| Week |
Course Content |
| Week 1 |
Functions and Limits:
The Limit of a Function 1.5
|
| Week 2 |
Calculating Limits Using the Limit Laws 1.6
|
| Week 3 |
The Precise Definition of a Limit 1.7
Continuity 1.8
小考：1.5-1.6
|
| Week 4 |
Derivatives: Derivatives and Rates of Change 2.1
The Derivative as a Function 2.2
|
| Week 5 |
Differentiation Formulas 2.3
Derivatives of Trigonomtric Functions & The Chain Rule 2.4-2.5
小考：1.7-2.1
|
| Week 6 |
Implicit Differentiation 2.6
Related Rates & Linear Approximations and Differentials 2.8-2.9
|
| Week 7 |
Applications of Differentiation: Maximum and Minimum Values 3.1
|
| Week 8 |
期中考
The Mean-Value Theorem & How Derivatives Affect the Shape of a Graph 3.2-3.3
Limits at Infinity; Horizontal Asymptotes 3.4
|
| Week 9 |
Summary of Curve Sketching & Optimization Problems 3.5-3.7
Newton’s Method & Antiderivatives 3.8-3.9
|
| Week 10 |
Integrals: Areas and Distances 4.1
The Definite Integral 4.2
|
| Week 11 |
The Fundamental Theorem of Calculus 4.3
Indefinite Integrals and the Net Change Theorem 4.4
|
| Week 12 |
The Substitution Rule 4.5
|
| Week 13 |
Applications of Integration: Areas Between Curves 5.1
Volumes 5.2
|
| Week 14 |
Volumes by Cylindrical Shells & Inverse Functions: Inverse Functions 5.3-6.1
The Natural Logarithmic Functions 6.2
|
| Week 15 |
The Natural Exponential Function & General Logarithmic and Exponential Functions & Exponential Growth and Decay 6.3-6.5
|
| Week 16 |
期末考
|
self-directed
learning |
01.Participation in professional forums, lectures, and corporate sharing sessions related to industry-government-academia-research exchange activities.
02.Viewing multimedia materials related to industry and academia.
|