Homework assignments will be due on Wednesday and Friday of each week.
The schedule and assignments will be posted here.
Policy: Homework is due at the beginning of class on the day it is due. Late work is generally not accepted.
|wk||date||reading||topic||homework / comments|
|Introduction, basic set theory.||Please complete the survey and turn in tomorrow. Class is at 9:20am!||Saturday, |
June 25 at 9:20 am
|§ 1.2||Basic probability, equally likely outcomes.||Proof assignment: The problem at the end of the Set Theory Handout is due today.
The first Problem Set can be found here (due Wednesday).
|§ 3.1||Counting techniques, birthday problem.||(Problem solving night, 7-9 pm, Kemeny 004). Proof assignment 2 is due on Friday. |
If you are sitting in on this class, please send me an email (firstname.lastname@example.org) so that I can add you to my email list.
|§ 3.2||Counting techniques.||First problem set is due today (solutions). Proof assignment due on Friday.|
|Binomial distribution and independence.||The proof assignment is due today.|
|No class||I will have office hours at the usual time today (4-5:30pm), and Tuesday (4-5pm).|
I clarified the problem statment for Question 5 on Problem Set 2!
|§ 4.1, 4.3||Conditional probability and independence.||Problem set 2 due today (solutions). Proof assignment is due on Friday.|
|Conditional probability, apparent paradoxes, applications.|| Proof assignment 3 is due today.|
The third problem set is due on Wednesday.
Practice problems for quiz (not to turn in):
1.2 # 1, 7, 9, 11, 22(*), 23(*), 26, 31,
3.1 # 2, 4, 6, 7, 10, 13, 17
3.2 # 1, 8, 12, 22, 31, 35
4.1 # 1, 2, 3, 9, 14, 22, 26, 27, 29.
Solutions to the second problem set are posted.
Here is a Review Sheet.
|§ 6.1||Expectation.||Quiz on Tuesday during X-hour. I will extend office hours to 4-6 pm today, office hours tomorrow are cancelled because I will be away at a conference.|
|§ 6.1, 6.2||Expectation and variance.||Problem set 3 is due today, (solutions). Proof Assignment 4 is due on Friday. Quiz Solutions. Problem Set 4 will be due on Wednesday.|
|§ 6.1, 6.2||Joint distributions, geometric distribution, negative binomial distribution.|
|§ 5.1||Coupon collecting, more distributions.||My office hours will be extended to 3:30-5:30pm on Monday, office hours on Tuesday will be cancelled and rescheduled to Wednesday from 9:15-10:10am.|
Problem set 4 is due on Wednesday (solutions to Problem set 4), I fixed a typo on the hint for problem 5.
Proof Assignment 5 will be due on Friday (solutions).
|§ 5.1||Poisson distribution.||The proof assignment is due on Friday. This is an evolving document of good probability questions: Midterm Review. The fifth Problem Set will be due Wednesday (solutions).|
|§ 8.1||Important inequalities.|
|§ 2.1, 2.2||Continuous probability: density functions and expectation.||Problem set due on Wednesday, Midterm on Thursday from 7-9.
Here is a collection of previous exams, continuous probability questions will not be on the exam.
|§ 6.3||Geometric probability problems and cumulative probability.||Office hours added today from 4:15-5:30. Office hours Thursday from 2:30-3pm, we will not be working through problems during this time. Midterm exam Thursday (tomorrow) from 7-9pm (solutions).|
|§ 5.2||Expectation, variance and normal distribution.||The sixth problem set is due on Wednesday, (solutions).|
|§ 8, 9||Law of Large Numbers and Central Limit Theorem.||The sixth Proof Assignment is due on Friday, (solutions).|
|§ 5.2||Exponential distribution and Gamma distribution.||The seventh problem set is due on Wednesday (solutions), Problem 11 is cancelled due to length of assignment. The second quiz is on Tuesday during X-hour, it will include all of the continuous techniques through sums of continuous random variables on Friday.|
|§ 7.2||Sums of random variables and examples.||Here is a review sheet for Quiz 2. I will have office hours on Sunday night from 7-8pm in place of my normal office hours on Tuesday. Problem Solving session on Monday night 7-9 in Kemeny 004. Monday's office hours will be from 3:00-4:30pm.|
|§||Quiz on Tuesday (solutions).||Wrapping up continuous distributions. Infinite variance and expectation. Cauchy distribution and Benford's law.|
|§||Puzzles!||The proof assignment is due on Friday - have fun with it! (Typo caught and updated). Here is a link to a Forbes Article about Benford's Law in fraud detection.|
|§ 11.1, 11.2, 11.3||Markov processes, basic linear algebra.||The last problem set will be due on Friday, August 19th (solutions). Here is a Maple file to help you get started: maple. Here is an explanation of how Benford's Law arises from scale invariance (it's pretty cool).|
|Randomness, Chaos and Patterns.||Here is an evolving document of good problems, I will update it periodically in the next week.|
|§ 11.1, 11.2, 11.3||Markov chains, regular and ergodic.|
|§ 11.1, 11.2, 11.3||Gambler's ruin and absorbing states, game theory.||The last proof assignment is due on Monday (or Wednesday, if needed).|
|Game theory.||Office hours this week: Monday 4-5:30, Tuesday 4-5, Wednesday 1:30-2:30, Thursday 1-2:30, Friday 4-5.|
|Review||Send me an email if you have any questions you want to be sure we talk about.|
|Final exam||The final exam is from 8am - 11 am in Kemeny 008 (right next door).|