 第13週 |
Application of Integral:
Area; Volumes of Solids |
| 第14週 |
Application of Integral:
Volumes of Solids |
| 第15週 |
Final Exam |
| 第16週 |
課程含自主學習：由教學影片學習 |
自主學習
內容 |
02.閱覽產業及學術相關多媒體資料
由教學影片學習
Inverse Functions, Natural Logarithm Functions, Exponential Functions |