| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
(中) 使學生對抽象數學有所認識，並學習如何有系統，有條理的整理數學。
(Eng.)This course will improve the knowledge of students on abstract mathematic. Students can learn how to systematize and deal with mathematic. |
| 2.Professional Knowledge in Mathematical Analysis |
| 8.English Language Ability |
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| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Introduction to rings |
| Week 2 |
Introduction to integral domains |
| Week 3 |
Introduction to fields |
| Week 4 |
Factorization of polynomials |
| Week 5 |
Fermat’s and Euler’s theorems |
| Week 6 |
Ordered rings and fields |
| Week 7 |
Ideals of a ring |
| Week 8 |
Homomorphisms and Factor rings |
| Week 9 |
UFD |
| Week 10 |
Euclidean Domain |
| Week 11 |
Gaussian integers and norms |
| Week 12 |
Introduction to extension fields |
| Week 13 |
Algebra extension |
| Week 14 |
Introduction to integral domains |
| Week 15 |
Various extension theorems and Galois Theory |
| Week 16 |
Test |
self-directed
learning |
03.Preparing presentations or reports related to industry and academia.
|
|
| Evaluation |
| 點名、測驗、習題 |
| Textbook & other References |
A First Course in Abstract Algebra，John B. Fraleigh, Addison Wesley Longman, 歐亞書局
講義 |
| Teaching Aids & Teacher's Website |
|
| Office Hours |
| 星期五 16:00~17:00 |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
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