| Week |
Course Content |
| Week 1 |
課程說明
The Limit of a Function
|
| Week 2 |
Calculating Limits Using the Limit Laws
Continuity. |
| Week 3 |
Derivatives and Rates of Change.
The Derivative as a Function.
|
| Week 4 |
Differentiation Formulas.
Derivatives of Trigonometric Functions.
|
| Week 5 |
The Chain Rule
Implicit Differentiation.
Linear Approximations and Differentials. |
| Week 6 |
Maximum and Minimum Values.
Monotonicity and Concavity. |
| Week 7 |
Limits at Infinity; Horizontal Asymptotes.
Graphing Functions |
| Week 8 |
Mid-term
|
| Week 9 |
The Mean Value Theorem
Optimization problems |
| Week 10 |
Antiderivatives and Integrals |
| Week 11 |
The Fundamental Theorem of Calculus. |
| Week 12 |
The Substitution Rule. |
| Week 13 |
Application of Integral:
Area; Volumes of Solids |
| Week 14 |
Application of Integral:
Volumes of Solids |
| Week 15 |
Final Exam |
| Week 16 |
課程含自主學習：由教學影片學習 |
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
由教學影片學習
Inverse Functions, Natural Logarithm Functions, Exponential Functions |