數學系機率導論 (星期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:

   1 Motivation and overview. Review of probability and statistics.

2 Combinational analysis. Probability theory.

3 Conditional probability and independence.

4 Random variables

5 Discrete random variables I

6 Discrete random variables II

7 Discrete random variables III

8 Midterm Exam

9 Continuous random variables I

10 Continuous random variables II

11 Continuous random variables III

12 Jointly distributed random variables I

13 Jointly distributed random variables II

14 Properties of expectation I

15 Properties of expectation II

16 Final Exam

17週 由學生閱讀論文自主學習

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

: 2.P.56 表示: Chapter 2 Problem question number 56

: 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