- MATH 361: Introduction to Probability
This is an introductory course on probability problem solving using concepts developed in calculus. Topics include probability models, discrete and continuous random variables, expectation and variance, the law of large numbers, and the central limit theorem. The main goal of this class is to develop an understanding of some simple probability models, both discrete and continuous, and and apply that understanding to solving problems. It is assumed that students entering MTH 361 have a fair command of differential and integral calculus as well as some exposure to infinite series.
Textbook: Elementary Probability for Applications by Rick Durrett , Cambridge University Press, 2009
- MATH 343: Introduction to Modern Algebra
This course covers a selection of the material in the text on the integers, groups, rings and fields. The emphasis is on developing abstraction, understanding definitions and basic examples, as well as on learning the fundamentals of writing proofs in the algebraic setting. This is similar to what is called Abstract Algebra in some textbooks. This course is being taken by most students in Math major.
Textbook: Abstract Algebra: Theory and Applications by Thomas W. Judson, Orthogonal publishing, Michigan, 2018
- MATH 341: Linear Algebra 1
This is the study of linear systems of equations, vector spaces, and linear transformations. Solving systems of linear equations is a basic tool of many mathematical procedures used for solving problems in science and engineering. This course helps the students become competent in solving linear equations, performing matrix algebra, calculating determinants, and finding eigenvalues and eigenvectors. On the theoretical side, the student will come to understand a matrix as a linear transformations relative to a basis of a vector space.
Textbook: A first course in Linear Algebra by Lyryx Learning
based on the original text by K. Kuttler, version 2017.