#### Overview

With an associate degree in mathematics from Trevecca, students will begin to apply higher level mathematics to real-world situations. Students will be challenged to look at new forms of mathematics, as well as mathematics from new perspectives and dimensions. Graduates of this program will be prepared for a number of fields including mathematics, mathematics education, physics, engineering, chemistry, finance and law. This degree will not only prepare students for entry into their desired field, but will also prepare them to easily transition into a number of programs, including:

- Pure Math
- Applied Math
- Secondary Math Education
- Physics
- Applied Physics
- Physics Education
- Chemistry

Students graduating with this degree will have introductory knowledge of:

- Understanding and constructing mathematical proofs.
- Solving significant problems using mathematical methods and appropriate technology.
- Expressing mathematical ideas, both verbally and in writing.

#### Faculty

#### News

#### Core Classes

### Calculus I

MAT 1510

A study of Cartesian and polar coordinates, parametric equations, vectors and vector-valued functions in 2 and 3 dimensions, limits, differentiation of functions with applications, integration of functions with applications, Taylor polynomials, and series. It is strongly recommended that students take PHY 2110 and PHY 2120 concurrently with MAT 1510 and MAT 1520, respectively.

**Course Hours:**
4

### Calculus II

MAT 1520

A study of Cartesian and polar coordinates, parametric equations, vectors and vector-valued functions in 2 and 3 dimensions, limits, differentiation of functions with applications, integration of functions with applications, Taylor polynomials, and series. It is strongly recommended that students take PHY 2110 and PHY 2120 concurrently with MAT 1510 and MAT 1520, respectively.

**Course Hours:**
4

### Calculus III

MAT 2510

A study of partial derivatives and multiple integrals and additional topics in vector-valued functions.

**Course Hours:**
4

### Perspectives in Mathematics

MAT 1400

An introduction to mathematical thought for students, especially freshmen, who are interested in a mathematics major or minor, or for any student interested in learning about some important ideas and uses of mathematics. Several contemporary mathematical topics will be studied, such as recently solved problems, orders of infinity, Fermat's last theorem, Tangles and knot theory, cryptography, the fourth dimension, the four-color theorem, topology, or fractals and chaos. Graded S, U.

**Course Hours:**
1

### Introduction to Abstract Mathematics

MAT 2600

Study of basic ideas and methods of mathematics including sets, logic, proof techniques, relations, functions, mathematical induction, and modular arithmetic. Prerequisite or corequisite: MAT 1520.

**Course Hours:**
3

## Core Options:

Students within Trevecca's Associate of Mathematics Degree program will choose one of the following courses:

### Mathematical Methods for Physical Science and Engineering

PHY 2550

Designed to give accelerated access to upper level physical science courses by providing, in one semester, the essential background in mathematical methods. Course content may include multivariable calculus, linear algebra, complex functions, vector calculus, differential equations, and special functions. Lecture.

### Introduction to Mathematical Modeling

MAT 2810

Introduction to the basics of mathematical modeling, emphasizing model construction, analysis and application. Using examples from a variety of fields such as physics, biology, chemistry, business, economics, and other non-mathematical disciplines, students will learn how to develop and use both discrete and continuous mathematical models of real-world systems. Computer software will be used, but primary emphasis will be placed on achieving a mental understanding of the relationship described within the models.

### Theory of Probability and Mathematical Statistics

MAT 3000

Probability of sample spaces, random variables, discrete and continuous probability distributions. Analysis of the principles of descriptive and inferential statistics.

### Differential Equations

MAT 3020

An introduction to ordinary differential equations, including linear and nonlinear equations with applications, power series solutions, and Laplace transforms.

### Linear and Matrix Algebra

MAT 3090

Linear equations, vector operations, matrices, determinants, linear transformations, eigenvalues and eigenvectors, singular values and singular vectors, canonical forms, polynomial functions of matrices, vector spaces, and related topics.

#### Overview

With an associate degree in mathematics from Trevecca, students will begin to apply higher level mathematics to real-world situations. Students will be challenged to look at new forms of mathematics, as well as mathematics from new perspectives and dimensions. Graduates of this program will be prepared for a number of fields including mathematics, mathematics education, physics, engineering, chemistry, finance and law. This degree will not only prepare students for entry into their desired field, but will also prepare them to easily transition into a number of programs, including:

- Pure Math
- Applied Math
- Secondary Math Education
- Physics
- Applied Physics
- Physics Education
- Chemistry

Students graduating with this degree will have introductory knowledge of:

- Understanding and constructing mathematical proofs.
- Solving significant problems using mathematical methods and appropriate technology.
- Expressing mathematical ideas, both verbally and in writing.