數學系機率導論 (星期四 09:10-12:10
C002)
教師：張少同 schang@math.ntnu.edu.tw
公告事項： http://math.ntnu.edu.tw/~schang/
教科書：Ross, S. (2020). A First Course in Probability, Pearson, 10th edition.
一、教學目標:
1. 理解機率的基本概念及常用之機率分布的性質與其應用
2. 提升研究問題與解題的能力
3. 了解如何應用機率及相關方法到其他議題
二、教材內容及進度規劃：
第1週 Motivation and overview. Review of
probability and statistics.
第2週 Combinational analysis. Probability theory.
第3週 Conditional probability and independence.
第4週 Random variables
第5週 Discrete random variables I
第6週 Discrete random variables II
第7週 Discrete random variables III
第8週 Midterm Exam
第9週 Continuous random variables I
第10週 Continuous random variables II
第11週 Continuous random variables III
第12週 Jointly distributed random variables I
第13週 Jointly distributed random variables II
第14週 Properties of expectation I
第15週 Properties of expectation II
第16週 Final Exam
第17週 由學生閱讀論文自主學習
第18週 由學生閱讀論文自主學習
三、實施方式：
1. 演講與討論
四、評量標準與成績計算方式：
1. 期中考(30%)： 04/07
2. 期末考(30%)：
06/02
3. 作業(10%)
4. 小考(20%)：03/24,
05/19
5. 出席率+課堂討論參與(10%)
五、參考書目：
1. Ross, S. (2020). A First Course in Probability, Pearson, 10th edition.
2. Papoulis and Pillai(2002). Probability, Random Variables
and Stochastic Processes, Mc Graw Hill, 4th edition
3. Rice, J. A. (1995). Mathematical Statistics and Data Analysis, 2nd edition..
六、作業
說明: P: Problems, T: Theoretical Exercises, S: Self-Test Problems and Exercises
例: 2.P.56 表示: Chapter 2 Problem question number 56
例: 2.T.8 表示: Chapter 2 Theoretical Exercise question number 8
3/03: 2.P.56, 2.T.8, 2.S.14, 2.S.15
3/10: 3.P.30, 3.P.64, 3.P.89, 3.T.1
3/17: 4.P.3, 4.P.6, 4.P.7, 4.P.10, 4.P.14
3/24: 4.P.25, 4.T.5, 4.T.10, 4.T.15, 4.P.50
4/21: 5.P.15, 5.P.28, 5.T.2, 5.T.8, 7.T.49
4/28: 5.P.31, 5.P.35, 5.P.41, 5.T.30
5/05: 5.T.21, 5.T.22, 6.P.18, 6.P.21
5/12: 6.P.38, 6.P.42, 6.P.44, 6.T.2
5/19: 6.P.36, 6.P.52, 6.T.20, 6.S.20
七、成績
|
學號末四碼 |
點名 |
期末考 |
學期成績 |
備註 |
|
329S |
14 |
144 |
A+ |
|
|
126S |
15 |
162 |
A+ |
|
|
218S |
15 |
154 |
A+ |
|
|
210S |
15 |
98 |
A+ |
|
|
204S |
15 |
105 |
A+ |
|
|
215S |
14 |
121 |
A |
|
|
206S |
14 |
130 |
A |
|
|
209S |
15 |
118 |
A |
|
|
111S |
14 |
118 |
A |
|
|
210S |
14 |
103 |
A |
|
|
106S |
14 |
95 |
A |
|
|
231S |
14 |
140 |
A |
|
|
307S |
8 |
138 |
A |
|
|
109S |
14 |
115 |
A- |
|
|
201S |
15 |
76 |
A- |
|
|
205S |
15 |
103 |
A- |
|
|
215S |
15 |
96 |
A- |
|
|
306S |
14 |
111 |
A- |
|
|
103S |
8 |
155 |
A- |
|
|
114S |
11 |
118 |
A- |
|
|
128S |
13 |
108 |
A- |
|
|
001H |
15 |
105 |
A- |
|
|
226S |
12 |
96 |
B+ |
|
|
304S |
14 |
88 |
B+ |
|
|
321S |
13 |
102 |
B+ |
|
|
230S |
14 |
127 |
B+ |
小考請假 |
|
217S |
15 |
98 |
B+ |
|
|
223S |
13 |
60 |
B+ |
|
|
325S |
13 |
108 |
B+ |
|
|
113S |
15 |
86 |
B+ |
|
|
117S |
13 |
108 |
B+ |
|
|
216S |
13 |
83 |
B+ |
|
|
128S |
14 |
118 |
B+ |
|
|
227S |
7 |
128 |
B+ |
|
|
309S |
15 |
78 |
B+ |
|
|
313S |
12 |
143 |
B |
|
|
105S |
14 |
68 |
B |
|
|
214S |
14 |
74 |
B |
|
|
203S |
12 |
128 |
B |
|
|
318S |
11 |
118 |
B |
|
|
330S |
12 |
81 |
B |
|
|
208S |
15 |
95 |
B |
|
|
214S |
13 |
80 |
B |
|
|
115S |
13 |
78 |
B- |
|
|
318S |
15 |
71 |
B- |
|
|
109S |
14 |
75 |
B- |
|
|
320S |
13 |
80 |
B- |
|
|
105S |
14 |
90 |
B- |
|
|
331S |
7 |
115 |
B- |
|
|
050A |
12 |
55 |
B- |
|
|
021S |
15 |
29 |
B- |
|
|
330S |
12 |
79 |
B- |
|
|
132S |
11 |
55 |
B- |
|
|
202S |
7 |
68 |
C+ |
|
|
213S |
7 |
68 |
C |
|
|
219S |
3 |
88 |
C- |
|
|
232S |
5 |
0 |
E |
|
|
908S |
6 |
0 |
E |
|
|
316S |
5 |
0 |
E |
退選 |
|
207S |
4 |
0 |
E |
退選 |