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National Taiwan Normal University Course Outline Spring , 2023 |
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| I.Course information |
| Serial No. | 2641 | Course Level | Undergraduate / Master |
| 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 | Mon. 6-8 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) | EU, Sen-Peng/ 游森棚 | ||
| Schedule | |||
(1) We will introduce missalaneous topics in enumerative and algebraic combinatorics. Include 1. basic counting (12 ways of counting and its combinatorial models) 2. important sequences and their combinatorial/algebraic aspects 3. various structures (e.g. parking functions, plane partitions, graphs, etc) (2) Each week we will introduce a topic, with 2-3 do-able exercises and some potential small projects (if there is). The goal of this course is to have a rough picture of enumerative combinatorics, appreciate these topics, and come up with an independent projects of your own. |
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| Instructional Approach | |||
| Methods | Notes | ||
| Formal lecture | 上課講解 | ||
| Group discussion | 討論 | ||
| Problem-based learning | 問題解決 | ||
| Cooperative learning | 合作學習 | ||
| Case studies | 學生專題報告 | ||
| Grading assessment | |||
| Methods | Percentage | Notes | |
| Class discussion involvement | 30 % | 課堂討論參與 | |
| Attendances | 30 % | 準時出席討論 | |
| Case study reports | 40 % | 期末專題報告 | |
| Required and Recommended Texts/Readings with References | No required books. Handouts will be distributed. |
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