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 | |
1 | Friday, June 24 | Set Theory Handout | 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). |
2 | Monday, June 27 | § 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 (moorek@math.dartmouth.edu) so that I can add you to my email list. | |
Wednesday, June 29 | § 3.2 | Counting techniques. | First problem set is due today (solutions). Proof assignment due on Friday. | ||
Friday, July 1 | Binomial distribution and independence. | The proof assignment is due today. | |||
3 | Monday, July 4 | 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! | ||
Wednesday, July 6 | § 4.1, 4.3 | Conditional probability and independence. | Problem set 2 due today (solutions). Proof assignment is due on Friday. | ||
Friday, July 8 | 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. | 4 | Monday July 11 | § 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. |
Wednesday July 13 | § 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. | ||
Friday July 15 | § 6.1, 6.2 | Joint distributions, geometric distribution, negative binomial distribution. | |||
5 | Monday July 18 | § 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). | |
Wednesday July 20 | § 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). | ||
Friday July 22 | § 8.1 | Important inequalities. | |||
6 | Monday July 25 | § 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. |
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Wednesday July 27 | § 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). | ||
Friday July 29 | § 5.2 | Expectation, variance and normal distribution. | The sixth problem set is due on Wednesday, (solutions). | ||
7 | Monday August 1 | § 8, 9 | Law of Large Numbers and Central Limit Theorem. | The sixth Proof Assignment is due on Friday, (solutions). | |
Wednesday August 3 | § 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. | ||
Friday August 5 | § 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. | ||
8 | Monday August 8 | § | Quiz on Tuesday (solutions). | Wrapping up continuous distributions. Infinite variance and expectation. Cauchy distribution and Benford's law. | |
Wednesday August 10 | § | 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. | ||
Friday August 12 | § 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). | ||
9 | Monday August 15 | Randomness, Chaos and Patterns. | Here is an evolving document of good problems, I will update it periodically in the next week. | ||
Wednesday August 17 | § 11.1, 11.2, 11.3 | Markov chains, regular and ergodic. | |||
Friday August 19 | § 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). | ||
10 | Monday August 22 | 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. | ||
Wednesday August 24 | Review | Send me an email if you have any questions you want to be sure we talk about. | |||
Saturday August 27 | Final exam | The final exam is from 8am - 11 am in Kemeny 008 (right next door). |