校際選修

115-1 選課時程

進行中

  • 初選第一階段 6/15/2026
  • 初選第二階段 6/22/2026
  • 校際選修 8/24/2026
  • 初選第三階段 8/31/2026
  • 開學後加退選 9/7/2026
  • 逾期加退選 9/21/2026
選課資源

離散數學

Discrete Mathematics

學期
111-2
學分
3 學分
當期課號
516708
永久課號
SCMA10026
開課單位
應用數學系
授課教師
翁志文
校區
光復
類別
必修
上課時間表
週一
週四
3
10:10–11:00
離散數學
SA320
2 節連堂
4
11:10–12:00
7
15:30–16:20
離散數學
SA320

* 根據陽明交大上課時間表所列

概述

Discrete Mathematics serves as the mathematical foundation of Computer Science and is the counterpart of Calculus. Systematic technique of counting, enumerating, arranging and identification of subsets of a finite set and basic theory of Theoretical Computer Sciences will be introduced in this course.

先修科目

Calculus I, Linear Algebra I

教學方式

Use ppt and e3 system.

評分方式

appearance and weekly web quizzes: 20% appearance in TA class and homeworks 20% midterm 30% final 30%

課程大綱
  • 1. Permutations, Combinations, and Combinatorial Reasoning
  • 2. The Pigeonhole Principle and Inclusion-Exclusion Principle
  • 3. Generating Functions
  • 4. Recurrence Relations and Special Counting Sequences
  • 5. Asymptotics
  • 6. Language, Grammar, Automata and Turing Machines
  • 7. Trees, Prüfer codes, and Minimum Spanning Trees
週次計畫
週次主題
第 16 週1. Permutations, Combinations, and Combinatorial Reasoning 2. The Pigeonhole Principle and Inclusion-Exclusion Principle 3. Generating Functions 4. Recurrence Relations and Special Counting Sequences 5. Asymptotics 6. Language, Grammar, Automata and Turing Machines 7. Trees, Prüfer codes, and Kruskal’s Algotithm
第 16 週1. Permutations, Combinations, and Combinatorial Reasoning 2. The Pigeonhole Principle and Inclusion-Exclusion Principle 3. Generating Functions 4. Recurrence Relations and Special Counting Sequences 5. Asymptotics 6. Language, Grammar, Automata and Turing Machines
教科書

Lecture Notes will be provided. The following book is for the purpose of English reading ability training only: 1. Mathematical Thinking, Problem-Solving and Proofs by John P. D'Angelo and Douglas B. West (Chapters 4, 9, 10, 11, 12) 2. Discrete Mathematics with Applications by Susanna S. Epp (Chapters 11, 12) 3. Introductory Combinatorics by Richard A. Brualdi

Office Hours
地點
SA 350
時間
Send an e-mail to me to make appointment or any time when you find me in my office.
聯絡方式
weng@math.nctu.edu.tw (03)5731610