Course Number: MATH 4203/5203

Course Title: Mathematical Probability

Hours Credit: 3 hours

Prerequisites: MATH 2853 and 3063 Instructor: Dr. Chatterjee

Course Description: A calculus based statistics course with a strong emphasis on probability theory. Exercises are both theoretical and applied, including both discrete and continuous probability distributions such as the Binomial, Geometric, Hypergeometric, Poisson, Normal, Beta and Gamma. The course provides the underlying theory and mathematically derived techniques of Statistics.

Text: Mathematical Statistics with Applications (Seventh Edition)

Author: John E. Freund

 

Syllabus:

Chapter 2

All sections

 

Chapter 3

All sections

 

Chapter 4

All sections

 

Chapter 5

All sections

 

Chapter 6

All sections

Learning Outcomes: Students should be able to demonstrate:

  1. Recognize and describe discrete and continuous random variables
  2. Find probabilities associated with discrete and continuous random variables
  3. Use the notation and the language associated with probability
  4. Use basic rules of probability
  5. Use expected value to find the mean and variance of discrete and continuous random variables
  6. Understand the interplay of probability and statistical inference
  7. Apply Central Limit Theorem.

Final Marks: Average of the four tests.