Math 180A Calendar, Winter 2022

Week Monday Tuesday Wednesday Thursday Friday
1
 Jan 3
Topic 1
 Jan 4
Discussion Sections
 Jan 5
Topic 2
 Jan 6 Jan 7
Topic 3
Homework 1 due
2
 Jan 10
Topics 3-4
 Jan 11
Discussion Sections
 Jan 12
Topics 4-5
 Jan 13 Jan 14
Topics 5-6
Homework 2 due
3
 Jan 17
No Class
 Jan 18
Discussion Sections
 Jan 19
Topic 6
 Jan 20 Jan 21
Topic 7
Homework 3 due
4
 Jan 24
Topics 7-8
 Jan 25
Discussion Sections
 Jan 26
Topic 9
 Jan 27 Jan 28
Topic 10
Homework 4 due
5
 Jan 31
Exam 1
 Feb 1
Discussion Sections
 Feb 2
Topic 11
 Feb 3 Feb 4
Topic 12
Homework 5 due
6
 Feb 7
Topic 13
 Feb 8
Discussion Sections
 Feb 9
Topics 13-14
 Feb 10 Feb 11
Topic 15
Homework 6 due
7
 Feb 14
Topic 16
 Feb 15
Discussion Sections
 Feb 16
Topic 17
 Feb 17 Feb 18
Topic 18
Homework 7 due
8
 Feb 21
No Class
 Feb 22
Discussion Sections
 Feb 23
Topic 19
 Feb 24 Feb 25
Topics 19-20
Homework 8 due
9
 Feb 28
Exam 2
 Mar 1
Discussion Sections
 Mar 2
Topic 21
 Mar 3 Mar 4
Topic 22
Homework 9 due
10
 Mar 7
Topics 22-23
 Mar 8
Discussion Sections
 Mar 9
Topic 23
 Mar 10 Mar 11
Topic 23
Homework 10 due
11 Mar 14  Mar 15  Mar 16  Mar 17  Mar 18
Final Exam
3:00-6:00 PM

Course Topics

Below is a list of the topics that will be covered in Math 180A, together with references to the relevant sections in the textbooks A First Course in Probability by Ross, Elementary Probability for Applications by Durrett, and Introduction to Probability by Anderson, Seppäläinen, and Valko (ASV).

The book by Durrett can be viewed here through the UC San Diego library. Instructions for setting up a VPN account so that you can access the library web site from off campus are available here.


Topic Ross Durrett ASV
1 Definition of Probability 2.1-2.3, 2.7       1.1-1.2 1.1, Appendix B
2 Basic Properties of Probability 2.4 1.1.2 1.4
3 Combinatorial Probability 1.1-1.5, 2.5 2.1-2.2, 2.4       1.2-1.3, Appendix C
4 Inclusion-Exclusion Formula 2.4-2.5 2.5 1.4
5 Conditional Probability 3.2 3.1 2.1
6 Independence 3.4 1.3 2.3
7 Bayes Rule 3.3 3.2-3.3 2.2
8 Discrete Random Variables 4.1-4.2 1.4 1.5, 3.1
9 Binomial and Geometric Distributions 4.6, 4.8 1.4, 2.2 2.4
10 Poisson Distribution 4.7 2.3 4.4
11 Expected Values of Discrete Random Variables 4.3-4.4 1.5 3.3
12 Variance of Discrete Random Variables 4.5 1.6 3.4
13 Continuous Random Variables 5.1, 5.3, 5.7 5.1-5.3 3.1-3.2
14 Expected Values of Continuous Random Variables       5.2 5.1.1 3.3-3.4
15 Exponential Distribution 5.5, 5.6.1 5.1 4.5
16 Normal Distribution 5.4 6.4 3.5
17       Joint Distributions 6.1 3.4, 5.4 6.1-6.2
18 Independence of Random Variables 6.2 5.5 6.3
19 Expectations of Sums 7.2 6.2 8.1-8.2
20 Variance of Sums 7.3-7.4 6.2 8.4
21 Sums of Independent Random Variables 6.3 6.1 7.1
22 Law of Large Numbers 8.2, 8.4 6.3 4.2, 9.1-9.2
23 Central Limit Theorem 5.4.1, 8.3 6.5-6.6 4.1, 9.3