107年第1學期-5474 代數組合專題 課程資訊
課程分享
選課分析
本課程名額為 70人，已有6人選讀，尚餘名額64人。
評分方式
| 評分項目 | 配分比例 | 說明 |
|---|---|---|
| oral presentation | 50 | |
| written report | 50 |
教育目標
In algebraic combinatorics one associates algebraic objects like groups, rings and vector spaces to combinatorial objects in order to reveal more of their structure, therefore we introduce students in this class basic knowledge regarding algebraic tools and related combinatorial objects, and also directions for further research. More precisely, the following will be covered:
(1) elementary number theory, groups, rings, fields, and vector spaces;
(2) graphs, recurrences, generating functions, and enumeration principles;
(3) advanced combinatorics such as Mobius inversion formula, Polya theory of counting etc.;
(4) topics in algebraic graph theory;
(5) topics in algebraic combinatorics.
課程資訊
基本資料
選修課，學分數：3-0
上課時間：一/6,7,三/3[ST527]
修課班級：應數碩1,2
選課備註：全英語授課、大學部需經授課教師同意，大學部可抵專題
教師與教學助理
授課教師：王道明
大班TA或教學助理：尚無資料
Office HourMon. and Tue. 10-12 am or by appointment
Office: ST 621
授課大綱
授課大綱：開啟授課大綱(授課計畫表)
(開在新視窗)
參考書目
- Richard Stanley, Enumerative Combinatorics, Volume 1, Cambridge University Press
- Richard Stanley, Topics in Algebraic Combinatorics, MIT.
- Lecture Notes of the Instructor.