Math 421 - Fall 2017


Basic Info

Course Description

We will cover basic probability theory, starting with combinatorial analysis, then covering probability rules, continuous & discrete random variables, expectation. If time permits, we may investigate Markov chains, Chebyshev's inequality, and the Law of Large numbers.

Tentative Schedule

The schedule below is tentative, and may be subject to change. Changes will be announced in class, and you are responsible for knowing about any changes even if you miss the class when they are announced.

  Week     Dates     Topic     Homework  
1   Aug 21 - Aug 25     Permutations & Combinations     Chapter 1  
2   Aug 28 - Sep 1     The Binomial Theorem  
3   Sep 4 - Sep 8     Axioms of Probability     Chapter 2  
4   Sep 11 - Sep 15     Equiprobable Spaces     Generating Functions  
5   Sep 18 - Sep 22     Conditional Probability     Chapter 3
6   Sep 25 - Sep 29     Independence  
7   Oct 2 - Oct 6     Discrete Random Variables     Chapter 4
8   Oct 11 - Oct 13     Expectation & Variance  
9   Oct 16 - Oct 20     Bernoulli & Poisson Distributions  
10   Oct 23 - Oct 27     Continuous Random Variables     Chapter 5
11   Oct 30 - Nov 3     Normal & Exponential Distributions  
12   Nov 6 - Nov 10     Joint Distributions     Chapter 6
13   Nov 13 - Nov 17     Joint Distributions - con'd  
14   Nov 20     Properties of Expectation  
15   Nov 27 - Dec 1     Moment Generating Functions  

Attendance Policy

Attendance in this class is required. Repeated absences may result in a forced withdrawal from the course. You are responsible for any material you miss due to absence. Please let me know ahead of time if you know that you will not be able to attend class.

Grading Policy

The term grade will be based on the following factors.

Component     Proportion    
Homework 40%
Quizzes 30%
Final Exam 30%


I will assign homework problems every day in class. You should keep your solutions to these problems in a homework notebook. From time to time, I will ask to see your solutions to assigned problems. Usually, you will present solutions in class, although sometimes you may need to present solutions outside of class time, during office hours for example. Each homework problem will be graded on a simple two point scale:

I encourage you to work with the other students on the homework, but you must have a clear understanding of your solutions to get credit.

Your letter grade for homework will be determined by the total number of problems from the book you are able to solve.


About once a month, there will be a quiz to test your understanding of the material. These quizzes will be announced in advance, and you will know exactly what concepts will be covered on each quiz. You will not be asked to write proofs during the quizzes, instead the quizzes will focus on definitions, concepts and knowledge about probability. Each quiz will take about 20 minutes.

Final Exam

There will be a cumulative final exam. It will include questions similar to the ones on the quizzes, as well as a few more challenging problems similar to the ones on the homework.

Special Accommodations

In compliance with the Hampden-Sydney College policy and equal access laws, I am available to discuss appropriate academic accommodations that may be recommended for students with disabilities. Requests for academic accommodations are to be made at the beginning of the semester (except for unusual circumstances) so that appropriate arrangements can be made. Students are required to contact the Office of Academic Success in order to verify their eligibility for appropriate accommodations. How does this look?