| Week |
Course Content |
| Week 1 |
Functions and Limits: The Limit of a Function 1.5
Calculating Limits Using the Limit Laws 1.6 |
| Week 2 |
The Precise Definition of a Limit 1.7
Continuity 1.8 |
| Week 3 |
Derivatives: Derivatives and Rates of Change 2.1
The Derivative as a Function 2.2 |
| Week 4 |
Differentiation Formulas 2.3
Derivatives of Trigonometric Functions 2.4
The Chain Rule 2.5 |
| Week 5 |
Quiz1
Implicit Differentiation 2.6
Linear Approximations and Differentials 2.9 |
| Week 6 |
Applications of Differentiation: Maximum and Minimum Values 3.1
The Mean-Value Theorem 3.2
How Derivatives Affect the Shape of a Graph 3.3 |
| Week 7 |
Limits at Infinity; Horizontal Asymptotes 3.4
Summary of Curve Sketching 3.5 |
| Week 8 |
Optimization Problems 3.7
Antiderivatives 3.9 |
| Week 9 |
Midterm Exam |
| Week 10 |
Integrals: Areas and Distances 4.1
The Definite Integral 4.2
The Fundamental Theorem of Calculus 4.3 |
| Week 11 |
Indefinite Integrals and the Net Change Theorem 4.4
The Substitution Rule 4.5 |
| Week 12 |
Applications of Integration: Areas Between Curves 5.1
Volumes 5.2
Volumes by Cylindrical Shells 5.3 |
| Week 13 |
Quiz2
Inverse Functions: Inverse Functions 6.1
The Natural Logarithmic Functions 6.2 |
| Week 14 |
The Natural Exponential Function 6.3
General Logarithmic and Exponential Functions 6.4
Exponential Growth and Decay 6.5 |
| Week 15 |
Inverse Trigonometric Functions 6.6
Indeterminate Forms and l’Hospital’ 6.8 |
| Week 16 |
Final Exam
|
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.
05.Participation in various workshops organized by different departments of NCHU.
|