MATH180A
Introduction to Probability, Winter 2017
Instructor: Tianyi Zheng (tzheng2@math.ucsd.edu)
Lectures:
3:00-3:50PM on Mondays,
Wednesdays, and Fridays in Center Hall, Room 115.
Section
A01 (7:00-7:50 PM on Wednesdays in AP&M B412), TA: Andrew Ying
(anying@ucsd.edu)
Section
A02 (8:00-8:50 PM on Wednesdays in AP&M B412), TA: Andrew Ying
(anying@ucsd.edu)
Section
A03 (5:00-5:50 PM on Wednesdays in
Center Hall, 217B), TA: Alice Chan (azchan@ucsd.edu)
Section
A04 (6:00-6:50 PM on Wednesdays in
Center Hall, 217B),
TA: Alice Chan (azchan@ucsd.edu)
Section
A05 (7:00-7:50 PM on Wednesdays in
Center Hall, 217B),
TA: Nimish Srivastava (n2srivas@ucsd.edu)
Section
A06 (8:00-8:50 PM on Wednesdays in
Center Hall, 217B),
TA: Nimish Srivastava (n2srivas@ucsd.edu)
Tianyi Zheng
4:10-5:30 pm Mondays, 4:10-5:30pm Fridays in AP&M 6202.
Alice Chan
10am-12pm Tuesdays in
the Calculus Lab AP&M
11am-1pm Thursdays in
AP&M 7421
Nimish Srivastava
9:00am-10:00am Tuesdays and Thursdays in the
Calculus Lab AP&M.
3:30pm-4:30pm in Math TA office (AP&M 2313)
The textbook for the
course is A First Course in Probability by
Sheldon Ross.
The
textbook Elementary Probability for Applications by Rick
Durrett is recommended as supplementary reading
material, which can be viewed here through the UCSD
library if you are on campus (click on "go to electronic version").
Instructions for setting up a VPN account to allow you to get to the library
web site from off campus are available here.
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).
Discussions
We
will use Piazza, an
online discussion board. It will allow you to post messages (openly or anonymously)
and answer posts made by your fellow students, about course content, homework,
exams, etc. The instructors will also monitor and post to Piazza regularly. You
can sign up here if you are not signed up.
Here is
a link to the syllabus.
Here is the course schedule
(not finalized, will be updated):
|
Week |
Topic |
Section
in ROSS |
|
1 |
Definition
of Probability |
2.1-2.3,
2.7 |
|
|
Basic
Properties of Probability |
2.4 |
|
|
Combinatorial
Probability |
1.1-1.5 |
|
2 |
Combinatorial
Probability (ctd), Inclusion-Exclusion formula |
2.4-2.5 |
|
|
Independence |
3.4 |
|
3 |
Independence
(ctd) |
3.4 |
|
|
Bayes
Rule |
3.3 |
|
|
Discrete Random
Variables |
4.1-4.2 |
|
4 |
Binomial
and Geometric Distributions |
4.6,4.8 |
|
|
Poisson
Distribution |
4.7 |
|
|
First Midterm Exam |
|
|
5 |
Expected
Values of Discrete Random Variables |
4.3-4.4 |
|
|
Variance
of Discrete Random Variables |
4.5 |
|
|
Continuous
Random Variables |
5.1,5.3,5.7 |
|
6 |
Expected
Values of Continuous Random Variables |
5.2 |
|
|
Exponential
Distribution |
5.5,
5.6.1 |
|
|
Normal
Distribution |
5.4 |
|
7 |
Joint
Distribution |
6.1 |
|
|
Independence
of Random Variables |
6.2 |
|
8 |
Expectation
of Sums |
7.2 |
|
|
Variance
of Sums |
7.3-7.4 |
|
|
Second Midterm Exam |
|
|
9 |
Sums of
Independent Random Variables |
6.3 |
|
|
Law of
Large Numbers |
5.5,
5.6.1 |
|
|
Central
Limit Theorem |
5.4 |
|
10 |
Central
Limit Theorem (ctd) |
5.4 |
|
|
Review
Sessions |
|
|
11 |
Final Exam 3PM-5:59PM Wednesday March 22 |
|
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.