| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| 了解級數、函數列、 R^n上的拓樸、收歛、微分性質及賦距空間 |
| 1.Basic Knowledge in Mathematical Sciences |
| 2.Professional Knowledge in Mathematical Analysis |
| 8.English Language Ability |
|
|
|
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Series
|
| Week 2 |
Series |
| Week 3 |
Series/Series of functions
|
| Week 4 |
Series of functions
Quiz 1 |
| Week 5 |
Series of functions |
| Week 6 |
Series of functions/Euclidean spaces
|
| Week 7 |
Euclidean spaces
Quiz 2 |
| Week 8 |
Midterm exam/ Euclidean spaces
|
| Week 9 |
Euclidean spaces/Convergence in R^n
|
| Week 10 |
Convergence in R^n
|
| Week 11 |
Convergence in R^n
|
| Week 12 |
Convergence in R^n/Metric space
Quiz 3 |
| Week 13 |
Metric space
|
| Week 14 |
Metric space
|
| Week 15 |
Differentiability on R^n
Quiz 4 |
| 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.
05.Participation in various workshops organized by different departments of NCHU.
|
|
| Evaluation |
Quiz 32
Midterm 35
Final exam 35 |
| Textbook & other References |
教科書：Introduction to Analysis, W. R. Wade, Pearson, 歐亞書局
參考書目：
1. W. Rudin, Principles of Mathematical Analysis.
2. T.M. Apostol, Mathematical Analysis.
3. J. E. Marsden and M. J. Hoffman, Elementary Classical Analysis. |
| Teaching Aids & Teacher's Website |
|
| Office Hours |
| 25, 456 |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|