400 Level Math Courses
Course champion - Dr. Bonnie Gold
Beginning with the natural numbers, the integers and rational numbers are developed. Complex numbers and roots of unity are followed by groups, rings, and polynomials. Prerequisites: Mathematics 120, 221, and 314, passed with a grade of "C-" or higher, and a passing score on Gateway Exams III.
- Recently Used Text: Abstract Algebra: An Introduction, 2nd Edition, by Thomas W. Hungerford
- Sample Syllabus
The study of groups, rings, ideals, fields, and field extensions culminating with Solvability and Galois Theory. Prerequisites: Mathematics 410, passed with a grade of "C-" or higher.
- Recently Used Text: Abstract Algebra: An Introduction, 2nd Edition, by Thomas W. Hungerford
- Sample Syllabus
Course champion - Dr. Susan Marshall
Complex numbers and plane, functions, derivatives, line integrals, Cauchy integral theorem. Cauchy's formula, series, and applications. Prerequisite: Mathematics 225, and either Mathematics 314 or 317, passed with a grade of "C-" or higher.
- Recently Used Text: A First Course in Complex Analysis with Applications, 1st edition, by Dennis Zill and Patrick Shanahan; Complex Variables and Applications, 6th Edition, by James Brown and Ruel Churchill
- Sample Syllabus
Course champion - Dr. Joseph Coyle
Metric spaces, real number system, limits, functions, continuity, differentiation and integration, and counter-examples. Prerequisites: Mathematics 225, and either Mathematics 314 or 317, passed with a grade of "C-" or higher, and successful completion of the writing proficiency requirement.
- Recently Used Text: A Friendly Introduction to Analysis, 2nd Edition, by Witold Kosmala; Analysis with an Introduction to Proof, 4th Edition, by Stephen R. Lay; Real Analysis: A First Course, 2nd Edition, by Russell A. Gordon
- Sample Syllabus
Course champion - Dr. Betty Liu
Introduction to mathematical modeling, which is a process in which a real-world situation is studied, simplified, and abstracted to the point that mathematical tools can be applied to gain understanding. Introduction to the process, first via a text and mini-projects, then in teams investigating problems from local industries or organizations. Prerequisites: Junior or Senior standing; Mathematics 211, 221, and 319, passed with a grade of "C-" or higher. Successful completion of this course satisfies the experiential education requirement.
- Recently Used Text: Mathematical Models
- Sample Syllabus
