Math 541 Probability (Graduate)
This course focuses on the formulation of probability problems in a mathematical manner and the techniques for their solution. By the end of this course, students will be able to construct and use probability models to describe and analyze random phenomena, be able to model random phenomena using discrete random variables, be able to model random phenomena using continuous random variables, be able to model random phenomena using multivariate random variables, understand and be able to use moment-generating functions, understand and be able to apply limit theorems, and be able to compute probabilities using simulation via R/Rstudio.
Prerequisite Courses: A grade of “C” or better in Calculus III and Discrete Math or equivalent
Math 511 Theory of Numbers (Spring 2020)
Math 604 Euclidean Concepts of Geometry (Summer I 2020)
Math 541 Probability (Fall 2020)
Math 542 Mathematical Statistics (Spring 2021)
Math 512 Abstract Algebra (Summer I 2021)