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.
Course champion -
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.
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.
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.
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.
Provides a working knowledge of multivariate regression and ANOVA methods balanced with the theory underlying these techniques. Intended for students considering a career in statistics, including but not limited to biostatistics, financial mathematics, and theoretical statistics. Topics include: an introduction to experimental design, power, and effect size calculations, data screening and transformation to meet assumptions of the analyses, multivariate regression, multinomial logistic regression, multivariate survival analysis, ANOVA/ANCOVA/MANOVA/MANCOVA, and time permitting, an introduction to time-series analysis. Extensive use is made of real-world case data from business/finance, health/biology, and education/psychology. Prerequisite: Mathematics 320.
Covers topics related to multiple regression techniques, including testing the assumptions required for each to be valid. This includes applications to yield curve smoothing, pricing, and investment models, and the use of principal component analysis. Also covered are techniques for the analysis and modeling of time-series data and forecasting. Prerequisite: Mathematics 421, passed with a grade of C- or higher.
Covers topics related to computational statistics, including obtaining large, realistic real-time datasets, calculation and visualization of basic statistical features, regression, empirical distributions, and time-series features. Also covered will be principal components analysis (PCA), analysis of variance (ANOVA), correlation, prediction, and stochastic volatility estimation (GARCH). Portfolio theory will also be covered. Prerequisite: Mathematics 320, passed with a grade of C- or higher.
Provides students with skills in advanced multivariate analysis and its applications. Students will learn the material through projects using data from business, finance, and biology. Topics include MANOVA, discriminant analysis, cluster analysis, multidimensional scaling, and factor analysis. Topics may also include conjoint analysis, canonical correlation, and structural equation modeling. Prerequisite: Mathematics 421, passed with a grade of C- or higher.
Affords the student an opportunity to apply mathematical theory to practical work-related experience. Includes both academic and experiential components. Involves ten hours per week of work experience. The academic aspect includes a reflective journal and a written report; repeatable for credit. Prerequisites: Mathematics 211 and 319, both passed with a grade of C- or higher, if a mathematics major; or Mathematics 120 and 126, passed with a grade of C- or higher, if another major; a cumulative GPA of 2.00 and Junior or Senior standing.
An intensive study of a particular subject or problem in mathematics to be announced prior to registration. May be conducted on either a lecture-discussion or a seminar basis. Prerequisite: As announced in the course schedule.