Mathematics Course Descriptions
100 Level Courses:
MATH 100: Intermediate Algebra
MATH 101: Fundamental Mathematical Concepts I
MATH 102: Fundamental Mathematical Concepts II
MATH 109: College Algebra
MATH 110: Trigonometry
MATH 141: Applied Logic
200 Level Courses:
MATH 205: Mathematical Connections
MATH 211: Precalculus
MATH 227: Introduction to Statistics
MATH 230: Business Calculus
MATH 231: Calculus I
MATH 232: Calculus II
MATH 233: Calculus III
MATH 234: Introduction to Mathematical Proof
MATH 235: Linear Algebra
MATH 236: Honors Calculus I
MATH 290: Selected Topics
MATH 291, 292: Research
300 Level Courses:
MATH 301: Abstract Algebra
MATH 326: Probability Theory
MATH 327: Mathematical Statistics
MATH 330: Geometry
MATH 366: Differential Equations
MATH 390: Selected Topics
MATH 391, 392: Research
400 Level Courses:
MATH 421: Real Variables
MATH 432: Complex Variables
MATH 440: Topology
MATH 490: Selected Topics
MATH 491, 492: Research
MATH 493: Senior Seminar
MATH 494: Senior Seminar for Secondary Education Math Majors
Prerequisite: Prealgebra or beginning algebra in high school or college.
The traditional topics of intermediate algebra through quadratic equations and functions.
Prerequisite: One year of high school algebra or MATH 100.
Development of the number systems — whole numbers through real numbers. Problem solving strategies, functions, elementary logic and set theory are included.
Prerequisite: MATH 101.
An introduction to geometric concepts, measurement, probability, statistics and basic computer concepts.
Prerequisite: MATH 100 or one year of high school algebra and one year of high school geometry.
A study of functions and graphs, solutions of equations and inequalities and the properties of polynomial, rational, exponential and logarithmic functions.
Prerequisite: MATH 109 or two years of high school algebra and one year of high school geometry.
The study of trigonometric, logarithmic and exponential functions and their applications.
This course is designed to help students learn to apply the tools of logic to concrete situations, such as those posed on LSAT and GMAT tests. The course will include a discussion of propositional logic, propositional equivalences, rules of inference and common fallacies. Students are strongly encouraged to take PHIL 100: Introduction to Logic and Critical Thinking either prior to or concurrently with this course.
Prerequisite: At least two years of high school algebra.
A quantitative reasoning course for students in the liberal arts, focusing on applications of mathematics to social issues in our world. Contains the study of providing urban services, making social choices, constructing fair voting systems, and planning the fair division of resources.
Prerequisite: High-school level algebra skills and/or successful completion of College Algebra are required.
This course is designed to prepare students for Calculus I. It covers a variety of topics from algebra, with emphasis on the development of rational, exponential, logarithmic and trigonometric functions including their essential properties, graphs and basic applications. Additional topics range from linear systems to conic sections.
Prerequisite: One year of high school algebra.
A course to acquaint the student with the basic ideas and language of statistics including such topics such as descriptive statistics, correlation and regression, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.
Prerequisite: Two years of high school algebra.
Topics from differential and integral calculus with an emphasis on business applications. This class cannot be used as a prerequisite for MATH 232.
Prerequisite: Two years of high school algebra and one semester of high school trigonometry.
A study of the fundamental principles of analytic geometry and calculus with an emphasis on differentiation.
Prerequisite: MATH 231 or MATH 236. It is recommended that students receive a grade of C or better in MATH 231 or MATH 236 to be successful in this course.
Continuation of Calculus I including techniques of integration and infinite series.
Prerequisite: MATH 232. It is recommended that students receive a grade of C or better in MATH 231 to be successful in this course.
Functions of two variables, partial differentiation, applications of multiple integrals to areas and volumes, line and surface integrals, and vectors.
Prerequisite: MATH 231 or MATH 236. Recommended prerequisite: MATH 232.
A careful introduction to the process of constructing mathematical arguments, covering the basic ideas of logic, sets, functions and relations. A substantial amount of time will be devoted to looking at important forms of mathematical argument such as direct proof, proof by contradiction, proof by contrapositive and proof by cases. Applications from set theory, abstract algebra or analysis may be covered at the discretion of the instructor.
Prerequisite: MATH 232.
Study of linear transformations, matrices and vector spaces.
Prerequisite: Math ACT score of 28 or better and a course in trigonometry with a grade of B or better.
This course is an introduction to single variable calculus with an emphasis on differential calculus. We will cover limits, derivatives, and applications, with an emphasis on both calculational techniques and their theoretical underpinnings. The course will conclude with an exploration of the Riemann sum definition of the definite integral.
Prerequisite: MATH 232. It is recommended that students receive a grade of C or better in MATH 232 to be successful in this course.
This course includes an introduction to probability theory, discrete and continuous random variables, mathematical expectation and multivariate distributions.
Prerequisite: MATH 326. It is recommended that students receive a grade of C or better in MATH 326 to be successful in this course.
This course takes the material from MATH 326 into the applications side of statistics including functions of random variables, sampling distributions, estimations and hypothesis testing.
Prerequisite: MATH 234.
Foundations of Euclidian geometry from the axioms of Hilbert and an introduction to non-Euclidian geometry.
Prerequisite: MATH 232.
A first course in ordinary differential equations.
Prerequisite: MATH 234.
An introduction to point-set topology. Metric spaces, connectedness, completeness and compactness are some of the topics discussed.
Modern topics in mathematics are discussed in a seminar setting. Students integrate their study of mathematics throughout their undergraduate years and explore the connections among mathematics and other courses they have pursued. Departmental assessment of the major is included. This course is designed to be a capstone experience taken during the final semester of the senior year. This course has been approved as an Honors qualified course.
The history and philosophy of mathematics are discussed in a seminar setting. All students in this course must complete a project wherein familiar questions asked by high school math students are examined and answered in depth. Also, students are required to read and make a presentation on an article from an approved mathematics education journal. Department assessment of the major is included. This course is designed to be a capstone experience taken during the fall semester of the senior year.