| 週次 |
授課內容 |
| 第1週 |
Derivative: Limits, Continuity |
| 第2週 |
Derivative: Rates of Change, Definition of the Derivative
|
| 第3週 |
Derivative: Graphical Differentiation
Calculating the Derivative: Techniques for Finding Derivatives |
| 第4週 |
Calculating the Derivative: Derivatives of Products and Quotients, The Chain Rule |
| 第5週 |
Midterm 1 |
| 第6週 |
Calculating the Derivative: Derivatives of Exponential Functions and Logarithmic Functions |
| 第7週 |
Holiday(Children’s Day) |
| 第8週 |
Online class: Applications of the Derivative: Absolute Extrema, Applications of Extrema, Implicit Differentiation |
| 第9週 |
Applications of the Derivative: Related Rates, Differentials |
| 第10週 |
Integration: Anti-derivatives, Substitution |
| 第11週 |
Integration: Area and the Definite Integral, The Fundamental Theorem of Calculus |
| 第12週 |
Midterm 2
|
| 第13週 |
Integration: The Area Between Two Curves, Numerical Integration
Further Techniques and Applications of Integration: Integration by Parts |
| 第14週 |
Further Techniques and Applications of Integration: Volume and Average Value, Improper Integrals
|
| 第15週 |
Multivariable Calculus: Functions of Several Variables, Partial Derivatives |
| 第16週 |
Online class:Multi-variable Calculus: Maxima and Minima, Lagrange Multipliers |
| 第17週 |
Multi-variable Calculus: Total Differentials and Approximations, Double Integrals |
| 第18週 |
Final |