| Week |
Course Content |
| Week 1 |
1.4 The Tangent and Velocity Problems
1.5 The Limit of a Function
1.6 Calculating Limits Using the Limit Laws |
| Week 2 |
1.7 The Precise Definition of a Limit
1.8 Continuity |
| Week 3 |
2.1 Derivatives and Rates of Change
2.2 The Derivative as a Function
2.3 Differentiation Formulas |
| Week 4 |
2.4 Derivatives of Trigonometric
2.5 Chain Rule
2.6 Implicit Differentiation |
| Week 5 |
2.9 Linear Approximations and Differentials
3.1 Maximum and Minimum Values,
3.2 The Mean Value Theorem |
| Week 6 |
3.3 How Derivatives Affect the Shape of a Graph
小考1 |
| Week 7 |
3.4 Limits at infinity
3.5 Curve Sketching
3.7 Optimization Problems |
| Week 8 |
3.8 Newton’s Method
3.9 Antiderivatives
4.1 The Area and Distance Problems |
| Week 9 |
4.2 The Definite Integral
4.3 The Fundamental Theorem of Calculus
|
| Week 10 |
4.4 Indefinite Integrals and the Net Change Theorem
4.5 The Substitution Rule
|
| Week 11 |
5.1 Areas between Curves
5.2 Volumes |
| Week 12 |
6.1 Inverse Functions and Their Derivatives
小考2 |
| Week 13 |
6.2* The Natural Logarithmic Function
6.3* The Natural Exponential Function
6.4* General Logarithmic And Exponential Function |
| Week 14 |
6.2 Exponential Functions and Their Derivatives
6.3 Logarithmic Function
6.6 Inverse Trigonometric Functions
6.4 Derivatives of Logarithmic Functions |
| Week 15 |
6.7 Hyperbolic Functions
6.8 Indeterminate Forms and L’Hopital Rule
|
| Week 16 |
期末考
觀賞積分技巧相關影片 |
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
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