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Programs

# Undergraduate Mathematics Program Course Requirements

## Core Course Requirements for the Undergraduate Mathematics Program

• MAT 205 - Discrete Mathematics I

An introduction to set theory, logic, relations, functions, sequences, algorithms, number theory and combinatorics.

• MAT 212 - Introduction to Statistics *MA/DC

A study of elementary concepts and procedures basic to inquiry in science, sociology, psychology and other areas; frequency distributions, normal distributions; measure of central tendency and dispersion; probability; samples and populations; correlation and regression; chi-square test; analysis of variance, hypothesis testing. A working knowledge of basic algebra is needed. Fulfills Ursuline Core Curriculum Math requirement. *MA/DC

• MAT 221 - Calculus I *MA/DC

This course covers functions, limits and rates of change, derivatives, application of differentiation, integrals, and applications of integration. Fulfills Ursuline Core Curriculum Math requirement. *MA/DC

• MAT 222 - Calculus II *MA/DC

This course covers inverse functions, techniques of integration, further applications of integration, parametric equations and polar coordinates, and infinite sequences and series. Fulfills Ursuline Core Curriculum Math requirement. *MA/DC

• MAT 223 - Calculus III

This course covers vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, and vector calculus.

• MAT 310 - Number Theory

An introduction to mathematical proof and mathematics beyond the beginning level, including a study of the divisibility properties of integers, prime numbers, linear and quadratic congruencies, and primitive roots.

• MAT 311 - Abstract Algebra

Fundamental concepts of abstract algebra, groups, rings, integral domains and fields.

• MAT 312 - Higher Geometries

Development of postulation systems, critical study of Euclidean geometry as related to other geometries, including projective,elliptical and hyperbolic.

• MAT 313 - Linear Algebra

Vectors, real vector spaces, bases, linear transformations, matrix algebra, determinants, applications of matrices to linear programming in fields of business, economics, sociology, politics and biology.

• MAT 324 - Differential Equations

Topics studied are the common types of differential equations and their applications.

• MAT 350 - Introduction to Analysis

• MAT 401 - Seminar

To minor in Mathematics, you need to take the following courses:

• MAT 212 - Introduction to Statistics
• MAT 221 - Calculus I
• MAT 222 - Calculus II
• MAT 223 - Calculus III
• MAT 313 - Linear Algebra
• MAT 412 - Advanced Statistics
• Elective Mathematics Courses:
• MAT 206 - Discrete Mathematics II
• MAT 412 - Advanced Statistics
• MAT 420 - History of Mathematics

In addition, undergraduate students are also required to complete the Ursuline Core Curriculum.