| Week |
Course Content |
| Week 1 |
1.1 Four Ways to Represent a Function
1.2 Mathematical Models: A Catalog of Essential Functions
1.3 New Functions from Old Functions |
| Week 2 |
1.5 The Limit of a Function
1.6 Calculating Limits Using the Limit Laws |
| Week 3 |
1.7 The Precise Definition of a Limit
1.8 Continuity |
| Week 4 |
2.1 Derivatives and Rates of Change
2.2 The Derivative as a Function
(Holiday) |
| Week 5 |
2.3 Differentiation Formulas
2.4 Derivatives of Trigonometric Functions
(Holiday) |
| Week 6 |
2.5 The Chain Rule
2.6 Implicit Differentiation |
| Week 7 |
2.8 Related Rates
2.9 Linear Approximations and Differentials
|
| Week 8 |
3.1 Maximum and Minimum Values
3.2 The Mean Value Theorem
Review |
| Week 9 |
Midterm
|
| Week 10 |
3.3 What Derivatives Tell Us about the Shape of a Graph
3.4 Limits at Infinity; Horizontal Asymptotes 237
|
| Week 11 |
3.5 Summary of Curve Sketching
3.7 Optimization Problems |
| Week 12 |
3.9 Antiderivatives
4.1 The Area and Distance Problems |
| Week 13 |
4.2 The Definite Integral
4.3 The Fundamental Theorem of Calculus
|
| Week 14 |
4.3 The Fundamental Theorem of Calculus
4.4 Indefinite Integrals and the Net Change Theorem |
| Week 15 |
4.5 The Substitution Rule
Review |
| Week 16 |
Final |
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
Self-learning:1.4, 2.7, 3.6, 3.8 |