| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| 培養學生的分析能力及推理能力，並作為學習其他高深數學及應用數學之基礎。 |
| 1.Basic Knowledge in Mathematical Sciences |
| 2.Professional Knowledge in Mathematical Analysis |
| 8.English Language Ability |
|
|
| Discussion |
| Other |
| Lecturing |
|
| Attendance |
| Quiz |
| Internship |
| Other |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Chapter 1. Set Theory
|
| Week 2 |
Chapter 1. Set Theory
|
| Week 3 |
Chapter 2. Real and Complex Numbers Systems
|
| Week 4 |
Chapter 2. Real and Complex Numbers Systems
|
| Week 5 |
Chapter 3. Metric Spaces
|
| Week 6 |
Chapter 4. Continuous Functions
|
| Week 7 |
Chapter 4. Continuous Functions
|
| Week 8 |
Chapter 5. Spaces
|
| Week 9 |
Chapter 5. Spaces
|
| Week 10 |
Chapter 6. Sequences and Series (Contains the convergences of function sequences and function series.)
|
| Week 11 |
Chapter 6. Sequences and Series (Contains the convergences of function sequences and function series.)
|
| Week 12 |
Chapter 7. Differentiation
|
| Week 13 |
Chapter 7. Differentiation
|
| Week 14 |
Chapter 8. The Riemann-Stieltjes Integral
|
| Week 15 |
Chapter 8. The Riemann-Stieltjes Integral
|
| Week 16 |
Chapter 9. Some Special Topics (Contains convex functions, inequalities, Stirling's formula, approximation theorem, Fourier series)
Chapter 9. Some Special Topics (Contains convex functions, inequalities, Stirling's formula, approximation theorem, Fourier series)
Chapter 10. Functions of Several Variables
|
self-directed
learning |
|
|
| Evaluation |
主要學習評量方式如下：
1. 三次考試佔 100% (第三次為期末考，比重相等)
2. 缺課男生超過三次，女生超過四次，每次扣總平均 1%。
3. 上台做習題，每題加總平均 1%(作對且不含撞題者)
4. 平時成績 15%(助教)。
5. 其他規定課堂上公佈
|
| Textbook & other References |
教科書(講義)：Lecture Notes on Mathematical Analysis.
主要參考書包含
1. Pinciples of Mathematical Analysis, 3ed 作者： Walter Rudin
2. Mathematical Analysis, 2nd ed. 作者：Tom M. Apostol,
3. 其他(含期刊論文等)
|
| Teaching Aids & Teacher's Website |
| 無 |
| Office Hours |
| 暫定 |
| Sustainable Development Goals, SDGs(Link URL) |
| | include experience courses：N |
|