MATH180A
Introduction to Probability, Fall 2018
Instructor: Tianyi Zheng (tzheng2@math.ucsd.edu)
Lectures:
Lecture
Section B: 3:00-3:50PM on MWF in Ledden Auditorium
Lecture Section
C: 4:00-4:50PMon MWF in Ledden Auditorium
Section
B01 (7:00-7:50 PM on Mondays in WLH 2206), TA: Lin Zheng (liz176@ucsd.edu)
Section B02 (8:00-8:50 PM on Mondays in WLH 2206), TA: Nantawat Udomchatpitak (nudomcha@ucsd.edu)
Section B03 (6:00-6:50 PM on Mondays
in WLH 2208), TA: Yesheng Huang (yeh018@ucsd.edu)
Section B04 (7:00-7:50 PM on Mondays in WLH 2208), TA: Yesheng Huang (yeh018@ucsd.edu)
Section B05 (8:00-8:50 PM on Mondays
in WLH 2208), TA: Felipe Campos Vergara (fcamposv@ucsd.edu)
Section B06 (9:00-9:50 PM on Mondays in WLH 2208), TA:
Felipe Campos Vergara (fcamposv@ucsd.edu)
Section C01 (7:00-7:50 PM on Wednesdays in AP&M 7412), TA: Yuqian Zhang (yuz643@ucsd.edu)
Section C02 (8:00-8:50 PM on Wednesdays in AP&M 7412), TA: Yuqian Zhang (yuz643@ucsd.edu)
Section C03 (8:00-8:50 PM on Wednesdays in
AP&M B412), TA: Fangchen Li (fal025@ucsde.du)
Section C04 (9:00-9:50 PM on Wednesdays in
AP&M B412), TA: Zexin Pan (zep002@ucsd.edu)
Section C05 (8:00-8:50 PM on Wednesdays in
AP&M 2402), TA: Yi Luo (yil328@ucsd.edu)
Section C06 (9:00-9:50 PM on Wednesdays in
AP&M 2402), TA: Yi Luo (yil328@ucsd.edu)
Office
Hours
Tianyi Zheng:
5-7 PM on Mondays and Wednesdays in AP&M 6202
Lin Zheng:
4-6PM on Mondays in
AP&M 6432
Nantawat Udomchatpitak:
1-3PM on Tuesdays in
AP&M 5748
Yesheng Huang:
1-3 PM on Mondays and
3-5PM Thursdays in AP&M 6452
Felipe Campos Vergara:
5-7 PM on Tuesdays
and Wednesdays in AP&M 6446
Yuqian Zhang:
12-2 PM on
Tuesdays and Thursdays in AP&M 6303
Fangchen Li:
1-2 PM and 5-6 PM
Thursdays in AP&M 5218
Zexin Pan:
7-9 PM on Thursdays
in AP&M 5218
Yi Luo:
12:45-13:35PM on
Tuesdays and Thursdays; and 18:20PM-20:00 on Wednesdays in AP&M 2000B.
The recommended
textbook for the course is Introduction to
Probability by Anderson, Sepplinen
and Valk
. (It is referred to as ASV on the course schedule.)
The textbook A First Course in Probability by Sheldon Ross, 9th edition. is recommended as
supplementary reading material.
You should turn in your
homework assignments to your TA's homework dropbox,
which is in the basement of Applied Physics and Mathematics, before 6PM on the
due date.
You
will find the homework assignments in TritonEd (select
"Content" from the left side of the screen once you have logged
in).
Exams
_ There will be two midterm exams and a final exam. The midterm exams will be held in class on Wednesday October 24, and Monday, November 19. The final exam will be at 3PM-6PM on Friday December 14 if you are enrolled in the 3pm lecture; 3PM-6PM Tuesday December 11 if you are enrolled in the 4pm lecture. Please bring your student ID to the exams. You will be allowed to use one
Grading
Homework will count for 20 percent of the final grade. The lowest homework
score will be dropped. Each midterm will count for 20 percent, and the final
exam will count for 40 percent; alternatively, you may drop one lower midterm
and the final exam will count for 60 percent.
Here is
a link to
the syllabus.
Here is the course schedule
(not finalized, will be updated):
|
Week |
Topic |
Section in book ASV |
|
0 |
Definition of Probability |
1.1,1.2 |
|
1 |
Basic
Properties of Probability |
1.4 |
|
|
Examples of combinatorial probability calculations |
|
|
Conditional
Probability |
2.1 |
|
|
2 |
BayesŐ rule |
2.2 |
|
Independence
|
2.3 |
|
|
|
Independent trials and sampling |
2.4, 2.5 |
|
3 |
Discrete
Random Variables |
3.1,3.2 |
|
Examples: Binomial and Geometric Distributions |
3.1,3.2 |
|
|
|
Poisson
Distribution |
4.4 |
|
4 |
Review session |
|
|
|
First Midterm Exam |
|
|
|
Expected Values of
Discrete Variables |
3.3 |
|
5 |
Variance of Discrete Random
Variables |
3.4 |
|
Continuous Random Variables |
3.1,3.2 |
|
|
Expected
Values of Continuous Random Variables |
3.3 |
|
|
6 |
Normal Distribution |
3.5 |
|
Exponential
Distribution |
4.5 |
|
|
Joint Distribution |
6.1,6.2 |
|
|
7 |
Independence
of Random Variables |
6.3 |
|
|
Review Session |
|
|
8 |
Second
Midterm Exam |
|
|
Expectation of Sums |
8.1.8.2 |
|
|
9 |
Variance
of Sums |
8.4 |
|
Estimating tail probabilities |
9.1 |
|
|
Law of Large Numbers |
9.2 |
|
|
10 |
Central
Limit Theorem |
9.3 |
|
Review Sessions |
||
|
11 |
Final
Exam Week |
|
Academic Integrity at UCSD.
Here is
a link to a normal distribution table.
Here is
a link to some instructions for making normal distribution calculations using
technology.