# Math 380 - Probability Theory Spring 2017

Instructor: Elizabeth Meckes

Office: Yost 208

Phone: 368-5015

Email: ese3 [at] cwru.edu

Office Hours: MWF, 11:30 -- 12:30

Textbook: We'll be using a draft of the soon-to-be-published Introduction to Probability by David Anderson, Timo Seppäläinen, and Benedik Valkó. It is posted in the Canvas site for this course.

Course web page:
http://www.cwru.edu/artsci/math/esmeckes/math380/.

All course information (including the homework assignments!) is posted here; Canvas is used only for grades and a place to post the text book.

Topics and rough schedule:
The schedule will be roughly as follows:

TopicsBook chaptersWeeks
Random outcomes and the rules of probability
Conditional probability and independence
1,2 1-3
Random variables 3 4
Approximations of the binomial distribution 4 5-6
Transformations of random variables
Joint distributions
5,6 7-8
Sums and symmetry 7 9
Expectation and variance 8 10-11
Limit theorems 9 12-13
Conditional distributions 10 14

Attendance:
You're supposed to come. (To every class.)

Reading the book and attending (and actively learning from!) the lectures are complementary, and it's important to do both. Before each class, please read the section to be covered in the next lecture (we'll go through the book in order — I'll announce any exceptions in class). You will be placed in a group of four at the beginning of the semester; each class will start with a short group quiz based on the material you read in preparation for class.

Homework Problems:
How much you work on the homework problems is probably the single biggest factor in determining how much you get out of the course. If you are having trouble with the problems, please come ask for help; you will learn much more (and probably get a rather better grade) if you figure out all of the homework problems, possibly with help in office hours or from your classmates, than if you do them alone when you can and skip the ones you can't. Students are welcome to work together on figuring out the homework, but you should write up the solutions on your own.

Each lecture has specific homework problems associated to it, as listed in the chart below. I strongly suggest doing the homework the same day as the corresponding lecture (see in particular this figure titled "The value of rehearsal after a lecture"). Homework will be collected weekly.

The homework is meant to be a mix of relatively straightforward exercises and harder problems. Don't worry too much if you find some of it hard, but do continue to struggle with it; that's the way you learn.

The next stage after the struggle of figuring out a problem is writing down a solution; you learn a lot here, too. The homework assignments are writing assignments, and what you turn in should be polished (edited!) English prose with well-reasoned, complete arguments. I should be able to give your solutions to another student who has never thought about the problems (or did, but didn't figure them out), and she should be able to read and understand them.

Individual quizzes:
There will be four hour-long quizzes throughout the term. These are closed book, closed notes. The tentative dates are: February 6, February 27, March 31, April 28.

• Group quizzes 5%
• Homework 15%
• Midterm exams 55%
• Final exam 25%