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National Taiwan Normal University Course Outline Spring , 2021 |
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| I.Course information |
| Serial No. | 2743 | Course Level | |
| Course Code | MAC9025 | Chinese Course Name | 組合數學（IB） |
| Course Name | Combinatorics Mathematics (IB) | ||
| Department | Department of Mathematics | ||
| Two/one semester | 1 | Req. / Sel. | Sel. |
| Credits | 3.0 | Lecturing hours | Lecture hours: 3 |
| Prerequisite Course | |||
| Comment | |||
| Course Description | |||
| Time / Location | Tue. 2-4 Gongguan MA3-10 | ||
| Curriculum Goals | Corresponding to the Departmental Core Goal | ||
| 1. Solving applications by using counting skills. |
College: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-5 Being able to use mathematics as tools to learn other subjects Master: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-5 Being able to use mathematics as tools to learn other subjects |
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| 2. Using combinatorics to solve problems in related fields. |
College: 1-5 Being able to use mathematics as tools to learn other subjects Master: 1-5 Being able to use mathematics as tools to learn other subjects |
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| 3. Transferring between models in combinatorics. |
College: 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity Master: 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity |
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| II. General Syllabus |
| Instructor(s) | CHENG, Yen-Jen/ 鄭硯仁 | ||
| Schedule | |||
本課程介紹組合數學的觀念、工具及技巧，適合修過離散數學的同學修習。在課堂中亦會讓同學進行數學的嘗試及探索，並分組進行專題炭討。主要教授內容涉及組合數學中的建構法及演算法，一開始介紹如何將討論的對象確實描述及列舉出來，這有助於我們對此對象的了解並能以此了解一箱性質。接著介紹如何透過'操作'及'建構'得到各種性質，包含如何藉由對應來證明兩種不同結構數量相等，以及如何建構組合模型以證明代數等式。
註：本課程中一定比例以英語授課。 |
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| Instructional Approach | |||
| Methods | Notes | ||
| Formal lecture | 上課講解 | ||
| Group discussion | 討論 | ||
| Problem-based learning | 提出問題，介紹解決工具 | ||
| Case studies | 學生專題報告 | ||
| Grading assessment | |||
| Methods | Percentage | Notes | |
| Assignments | 20 % | ||
| Midterm Exam | 20 % | ||
| Class discussion involvement | 20 % | ||
| Case study reports | 40 % | 期末專題報告 | |
| Required and Recommended Texts/Readings with References |
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