NTHU MATH 2810 - Probability (undergraduate level)

清華大學 數學系 機率論 (大學部課程)

Sep 2023 ~ Jan 2024

Notes
  (Jan 14)  作業總成績,期末考成績,學期總成績及成績統計。
  (Jan 14)  期末考解答。
  (Dec 27)  期末考考古題及其解答。
  (Dec 27)  期末考資訊及注意事項。
  (Dec 04)  12/19(周二)上課日，因授課老師需參加國際會議，停課一天。補課方式：將於12/18前，把以往錄製之二小時上課影音檔，放置於課程網頁上，供同學們觀看學習。
  (Nov 26)  期中考解答及成績統計。
  (Nov 06)  期中考考古題及其解答。
  (Nov 06)  期中考資訊及注意事項。
  (Oct 04)  明天上課日(10/5)，因小犬颱風來襲，停班停課一天。補課方式：將於10/5前，把以往錄製之一小時上課影音檔，放置於課程網頁上，供同學們觀看學習。
  (Oct 03)  下周二上課日(10/10)，適逢國慶日，學校放假一天。補課方式：將於10/9前，把以往錄製之二小時上課影音檔，放置於課程網頁上，供同學們觀看學習。
  (Sep 21)  下周四上課日(9/28)，適逢教師節，學校停課一次。補課方式：將於9/28前，把以往錄製之一小時上課影音檔，放置於課程網頁上，供同學們觀看學習。
  (Sep 14)  有關助教及其office hour的資訊，請見Syllabus。
 

Lecture Notes

Lecture Notes with Hand-Written Notices

Video
01

 Introduction to Probability

Sep 12

(1210 views)

(425 views)
02

 Combinatorial Analysis 

Sep 14

(478 views)
Sep 19

(342 views)
03

 Axioms of Probability

Sep 19

(395 views)
Sep 21

(360 views)
Sep 26

(328 views)

(280 views)
04

 Conditional Probability, Bayes' Rule, and Independent 

Sep 28

(424 views)
Oct 03

(268 views)

(186 views)
Oct 05

(231 views)
Oct 10

(242 views)

(671 views)
05

 Discrete Random Variables 

Oct 12

(339 views)
Oct 17

(241 views)

(241 views)
Oct 19

(211 views)
Oct 24

(212 views)

(180 views)
Oct 26

(226 views)
Oct 31

(180 views)

(140 views)
Nov 02

(158 views)
06  Continuous Random Variables Nov 07

(196 views)

(168 views)
Nov 09

(169 views)
Nov 14

(185 views)

(190 views)
Nov 16

(179 views)
Nov 23

(151 views)
Nov 28

(111 views)

(108 views)
07

 Jointly Distributed Random Variables

Nov 30

(170 views)
Dec 05

(139 views)

(137 views)
Dec 07

(201 views)
Dec 12

(176 views)

(178 views)
Dec 14

(149 views)
Dec 19

(152 views)

(134 views)
Dec 21

(136 views)
08

 Properties of Expectation 

Dec 26

(124 views)

(78 views)
Dec 28

(104 views)
Jan 02

(92 views)

(80 views)
Jan 04

(117 views)
Extra

(98 views)

(79 views)

(76 views)
Homework Question Due Day Solution Grader
1

Ch 1. (Problems) #4, #10, #17, #22, #23, #24, #31, #32, #34, #36.

 Sep 28 Sol 廖翊廷,陳郁霖
2

Ch 2. (Problems) #5, #13, #17, #26, #28, #37, #40, #45, #48, #54.

 Oct 12 Sol (corrected) 黃佳盈,許漢邦
3

Ch 3. (Problems) #14, #27, #31, #46, #48, #60, #63, #68, #89, #94.

 Oct 24 Sol (corrected) 洪梓瑋,陳郁霖
4

Ch 4. (Problems) #12, #14, #17, #20, #26, #39, (Theoretical Exercises) #3, #4, #5, #7.

 Nov 07 Sol 廖翊廷,許漢邦
5

Ch 4. (Problems) #49, #59, #63, #77, #81, (Theoretical Exercises) #20, #21, #26, #28, #36.

 Nov 16 Sol (corrected) 黃佳盈,洪梓瑋
6

Ch 5. (Problems) #4, #7, #9, #12, #13, #38, #39, #43, (Theoretical Exercises) #2, #5.

 Nov 28 Sol 廖翊廷,陳郁霖
7

Ch 5. (Problems) #18, #24, #26, #29, #30, #31, #34, (Theoretical Exercises) #13, #15, #31.

 Dec 12 Sol 洪梓瑋, 陳郁霖
8

Ch 6. (Problems) #1, #7, #10, #13, #19, #20, #26, (Theoretical Exercises) #11, #24, (Self-Test Problems) #4.

 Dec 26 Sol 許漢邦,黃佳盈
9

Ch 6. (Problems) #14, #27, #30, #42, #43, #45, (Theoretical Exercises) #17, #22, #32, #36.

 Jan 04 Sol 廖翊廷,陳郁霖
10

Ch 7.  (Problems) #5, #9, #21, #41, #42, #47, #49, #53, #57, #70;  (Theoretical Exercises) #6, #18.

(Problems highlighted in blue are not within the scope of the final exam.)

此作業不計分

無需繳交

(no need to turn in this HW)

 Sol 黃佳盈,許漢邦