NTHU MATH 2810 - Probability (undergraduate level)

NTHU MATH 2810 - Probability (undergraduate level)

清華大學數學系機率論 (大學部課程)

Sep ~ Dec 2026

Notes

(Oct 27) 下周二(11/3)因舉行期中考無法上課。補課方式：將於10/30(周五)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。

(Oct 21) 期中考考古題及其解答。

(Oct 21) 期中考資訊及注意事項。

(Sep 08) 有關助教及其office hour的資訊，請見Syllabus。助教的office hour將由下周一(9/14)開始實施。

(Aug 21) Pre-course 01 & 02的影音檔，已放置於本課程網站。請修課同學在學期開始之前，先自行點閱觀看，以復習高中所學過的排列組合內容。開學後，這些內容將不會在上課時教授。

Syllabus
Lecture

Lecture Notes

Lecture Notes with Hand-Written Notices

Video

01
Introduction to Probability

Sep 08 (LNp.1-1 ~ 1-8)

(153 views)

(86 views)

02
Combinatorial Analysis

Pre-course (LNp.2-1 ~ 2-12)

(277 views)

(149 views)

03
Axioms of Probability

Sep 08 (LNp.3-1 ~ 3-3)

(133 views)

Sep 10 (LNp.3-3 ~ 3-11)

(134 views)

Sep 15 (LNp.3-12 ~ 3-21)

(108 views)

(101 views)

04
Conditional Probability, Bayes' Rule, and Independent

Sep 17 (LNp.4-1 ~ 4-7)

(119 views)

Sep 22 (LNp.4-7 ~ 4-16)

(77 views)

(69 views)

Sep 24 (LNp.4-16 ~ 4-24)

(96 views)

Sep 29 (LNp.4-24 ~ 4-30)

(74 views)

05 Discrete Random Variables Sep 29 (LNp.5-1 ~ 5-4)

(86 views)

Oct 01 (LNp.5-5 ~ 5-8)

(75 views)

Oct 06 (LNp.5-9 ~ 5-16)

(64 views)

(67 views)

Oct 08 (LNp.5-17 ~ 5-20)

(74 views)

Oct 13 (LNp.5-21 ~ 5-29)

(59 views)

(67 views)

Oct 15 (LNp.5-30 ~ 5-36)

(72 views)

Oct 20 (LNp.5-36 ~ 5-45)

(32 views)

(32 views)

06 Continuous Random Variables Oct 22 (LNp.6-1 ~ 6-4)

(31 views)

Oct 27 (LNp.6-5 ~ 6-14)

(10 views)

(11 views)

Oct 29 (LNp.6-15 ~ 6-18)

(1 views)

Nov 03 (LNp.6-19 ~ 6-26)

(2 views)

(3 views)

Assignment and solution

Homework Question Due Day Solution Grader

1
Ch 1. (Problems) #2, #7, #14, #18, #20, #31, #37, (Theoretical Exercises) #8.
Sep 22 Sol 洪光佑、王俞揚

2
Ch 2. (Problems) #3, #12, #16, #20, #25, #35, #40, #46, #54, #56.
Oct 01 Sol 呂心樂、徐瑋崙

3
Ch 3. (Problems) #16, #46, #48, #65, #67, #70, #81, #86, #89, #94.
Oct 13 Sol 張劭謙、蔡采陵

4
Ch 4. (Problems) #1, #14, #17, #20, #22, #39, (Theoretical Exercises) #2, #4, #5, #7.
Oct 22 Sol 洪光佑、王俞揚

5
Ch 4. (Problems) #49, #59, #63, #77, #81, (Theoretical Exercises) #20, #21, #26, #28, #36.
Oct 29 Sol 呂心樂、徐瑋崙

Notes
(Oct 27)	下周二(11/3)因舉行期中考無法上課。補課方式：將於10/30(周五)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。
(Oct 21)	期中考考古題及其解答。
(Oct 21)	期中考資訊及注意事項。
(Sep 08)	有關助教及其office hour的資訊，請見Syllabus。助教的office hour將由下周一(9/14)開始實施。
(Aug 21)	Pre-course 01 & 02的影音檔，已放置於本課程網站。請修課同學在學期開始之前，先自行點閱觀看，以復習高中所學過的排列組合內容。開學後，這些內容將不會在上課時教授。

	Lecture Notes	Lecture Notes with Hand-Written Notices	Video
01	Introduction to Probability	Sep 08 (LNp.1-1 ~ 1-8)	(153 views)	(86 views)
02	Combinatorial Analysis	Pre-course (LNp.2-1 ~ 2-12)	(277 views)	(149 views)
03	Axioms of Probability	Sep 08 (LNp.3-1 ~ 3-3)	(133 views)
		Sep 10 (LNp.3-3 ~ 3-11)	(134 views)
		Sep 15 (LNp.3-12 ~ 3-21)	(108 views)	(101 views)
04	Conditional Probability, Bayes' Rule, and Independent	Sep 17 (LNp.4-1 ~ 4-7)	(119 views)
		Sep 22 (LNp.4-7 ~ 4-16)	(77 views)	(69 views)
		Sep 24 (LNp.4-16 ~ 4-24)	(96 views)
		Sep 29 (LNp.4-24 ~ 4-30)	(74 views)
05	Discrete Random Variables	Sep 29 (LNp.5-1 ~ 5-4)	(86 views)
		Oct 01 (LNp.5-5 ~ 5-8)	(75 views)
		Oct 06 (LNp.5-9 ~ 5-16)	(64 views)	(67 views)
		Oct 08 (LNp.5-17 ~ 5-20)	(74 views)
		Oct 13 (LNp.5-21 ~ 5-29)	(59 views)	(67 views)
		Oct 15 (LNp.5-30 ~ 5-36)	(72 views)
		Oct 20 (LNp.5-36 ~ 5-45)	(32 views)	(32 views)
06	Continuous Random Variables	Oct 22 (LNp.6-1 ~ 6-4)	(31 views)
		Oct 27 (LNp.6-5 ~ 6-14)	(10 views)	(11 views)
		Oct 29 (LNp.6-15 ~ 6-18)	(1 views)
		Nov 03 (LNp.6-19 ~ 6-26)	(2 views)	(3 views)

Homework	Question	Due Day	Solution	Grader
1	Ch 1. (Problems) #2, #7, #14, #18, #20, #31, #37, (Theoretical Exercises) #8.	Sep 22	Sol	洪光佑、王俞揚
2	Ch 2. (Problems) #3, #12, #16, #20, #25, #35, #40, #46, #54, #56.	Oct 01	Sol	呂心樂、徐瑋崙
3	Ch 3. (Problems) #16, #46, #48, #65, #67, #70, #81, #86, #89, #94.	Oct 13	Sol	張劭謙、蔡采陵
4	Ch 4. (Problems) #1, #14, #17, #20, #22, #39, (Theoretical Exercises) #2, #4, #5, #7.	Oct 22	Sol	洪光佑、王俞揚
5	Ch 4. (Problems) #49, #59, #63, #77, #81, (Theoretical Exercises) #20, #21, #26, #28, #36.	Oct 29	Sol	呂心樂、徐瑋崙