離散數學 Fall 2025

Wednesday 13:30-16:20, MA804

課程資訊

Instructor: 葉均承
Email: chunchenyeh [at] mail.nknu.edu.tw , 請在標題上輸入 " [離散] 姓名 "
Office: MA714
Office hour: 二四 12:30-13:20, or by appointment
Textbook: Richard A. Brualdi, Introductory Combinatorics
Grade: 作業:30%
期中考:35%
期末考:35% 期末考成績不到十分者,必定不會過!
匿名非官方課堂意見調查 (這是給老師自己看的)

額外補充

日程表

日期 範圍 作業 宣告
1 09/10 課程介紹
Ch1 What Is Combinatorics?,
Ch2 Permutations and Combinations (2-1, 2-2)
2 09/17 Ch2 Permutations and Combinations (2-3 ~ 2-5) ch 1:1
ch 2:4(a), 15, 21, 32, 38, 41, 43
(Due: 09/24)
注意:作業是計算證明題,沒有過程或解釋的一率沒分!
3 09/24 Ch3 The Pigeonhole Principle (3-1, 3-2) Ch 3: 5, 7, 10, 12, 15, 27
(Due 10/01)
作業請繳交到 google classroom
4 10/01 Ch4 Generating Permutations and Combinations, (4-1 ~ 4-3) Ch 4: 1, 4, 6, 7, 8, 15
(Due 10/08)
5 10/08 Ch4 Generating Permutations and Combinations, (4-3, 4-4)
Ch 5 The Binomial Coefficients (5-1)
Ch 4: 24, 28, 33
Ch 5: 6, 7, 11
(Due: 10/15)
6 10/15 Ch 5 The Binomial Coefficients (5-2 ~ 5-4) Ch 5: 8, 15, 20 (due: 10/22)
Ch 5: 23, 28, 39 (練習就好)
7 10/22 Ch6 The Inclusion-Exclusion Principle and Applications (6-1 ~ 6-3) Ch 6: 3, 6, 11, 14, 16, 21 (練習就好) 本週作業不用交
8 10/29 Exam (範圍: 1-1 ~ 6-2) **會考證明題 (solution)
9 11/05 Ch6 The Inclusion-Exclusion Principle and Applications (6-3 ~ 6-4) Ch7 Recurrence Relations and Generating Functions (7-1) Ch 6: 16, 24
Ch 7: 3(c), 4 (de: 11/19)
10 11/12 颱風假
11 11/19 Ch7 Recurrence Relations and Generating Functions (7-2, 7-4) Ch 7: 8, 11, 13, 14, 17, 33 (Due 11/26)
12 11/26 Ch7 Recurrence Relations and Generating Functions (7-4, 7-5) Ch 7: 15, 34, 36, 43, 47, 53 (Due:12/03)
13 12/03 Ch7 Recurrence Relations and Generating Functions (7-5, 7-3)
Ch8 Special Counting Sequences (8-1)
Ch 7: 23, 27, 30, 32, 40
Ch 8: 1 (Due: 12/10)
14 12/10 Ch8 Special Counting Sequences (8-1) Ch 8: 5, 6, 7, 8, 11 (Due: 12/17)
15 12/17 Ch8 Special Counting Sequences (8-2) Ch 8: 11, 12, 15, 17, 19
16 12/24 Exam (範圍: 6-3 ~ 8-2) **會考證明題 (solution)
17 12/31 彈性教學
18 01/07 彈性教學