| 週次 |
授課內容 |
| 第1週 |
Derivative: Limits, Continuity (Feb.20) |
| 第2週 |
Derivative: Rates of Change, Definition of the Derivative (Feb.27) |
| 第3週 |
Calculating the Derivative:
Techniques for Finding Derivatives, Derivatives of Products and Quotients(Mar.6)(Online Class) |
| 第4週 |
Calculating the Derivative:
The Chain Rule, Derivatives of Exponential Functions and Logarithmic Functions (Mar.13) |
| 第5週 |
Midterm 1 (Mar.20) |
| 第6週 |
Applications of the Derivative:
Absolute Extrema, Applications of Extrema, Implicit Differentiation (Mar.27) |
| 第7週 |
Holiday(Children’s day, no class)(Apr.3) |
| 第8週 |
Applications of the Derivative: Related Rates, Differentials
Integration: Anti-derivatives,(Apr.10) |
| 第9週 |
Integration: Substitution, Area and the Definite Integral (Apr.17) |
| 第10週 |
Integration:
The Fundamental Theorem of Calculus, The Area Between Two Curves, Numerical Integration (Apr.24) |
| 第11週 |
Midterm 2 (May 1) |
| 第12週 |
Further Techniques and Applications of Integration:
Integration by Parts, Volume and Average Value (May 8) |
| 第13週 |
Further Techniques and Applications of Integration:Improper Integrals
Multivariable Calculus:Functions of Several Variables (May 15) |
| 第14週 |
Multivariable Calculus:
Partial Derivatives, Maxima and Minima (May 22) |
| 第15週 |
Multi-variable Calculus:
Lagrange Multipliers, Total Differentials and Approximations, Double Integrals (May 29) |
| 第16週 |
Final (June 5) |
| 第17週 |
Self-directed learning:Solve the problems which will be given in class (June 12) |
| 第18週 |
Self-directed learning:Solve the problems which will be given in class (June 19) |