Help @MathCenter

Mathematics graduate students who are TAs hold office hours in RE-129. Any TA can help with any course they have some knowledge about, when they are not busy with students in their assigned courses. Make sure you use this great resource!

Help @ARC

The ARC provides the following free services:
- Peer tutoring for a wide range of courses
- Exam reviews
- Supplement Instruction
- Workshops and Seminars
- Group study
- Computing and Printing
Location: Hermann Hall Building-First Floor (Northwest Corner) Room HH-112
Telephone: (312) 567-5216

Help with typing math: TeX, etc.

You are encouraged to type your assignments. You can access LaTeX in the computer labs; more information and help can be found on this departmental page. Note: for Macs, I recommend TeXShop.
You might also consider using the what-you-see-is-what-you-get text editor TeXmacs; it makes it unnecessary for you to learn the LaTeX typesetting language while producing output of comparable quality. The program is freely downloadable, available for various platforms, able to import and export LaTeX files, and offers a plugin for Macaulay 2.

Math 225: Introduction to Statistics

Homework schedule

Homework assignments will be posted at least one week before the due date. It is your responsibility to check the course page on Campuswire to obtain the assigned problems.

You are expected to start working on the homework sets early (not the day they are due or right before). It is extremely difficult to answer last-minute homework questions; particularly if you have not been participating in the Campuswire discussion beforehand.

Help with writing up assignments

[Credit: the text in this paragraph is borrowed from Prof. Kaul.]
To improve your mathematical writing quickly, start by writing draft solutions to homework early. A day or two later after you have had time to forget what you wrote, read it. If it doesn’t make sense or convince you, rewrite it. Writing a solution requires saying what you mean and meaning what you say. Be intellectually honest. Intellectual dishonesty includes: 1) stating a “reason” without understanding its relevance. 2) Claiming a conclusion when you know you haven’t proved it. 3) Giving an example and claiming you have proved the statement for all instances.

Lecture schedule

You are expected to cover (at least at a high level) the assigned readings before coming to the lecture. This will help you follow the course and organize your notes. In the reading schedule below, "Lock" refers to our textbook for the course.

Homework problem sets are naturally related to the material covered in the course; hence, homework numbers are listed next to the corresponding topic.

Dates..............  Tentative topics covered Assigned reading Related homework
August 21&23 Topic 1: Collecting data: structure of data, cases and variables, categorical and quantitative variables, random sampling, bias, randomized experiments. Lock: Sections 1.1-1.2 1.3.
Homework 1 due 8/30.
August 28&30 Topic 1: Collecting data: randomized experiments.
Topic 2: Describing data: Categorical variables, summary statistics and visualization, 2.1 &2.2 (time-permitting).
Lock: Sections 1.3&2.1-2.2
Homework 2 due 9/6.
September 4&6 Topic 2: Describing data: quantitative variables, summary statistics and visualizations. Relating quantitative/categorical. Lock: Sections 2.2-2.5
Homework 3 due 9/13.
September 11&13 Topic 2: Visualizing data,mutliple variables.
Topic 3: Basics of Theory of Probability: probability laws, random variables.
Lock: Sections 2.7, P.1 and P.2(time permitting)
Homework 4 due 9/20
Tuesday 9/25.
September 18&20 Topic 3: Basics of Theory of Probability: random variables, Bayes Rule.
Topic 4 (time-permitting): Sampling distributions.
In-class quiz this week. Thursday.
Lock: Sections P.2 and P.3; P.4 and P.5 and 3.1.
Homework 5 due Oct 4th. Back to Thursday HWs!
September 25&27 Topic 4: Confidence intervals: sampling distributions, interval estimates, bootstrapping.
Lock: Sections 3.2,3.3, and 3.4.
Homework 5 due Oct 4th and Homework 6 due Oct 11th.
October 2&4 Topic 5: Hypothesis tests: introduction; p-values.
In-class quiz this week. Covering Topics 3 (more) and 4 (less).Thursday.
Lock: Sections 4.1, 4.2.
Homework 6 due Oct 11th.
October 9&11 Topic 5: Hypothesis tests: significance and errors.
Tentatively, we will have a midterm exam on Thu 10/11 or Tue 10/16. Will be discussed and decided during the week of Oct 2nd.
Lock: Sections 4.3, 4.4, 4.5.
Homework 7 due 10/23
October 16&18 Topic 6: Hypotheses tests and confidence intervals using the normal distribution.
Midterm exam on Tue 10/16.
Lock: Sections 5.1 and 5.2.
Homework 8 due 10/30
October 23&25 Topic 6: Connecting the dots: Inference for means and proportions: tests and confidence intervals for proportions, t-tests -- an overview of how it all comes together. Lock: Sections 6.1 - 6.4 (varuious)
Homework 9 due 11/8
Oct 30 & Nov 1 Topic 7: Inference for multiple parameters: Chi Square Tests Lock: Section 7.1
Homework 10 due 11/15.
Nov 6&8 Topic 7: (continued) Inference for multiple parameters: Chi Square Tests. Intro/overview of some open problems and research directions in this area.
Topic 8: Inference for multiple parameters: ANOVA.
In-class quiz this week Tue! Covering topics after the midterm: second part of topic 5 and topic 6.
Lock: Section 7.2 and 8.1
Homework 10 due 11/15.
Nov 13&15 Topic 8: (continued) Inference for multiple parameters: ANOVA. Lock: Section 8.2 and on (TBD).
Homework 11 due TBD.
(Comprehensive) Final Exam Tuesday Dec 4, 2018 8:00 a.m. 10:00 a.m. SB 225