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 19) 作業總成績、期末考成績、學期總成績的成績統計。
  (Dec 17) 期末考解答。
  (Dec 08)

下周二(12/16)因期末考無法上課。補課方式：將於12/12(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。

提醒: 下周四(12/18)仍會上課，課後會發回期末考答案卷。
  (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(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 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)

(370 views)

(148 views)
02

 Combinatorial Analysis

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

(372 views)

(207 views)
03

 Axioms of Probability

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

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

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

(172 views)

(111 views)
04

 Conditional Probability, Bayes' Rule, and Independent

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

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

(130 views)

(132 views)
Sep 18 (LNp.4-16 ~ 4.24)

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

(108 views)
05

 Discrete Random Variables

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

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

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

(169 views)

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

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

(167 views)

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

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

(129 views)

(114 views)
06

 Continuous Random Variables

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

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

(146 views)

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

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

(145 views)

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

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

(91 views)

(109 views)
07

 Jointly Distributed Random Variables

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

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

(113 views)

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

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

(91 views)

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

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

(78 views)

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

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

(73 views)

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

(96 views)
Dec 09 (LNp.8-15 ~ 8-22)

(62 views)

(59 views)
——— Content below this line is NOT included in the final exam ———
Dec 11 (LNp.8-23 ~ 8-27)

(34 views)
Dec 16 (LNp.8-27 ~ 8-37)

(22 views)

(22 views)
Dec 18 (LNp.8-38 ~ 8-41)

(23 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 sol 李友棣、黃子維
10

Ch 7.  (Problems) #5, #9, #21, #41, #42, #47, #49, #53, #57, #70, #79, #82;  (Theoretical Exercises) #6, #18, #52. (Note: 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 (old) (new)

侯秉逸、張劭謙、呂心樂

徐瑋崙、李友棣、黃子維