NTHU MATH 2810 - Probability

清華大學 數學系 機率論

Sep 2016 ~ Jan 2017


Notes

 (Jan 23) 第八套投影片(Properties of Expectation)在學期中未教完的部份,影音檔已放置於課程網站上。有興趣的同學可於寒假時撥空點閱學習。
 (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
 (Jan 05) Extra office hour before final exam: time, 1/9 (monday) 1~5 PM; location: 綜合三館 room 818.
 (Jan 05) 對第八套投影片(Properties of Expectation)本學期未能教完的部份,將於寒假時錄製影音檔,放置於課程網站上。有興趣的同學可於寒假時撥空點閱學習。
 (Dec 28) 期末考考古題及其解答
 (Dec 28) 期末考資訊及注意事項
 (Dec 01) 停課及補課事宜: 因授課老師將參加國際會議,1215日(周四)停課一次。補課方式:該日將於課程網站上,放置一小時影音檔,以供同學們點閱學習。
 (Nov 24) 期中考解答成績統計
 (Nov 15) 梅姬颱風補課方式:將於11/22(周二),於課程網站上,放置一小時影音檔,以供同學們點閱學習。
 (Nov 10) 期中考考古題及其解答
 (Nov 10) 期中考資訊及注意事項
 (Sep 26) 梅姬颱風補課方式:將於9/27(周二),於課程網站上,先放置一小時影音檔,以供同學們點閱學習。
 (Sep 26) 因梅姬颱風來襲,927日(周二)停課一次,將會擇期補課。
 (Sep 19) 有關助教及其office hour的資訊, 請見Syllabus
 (Sep 12) 中秋節放假補課方式:將於9/15(周四),於課程網站上,放置一小時影音檔,以供同學們點閱學習。
 (Sep 12) 本周四上課日(9/15),適逢中秋節放假,停課一次。

 

Lecture Notes

Lecture Notes with Hand-Written Notices

Video

01

 Introduction to Probability

Sep 13

(video 1) (video 2)

02

 Combinatorial Analysis

Sep 15 (中秋節補課)

(video)

Sep 20 (video)
03

 Axioms of Probability

Sep 20 (video)
Sep 22 (video)
Sep 27 (梅姬颱風補課) (video)
Sep 29 (video)
04

 Conditional Probability, Bayes' Rule, and Independent (part 1) (part 2)

Oct 04 (video 1) (video 2)
Oct 06 (video)
Oct 11  (video 1) (video 2)
Oct 13 (video)
05

 Discrete Random Variables (part 1) (part 2) (part 3) (part 4)

Oct 18 (video 1) (video 2)
Oct 20 (video)
Oct 25 (video 1) (video 2)
Oct 27 (video)
Nov 01 (video 1) (video 2)
Nov 03 (video)
Nov 08 (video)
06

 Continuous Random Variables (part 1) (part 2) (part 3)

Nov 08 (video)
Nov 10 (video)
Nov 15 (video 1) (video 2)
Nov 17 

(video)

(影音檔不完整)

Nov 22 (梅姬颱風補課) (video)
Nov 24 (video)
Nov 29 (video 1) (video 2)
07

 Jointly Distributed Random Variables (part 1) (part 2) (part 3) (part 4)

Dec 01 (video)
Dec 06 (video 1) (video 2)
Dec 08 (video)
Dec 13

(video 1) (vodeo 2)

(部份影音檔不完整)

Dec 15 (補課) (video)
Dec 20 (video 1) (video 2)
Dec 22 (video)
08

 Properties of Expectation (part 1) (part 2) (part 3)

Dec 27 (video 1) (video 2)
Dec 29

(video)

(影音檔不完整)

Jan 03 (video 1) (video 2)
Jan 05 (video)
Extra 01 (video)
Extra 02 (video)
Extra 03 (video)
HW Questions Due Day Solution Grader
1

Ch 1. (Problems) #4, #10, #15, #20, #21, #22, #28, #29, #31, #33.

Oct 06 sol 林子傑, 陳以臻, 張嘉君
2

Ch 2. (Problems) #5, #13, #17, #25, #28, #37, #40, #45, #48, #54.

Oct 18 sol (corrected) 張嘉君, 曹立綸, 陳瑞河
3

Ch 3. (Problems) #13, #25, #29, #44, #46, #55, #58, #63, #86, #90.

Oct 27 sol 陳瑞河, 林子傑, 陳以臻
4

Ch 4. (Problems) #12, #13, #17, #20, #26, #38; (Theoretical Exercises) #3, #4, #5, #7.

Nov 08 sol (corrected) 曹立綸, 陳以臻, 張嘉君
5

Ch 4. (Problems) #48, #56, #60, #74, #78; (Theoretical Exercises) #19, #20, #25, #27, #35.

Nov 17 sol 曹立綸, 陳瑞河, 林子傑
6

Ch 5. (Problems) #4, #7, #9, #12, #13, #37, #38, #41; (Theoretical Exercises) #2, #5.

Dec 06 sol 林子傑, 陳以臻, 張嘉君
7

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

Dec 13 sol (corrected) 張嘉君, 曹立綸, 陳瑞河
8

Ch 6. (Problems) #1, #7, #9, #11, #18, #19, #20, #26; (Theoretical Exercises) #11, #24.

Dec 27 sol 陳瑞河, 林子傑, 陳以臻
9

Ch 6. (Problems) #14, #27, #30, #38, #41; (Theoretical Exercises) #14, #17, #22, #31 [Note. It should be X(n+1)=1, not X(n+1)=t.], #35.

Jan 03 sol (revised)  
10

Ch 7. (Problems) #5, #9, #21, #39, #40, #45, #47, #51, #55, #65; (Theoretical Exercises) #5, #17. (blue colored problems are not included in final exam)

No need to turn in sol