Mathematics (B.A., B.S.)

An introduction to calculus of a single variable. Topics include limits, continuity, differentiation, and beginning integration with applications. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Math ACT score of at least 27, or a grade of "C" or better in MATH 1470 Trigonometry or MATH-1400, or permission of the instructor.
(Normally offered each semester.)

A continuation of MATH 1600 Calculus I. Topics studied include integration techniques and applications, differential equations, numerical approximations, sequences and series, and vectors. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of the department chair or grade of "C" or better in MATH 1600 Calculus I.
(Normally offered each semester.)

This course develops some of the most fundamental ideas and techniques underpinning all of mathematics. We will investigate questions such as: What is the structure of deductive logic? How do mathematicians ascertain and communicate truth? How are numbers and infinities constructed? Are there limits to mathematical understanding? Emphasis will be placed on strengthening the ability to write clear, precise arguments in the context of mathematical foundations (logic, numbers, sets, functions, etc.). This course is open to students from all majors and requires no specific mathematics background.

Prerequisite(s): MATH 1100 College Algebra or MATH 1300 Statistics or MATH 1600 Calculus I or permission of the instructor.

(Normally offered each spring semester.)

An introduction to multivariable calculus. Topics include vector-valued functions, functions of several variables, partial derivatives, multiple integrals, and analysis. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of department chair or grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each fall semester.)

A study of vector spaces, determinants, linear transformations, matrices, matrix equations, and their applications in the natural and social sciences.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each spring semester.)

An introduction to basic probability and statistics concepts with an emphasis on applications. Topics include descriptive statistics, probability, Bayes' Theorem, discrete and continuous probability distributions, joint probability distributions, estimation and hypothesis testing.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered fall of even-numbered years.)

A study of various algebraic systems arising in modern mathematics, such as groups and rings.
Prerequisite(s): Grade of "C" or better in MATH 2200 Foundations of Modern Mathematics.
(Normally offered fall of even-numbered years.)

A formal approach to limits, continuity, differentiation, and integration with emphasis on the proofs of theorems. Additional topics may include topology, uniform continuity, and uniform convergence.
Prerequisite(s): Grade of "C" or better in MATH 2200 Foundations of Modern Mathematics and MATH 1610 Calculus II.
(Normally offered spring of even-numbered years.)

A study of ordinary differential equations. Topics include first- and higher-order, linear and nonlinear differential equations with applications. Additional topics may be chosen from systems of differential equations, transform techniques, and numerical methods. Use will be made of a computer algebra system.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each spring semester.)

Selected topics from Euclidean and non-Euclidean geometry, geometry as a mathematical structure, and geometry as a study of invariants of set transformations.
Prerequisite(s): Grade of "C" or better in MATH 2200 Foundations of Modern Mathematics.
(Normally offered fall of odd-numbered years.)

A guided, original research experience on a mathematical topic. This course will culminate in a conference-style presentation and written report. Students will keep a reflection journal throughout the experience.

Prerequisite(s): Instructor permission.

A study of topics of special interest in mathematics. Students begin the course by studying an advanced topic in mathematics. Students then work on individualized projects culminating in a symposium presentation and survey paper.
Prerequisite(s): Major in mathematics, senior standing, grade of "C" or better in either MATH 4200 Abstract Algebra I or MATH 4300 Real Analysis, and permission of the instructor. 
(Normally offered fall semester of odd years.)

An introduction to computational problem-solving using Python. Hands-on labs are used to motivate basic programming concepts, including basic data types and structures, functions, conditionals, and loops. Additional topics may include building and scraping HTML webpages. The course is recommended for all who wish to explore data science and/or computer science. Recommended: Math ACT score of at least 21 or instructor permission of a prerequisite waiver.

(Normally offered every spring semester.)

An introduction to data analytics from three perspectives: inferential thinking, computational thinking and real-world relevance. Topics include, but are not limited to: organizing real-world data by filtering, sorting, and using pivot tables; exploring data; visualizing data; using programming tools to analyze data through a statistical lens. Statistical topics include: center and spread of data, descriptive statistics, inferential statistics, regression, causality, classification and prediction.

(Normally offered every fall semester.)