課程資訊
課程名稱
離散數學
Discrete Mathematics 
開課學期
107-2 
授課對象
電機工程學系  
授課教師
雷欽隆 
課號
EE2008 
課程識別碼
901E21100 
班次
02 
學分
2.0 
全/半年
半年 
必/選修
必修 
上課時間
星期二7,8(14:20~16:20) 
上課地點
博理112 
備註
本課程以英語授課。本系學生優先修習。
總人數上限:60人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1072EE2008_02 
課程簡介影片
 
核心能力關聯
核心能力與課程規劃關聯圖
課程大綱
為確保您我的權利,請尊重智慧財產權及不得非法影印
課程概述

1. Mathematical Reasoning
Logic, Proof methods, Inductive Proofs

2. Combinatorial Analysis
Summations, Countability, Probability, Combinatorics, Recurrences, Boolean Algebra

3. Discrete Structures
 Sets, Functions, Sequences, Permutations, Relations, Graphs, Trees, Finite-state Machines

4. Algorithms
 Orders of Growth, Complexity. Specification, Program verification

5. Application and modeling
Model of Computation
 

課程目標
1. To teach mathematical reasoning and problem solving rather than ad-hoc approaches so that students can think logically and mathematically

2. Guide students to learn how to attack problems

3. To help students develop the skills needed for their further studies. 
課程要求
Prerequisite:
None

Grading:
1. Homework Assignments 30 %
2. Midterm 30 %
3. Final exam 40 %
 
預期每週課後學習時數
 
Office Hours
每週一 11:00~12:00 
指定閱讀
 
參考書目
Textbook: Discrete Mathematics and Its Applications 8th Edition
Kenneth H. Rosen
McGraw-Hill, 2019 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
Week 1
2/19  OverviewPropositional Logic 
Week 2
2/26  Predicate Logic 
Week 3
3/5  Logic and Proofs 
Week 4
3/12  Basic Structures 
Week 5
3/19  Basic Structures
Homework #1 due 
Week 6
3/26  Algorithms 
Week 7
4/2  Study day (adjusted holiday) 
Week 8
4/9  Algorithms  
Week 9
4/16  Midterm Exam. 
Week 10
4/23  Algorithms, Number Theory 
Week 11
4/30  Homework #2 due
Number Theory 
Week 12
5/7  Number Theory & Cryptography 
Week 13
5/14  Induction  
Week 14
5/21  Counting
Homework #3 due 
Week 15
5/28  Counting / Advanced Counting 
Week 16
6/4  Advanced Counting, Relations 
Week 17
6/11  Relations, Graphs, Trees
Homework #4 due 
Week 18
6/18  Final Exam.