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 2025

Notes

(Dec 02) 期末考考古題及其解答。

(Dec 02) 期末考資訊及注意事項。

(Nov 02) 期中考解答及成績統計。

(Oct 22) 下周二(10/28)因舉行期中考無法上課。補課方式：將於10/24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 15) 期中考考古題及其解答。

(Oct 15) 期中考資訊及注意事項。

(Sep 04) 有關助教及其office hour的資訊，請見Syllabus。助教的office hour將由下周一(9/8)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 02 (LNp.1-1 ~ 1-8)

(304 views)

(117 views)

02
Combinatorial Analysis

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

(336 views)

(181 views)

03
Axioms of Probability

Sep 02 (LNp.3-1 ~ 3-3)

(155 views)

Sep 04 (LNp.3-3 ~ 3-11)

(209 views)

Sep 09 (LNp.3-12 ~ 3-21)

(154 views)

(101 views)

04
Conditional Probability, Bayes' Rule, and Independent

Sep 11 (LNp.4-1 ~ 4-7)

(166 views)

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

(121 views)

(120 views)

Sep 18 (LNp.4-16 ~ 4.24)

(128 views)

Sep 23 (LNp.4-24 ~ 4-30)

(97 views)

05
Discrete Random Variables

Sep 23 (LNp.5-1 ~ 5-4)

(153 views)

Sep 25 (LNp.5-5 ~ 5-8)

(164 views)

Sep 30 (LNp.5-9 ~ 5-16)

(163 views)

(133 views)

Oct 02 (LNp.5-17 ~ 5-20)

(138 views)

Oct 07 (LNp.5-21 ~ 5-29)

(161 views)

(152 views)

Oct 09 (LNp.5-30 ~ 5-36)

(166 views)

Oct 14 (LNp.5-36 ~ 5-45)

(125 views)

(109 views)

06
Continuous Random Variables

Oct 16 (LNp.6-1 ~ 6-4)

(132 views)

Oct 21 (LNp.6-5 ~ 6-14)

(130 views)

(107 views)

Oct 23 (LNp.6-15 ~ 6-18)

(104 views)

Oct 28 (LNp.6-19 ~ 6-26)

(118 views)

(97 views)

Oct 30 (LNp.6-27 ~ 6-31)

(100 views)

Nov 04 (LNp.6-32 ~ 6-43)

(71 views)

(84 views)

07
Jointly Distributed Random Variables

Nov 06 (LNp.7-1 ~ 7-5)

(80 views)

Nov 11 (LNp.7-6 ~ 7-16)

(82 views)

(69 views)

Nov 13 (LNp.7-17 ~ 7-24)

(82 views)

Nov 18 (LNp.7-24 ~ 7-37)

(55 views)

(48 views)

Nov 20 (LNp.7-37 ~ 7-44)

(63 views)

Nov 25 (LNp.7-44 ~ 7-54)

(45 views)

(34 views)

Nov 27 (LNp.7-55 ~ 7-60)

(39 views)

08 Properties of Expectation Dec 02 (LNp.8-1 ~ 8-9)

(24 views)

(16 views)

Dec 04 (LNp.8-10 ~ 8-14)

(32 views)

Assignment and solution

Homework Question Due Day Solution Grader

1
Ch 1. (Problems) #4, #10, #17, #22, #23, #24, #31, #32, #34, #36.
Sep 16 sol (corrected) 侯秉逸、張劭謙

2
Ch 2. (Problems) #5, #13, #17, #26, #28, #37, #40, #45, #48, #54.
Sep 25 sol 呂心樂、徐瑋崙

3
Ch 3. (Problems) #14, #27, #31, #46, #48, #60, #63, #68, #89, #94.
Oct 07 sol 李友棣、黃子維

4
Ch 4. (Problems) #12, #14, #17, #20, #26, #39, (Theoretical Exercises) #3, #4, #5, #7.
Oct 16 sol 侯秉逸、張劭謙

5
Ch 4. (Problems) #49, #59, #63, #77, #81, (Theoretical Exercises) #20, #21, #26, #28, #36.
Oct 23 sol 呂心樂、徐瑋崙

6
Ch 5. (Problems) #4, #7, #9, #12, #13, #38, #39, #43, (Theoretical Exercises) #2, #5.
Nov 06 sol 李友棣、黃子維

7
Ch 5. (Problems) #18, #24, #26, #29, #30, #31, #34, (Theoretical Exercises) #13, #15, #31.
Nov 18 sol 侯秉逸、張劭謙

8
Ch 6. (Problems) #1, #7, #10, #13, #19, #20, #26, (Theoretical Exercises) #11, #24, (Self-Test Problems) #4.
Nov 27 sol 呂心樂、徐瑋崙

9
Ch 6. (Problems) #14, #27, #30, #42, #43, #45, (Theoretical Exercises) #17, #22, #32, #36.
Dec 09

Notes
(Dec 02)	期末考考古題及其解答。
(Dec 02)	期末考資訊及注意事項。
(Nov 02)	期中考解答及成績統計。
(Oct 22)	下周二(10/28)因舉行期中考無法上課。補課方式：將於10/24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 15)	期中考考古題及其解答。
(Oct 15)	期中考資訊及注意事項。
(Sep 04)	有關助教及其office hour的資訊，請見Syllabus。助教的office hour將由下周一(9/8)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 02 (LNp.1-1 ~ 1-8)	(304 views)	(117 views)
02	Combinatorial Analysis	Pre-course (LNp.2-1 ~ 2-12)	(336 views)	(181 views)
03	Axioms of Probability	Sep 02 (LNp.3-1 ~ 3-3)	(155 views)
		Sep 04 (LNp.3-3 ~ 3-11)	(209 views)
		Sep 09 (LNp.3-12 ~ 3-21)	(154 views)	(101 views)
04	Conditional Probability, Bayes' Rule, and Independent	Sep 11 (LNp.4-1 ~ 4-7)	(166 views)
		Sep 16 (LNp.4-7 ~ 4-16)	(121 views)	(120 views)
		Sep 18 (LNp.4-16 ~ 4.24)	(128 views)
		Sep 23 (LNp.4-24 ~ 4-30)	(97 views)
05	Discrete Random Variables	Sep 23 (LNp.5-1 ~ 5-4)	(153 views)
		Sep 25 (LNp.5-5 ~ 5-8)	(164 views)
		Sep 30 (LNp.5-9 ~ 5-16)	(163 views)	(133 views)
		Oct 02 (LNp.5-17 ~ 5-20)	(138 views)
		Oct 07 (LNp.5-21 ~ 5-29)	(161 views)	(152 views)
		Oct 09 (LNp.5-30 ~ 5-36)	(166 views)
		Oct 14 (LNp.5-36 ~ 5-45)	(125 views)	(109 views)
06	Continuous Random Variables	Oct 16 (LNp.6-1 ~ 6-4)	(132 views)
		Oct 21 (LNp.6-5 ~ 6-14)	(130 views)	(107 views)
		Oct 23 (LNp.6-15 ~ 6-18)	(104 views)
		Oct 28 (LNp.6-19 ~ 6-26)	(118 views)	(97 views)
		Oct 30 (LNp.6-27 ~ 6-31)	(100 views)
		Nov 04 (LNp.6-32 ~ 6-43)	(71 views)	(84 views)
07	Jointly Distributed Random Variables	Nov 06 (LNp.7-1 ~ 7-5)	(80 views)
		Nov 11 (LNp.7-6 ~ 7-16)	(82 views)	(69 views)
		Nov 13 (LNp.7-17 ~ 7-24)	(82 views)
		Nov 18 (LNp.7-24 ~ 7-37)	(55 views)	(48 views)
		Nov 20 (LNp.7-37 ~ 7-44)	(63 views)
		Nov 25 (LNp.7-44 ~ 7-54)	(45 views)	(34 views)
		Nov 27 (LNp.7-55 ~ 7-60)	(39 views)
08	Properties of Expectation	Dec 02 (LNp.8-1 ~ 8-9)	(24 views)	(16 views)
		Dec 04 (LNp.8-10 ~ 8-14)	(32 views)

Homework	Question	Due Day	Solution	Grader
1	Ch 1. (Problems) #4, #10, #17, #22, #23, #24, #31, #32, #34, #36.	Sep 16	sol (corrected)	侯秉逸、張劭謙
2	Ch 2. (Problems) #5, #13, #17, #26, #28, #37, #40, #45, #48, #54.	Sep 25	sol	呂心樂、徐瑋崙
3	Ch 3. (Problems) #14, #27, #31, #46, #48, #60, #63, #68, #89, #94.	Oct 07	sol	李友棣、黃子維
4	Ch 4. (Problems) #12, #14, #17, #20, #26, #39, (Theoretical Exercises) #3, #4, #5, #7.	Oct 16	sol	侯秉逸、張劭謙
5	Ch 4. (Problems) #49, #59, #63, #77, #81, (Theoretical Exercises) #20, #21, #26, #28, #36.	Oct 23	sol	呂心樂、徐瑋崙
6	Ch 5. (Problems) #4, #7, #9, #12, #13, #38, #39, #43, (Theoretical Exercises) #2, #5.	Nov 06	sol	李友棣、黃子維
7	Ch 5. (Problems) #18, #24, #26, #29, #30, #31, #34, (Theoretical Exercises) #13, #15, #31.	Nov 18	sol	侯秉逸、張劭謙
8	Ch 6. (Problems) #1, #7, #10, #13, #19, #20, #26, (Theoretical Exercises) #11, #24, (Self-Test Problems) #4.	Nov 27	sol	呂心樂、徐瑋崙
9	Ch 6. (Problems) #14, #27, #30, #42, #43, #45, (Theoretical Exercises) #17, #22, #32, #36.	Dec 09