Homework Assignments

MATH 3215 Fall 2023

Here is a list of topics covered and all written assignments for the course as well as a dynamic listing of what was actually planned and covered in the lecture. Remember: Your work on assignments should be neatly presented---if you can't write legibly, then figure out a way to type it---and submitted on Canvas.


   Date    Chapter.Section/Topics   or   Page/Problems

T   Aug 22  Lecture "-2"  base rate fallacy
             Assignment 1  Due Tuesday September 12, 2023         
             Assignment 2  Due Tuesday September 19, 2023
             Assignment 2 (corrected version)  
             Assignment 2 (second corrected version)  
Th   24     Lecture "-1" measure
T    29     Lecture 0 events and outcomes
             Assignment 3  Due Tuesday October 3, 2023
Th   31     Lecture 1 sets, functions, and measures
T  Sept 5   Lecture 1 (continued) sets and functions
Th    7     Lecture 1 (continued) measures
T    12     Lecture 1 (continued and reviewed) integration
            Lecture 2 Some basic baby measures: binomial measure
             Assignment 4 = Exam 1  Due Tuesday October 17, 2023
            Assignment 1 due
Th   14     Lecture 2 
            Assignment 2 Problem 4
T    19     Assignment 2 Problems 1-3
Th   21     Assignment 2 Problems 1-3 continued
            Mean value of the geometric distribution (integral calculation)
T    26     Series and the Poisson distribution
            Review of binomial distribution
            Poisson distribution as limit of binomial distribution(s) (project) by Jeremy Mahoney
             Assignment 5 Due Tuesday October 24, 2023 
Th   28     measures on discrete measure spaces (review)
            Poisson measure and the calculation of means
T   Oct 3   Counting and Cartesian products
            Counting and probability (dice, cards, urns)
Th    5     Counting and the permutation bijection problem
            urn problems and project measures
T   Oct 10  Fall Break
Th   12     Projects and Birthdays (project)
T    17     Continuous distributions/integral measures
Th   19     Continuous distributions; mean and variance
            Bayes' Theorem Presentation by Matthew Buchan
T    24     Percentage/portion of a distribution falling within a multiple of the standard deviation from the mean
            Introduction to R probject by Mika Okamoto
            Ineractive R tutorial in R by Mika Okamoto
             Assignment 6 Due Tuesday November 7, 2023 
Th   26     Binomial Distribution Project by David Chan
T    31     Overview of Statistics 
            Construction of a non-measurable set (project) by Keegan Thompson (See Assignment 10)
             Assignment 7 Due Tuesday November 14, 2023 
             Assignment 8  Due Tuesday November 21, 2023 
Th  Nov 2   A little calculus (Frank Qiang's problem---see main course page) 
            Review of Overview of Statistics---What is a statistic?
            Election polling project (vague proposal)  
T     7     Statistics (Lecture 8 and Lecture 7)
            Pseudorandom number generators (project) by Arjun Bhamra  
            Chebyshev's inequality (project) by Ansel Erol 
            15 wfrn probability problem by Ansel Erol original handwritten version
Th    9     
            Cuboidal Dice (project) by Anthony The
            Liar's Dice (project) by Mattias Larsson
            Liar's Dice (final draft)
            Liar's Dice (General)Liar's Dice (5 players)
T    14     
            Random Walk (project) by Sena Ghobadi
            Normal Distribution (project) by Sean Peng
             Assignment 9  Due Tuesday December 5, 2023 
Th   16     
            Sun and Rain Probability (project) by Uma Anand
            Probability of winning with a 5 card Poker hand (project) by Ben Skelton    Slides 
T    21     Office Hour
Th  Nov 23  Thanksgiving Holiday
T    28     
            Machine Learning (project) by Girish Jayakumer
             Final Assignment Due Tuesday December 12, 2023 
Th   30     
            Matching Birthdays (project) by Dahyun Hong and Shaambav Dave    Slides
            Numbers attached to associations (project) by Ben Hellman


T   Dec 5   Last class meeting
            Sample deviation (project) Matthew Buchan
            Texas Poker (project) by Victor Henriksson
            Black Jack (project) by Akaash Parthasarathy
            Dependence of probability on geometry: dice simulation (project) by Danny Schultz
            Monte Hall Problem (project) by Koji Shimada

T   Dec 12  Final Exam  (2:40-5:30)
            Chebyshev's inequality (project) by Hannah Glamm
            Chebyshev's inequality (project) by John McCuan


            Election Polling (project) by Reese Wang

            Statistics of Music League (project) by Koji Shimada
            Monty Hall (project) by Jonathan Huang  Python simulation 

            Regression by Tanush Chopra  video 
            Regression by Pranav Viswanath
            Markov Chains by Anirudh Vetukuri
            Surprise by Andrew Meyer
            Python by Samarth Parameswar
            Spatial Statistics by Zhengxuan Deng

            Number Games by Sena Ghobadi    movie