| Instructor: | 葉均承 |
|---|---|
| Email: | chunchenyeh [at] mail.nknu.edu.tw , 請在標題上輸入 " [專題] 姓名 " |
| Office: | MA714 |
| Office hour: | 二四 12:30-13:20, or by appointment |
| Textbook: | Richard P. Stanley, Enumerative Combinatorics (Volume 1), second edition 課本錯誤表（ERRATA） |
| Grade: |
作業：20% 參與互動：10% (暫定，最後效果不好就回歸期考) 期中考：35% 期末考：35% |
| 週 | 日期 | 範圍 | 作業 | 宣告 |
|---|---|---|---|---|
| 1 | 09/12 | Sec 1.1 How to Count | ||
| 2 | 09/19 |
Sec 1.1 How to Count, Sec 1.2 Sets and Multisets |
Ch1 題目, 答案 Ch1: 2(h), 3(a)(b)(g), 17, 35(a)(b), 169 |
注意題目有沒有要求用組合證明。
記得作業不能照抄解答，需要自己消化並加以解釋，計算題也請需要給出理由。 169(c)的答案應該是$\frac{36x^2-22x+4}{(1-4x)^{5/2}}$ |
| 3 | 09/26 |
Sec 1.2 Sets and Multisets, Sec 1.3 Cycles and Inversions |
Ch1: 23, 24, 43, 45 | |
| 4 | 10/03 |
Sec 1.3 Cycles and Inversions, Sec 1.4 Descents |
Ch1: 43, 60, 120, 124(a)(b), 127, | 127題等式右邊的第三項是($x_3+q+q^2$) |
| 5 | 10/10 | 放假 | ||
| 6 | 10/17 |
Sec 1.4 Descents, Sec 1.5 Geometric Representations of Permutations |
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| 7 | 10/24 |
Sec 1.5 Geometric Representations of Permutations, |
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| 8 | 10/31 | Sec 1.7 Permutations of multisets | ||
| 9 | 11/07 | 期中考 (範圍： ) | ||
| 10 | 11/14 |
Sec 1.8 Partition Identities, Sec 1.9 The Twelvefold Way |
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| 11 | 11/21 | Sec 1.9 The Twelvefold Way | ||
| 12 | 11/28 | Sec 1.9 The Twelvefold Way | ||
| 13 | 12/05 |
Sec 2.1 Inclusion-Exclusion, Sec 2.2 Examples and Special Cases |
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| 14 | 12/12 | Sec 2.3 Permutations with restricted Position | ||
| 15 | 12/19 | Sec 2.4 Ferrers Boards | 【期末學生教學意見回饋】開始填答 | |
| 16 | 12/26 | Sec 2.6 Involutions | ||
| 17 | 01/02 | Sec 2.7 Determinants | ||
| 18 | 01/09 | Final Exam (範圍： ) | ||