| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| Cultivate students the methods and calculations of differential and integral as well as the basic of mathematical concepts. |
| 1.Basic Knowledge in Mathematical Sciences |
| 8.English Language Ability |
|
|
|
| Assignment |
| Quiz |
| Attendance |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Introduction
1. Functions |
| Week 2 |
Limits
2. Introduction to Limits |
| Week 3 |
3. Limits at Infinity |
| Week 4 |
4. Continuity of Functions
|
| Week 5 |
The Derivative
5. Rules of Finding Derivatives |
| Week 6 |
6. Derivatives of Trigonometric Functions |
| Week 7 |
7. The Chain Rule
|
| Week 8 |
8. Higher-Order Derivatives |
| Week 9 |
9. Midterm Exam
|
| Week 10 |
10. Implicit Differentiation |
| Week 11 |
Applications of the Derivative
11. Maxima and Minima |
| Week 12 |
12. Local Extrema and Extrema on Open Intervals |
| Week 13 |
13. The mean value Theorem for Derivatives
|
| Week 14 |
14. How Derivatives Affect the Shape of a Graph |
| Week 15 |
15. Optimization Problems |
| Week 16 |
16. Indeterminate Forms and L'Hospital's Rule |
| Week 17 |
17. Antiderivatives |
| Week 18 |
18. Final Exam
(The contents and progress of the class would be adjusted based on the class situation.) |
|
| Evaluation |
Attendance and performance: 25%
Homework: 15%
Midterm Exam: 30%
Final Exam: 30% |
| Textbook & other References |
1. James Stewart, Calculus, 7th ed.
2. James Stewart, Calculus(Early Transcendentals), 8th ed. |
| Teaching Aids & Teacher's Website |
| 無 |
| Office Hours |
| 暫定 |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|