traditional undergraduate on campus

Mathematics (associate degree)

Trevecca’s Associate of Science in mathematics is a two-year degree that gives you a solid foundation on which to build a career in mathematics or to continue your studies in a variety of fields. In the program, you’ll learn to understand and construct mathematical proofs, to express mathematical ideas verbally and in writing and to use mathematical methods and appropriate technologies to solve significant problems. 

Program Benefits

  • Learn from faculty who possess high degrees in their fields, who have relevant and valuable real-world experience and who make an effort to know you personally.
  • Enjoy our small class sizes and supportive campus community.
  • Earn a degree that allows you to transition seamlessly into a variety of four-year programs.


What to Expect

As a student in Trevecca’s mathematics associate degree program, you’ll learn to apply higher level mathematics to real-world situations as you are exposed to new forms and dimensions of the field. Core coursework gives you a strong base of knowledge in calculus, mathematical perspectives and abstract mathematics. Plus, the degree allows you to tailor your education by choosing from additional topics like mathematical methods for physical science and engineering, mathematical modeling, theory of probability and mathematical statistics, differential equations and more.

You’ll graduate the program with the ability to:

  • Understand and construct mathematical proofs.
  • Solve significant problems using mathematical methods and appropriate technology.
  • Express mathematical ideas, both verbally and in writing.


Why Choose Trevecca?

Founded in 1901 and a leader in online education for more than two decades, Trevecca helps students discover and pursue an individual calling by providing innovative instruction; cultivating a supportive, Christ-centered community; and establishing relationships that open doors.

Recognized nationally and locally for academic quality, Trevecca has earned a reputation for providing the world with servant leaders, problem solvers and difference makers. Trevecca’s holistic approach to education encompasses intellectual, social, emotional, physical and spiritual growth.

As a Christian university, we offer programs that explore the ways faith intersects with your field of study. This means you can gain your mathematics degree in a supportive, Christian community with small classroom sizes and engaged faculty members who care about you and who will help you establish a strong, biblical worldview.


Course Descriptions

Get details on all the courses you’ll complete as you work toward this degree at Trevecca.

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Financial Aid & Costs

Financial Aid & Costs

Nearly every student at Trevecca receives some form of assistance in paying for college. Learn all about the affordability of a TNU education and options for receiving aid.

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Career Opportunities

Your associate degree prepares you for a variety of careers in mathematics, education, physics, engineering, chemistry, finance and law. It also equips you to transition seamlessly into a four-year degree in programs such as pure mathematics, applied mathematics, secondary mathematics education, physics, applied physics, physics education and chemistry if you choose to do so.



Course Descriptions

Get details on all the courses you’ll complete as you work toward this degree at Trevecca.

Life, Calling, and Purpose
INT 1100
Students will begin a journey of self-awareness where they can identify their individual gifts and talents while considering how God can use their uniqueness within their field of interest. Goals of the course include building community, understanding leadership and service, and evaluating God's calling. Required of all first-time freshmen (those enrolling with less than 24 hours) who are younger than 24 years of age and have not taken a similar course at another accredited institution.
English Composition I
ENG 1020

Emphasizes the recursive writing process through appropriate determination of subject, audience, purpose, and style, with correct usage of grammar, punctuation, and logical organization. Students will use appropriate technologies for writing and learning.

English Composition II: Critical Reading, Writing, and Thinking
ENG 1080

Emphasizes intellectual and analytical reasoning through reading and writing assignments. Includes instruction in library and research technologies and the writing of a research project.

Speech Communication
COM 1010

A study of the principles and practices of effective human communication, with emphasis placed on public speaking. The course emphasizes the critical thinking and skill development necessary for effective speech. Listening skills are included in the study.

Introduction to Health and Wellness
HPE 1500

Designed to assist the student in their understanding and development of a healthy lifestyle. Emphasis is placed on the components and behaviors that promote lifelong, positive outcomes in the five dimensions of wellness: physical, emotional, intellectual, social, and spiritual. Includes a fitness laboratory component. Fee charged.

General Psychology
PSY 2010

General introduction to major areas of psychology with emphasis on the psychological bases for understanding human behavior. A recommended prerequisite to other psychology courses except PSY 2175.

Introduction to Biblical Faith
REL 2000

An introduction to Biblical faith and literature designed to help the student acquire a knowledge of the basic content of Scripture as well as be able to employ basic Bible study skills.

Christian Tradition
REL 3000

An introduction to theology as it has developed in the history of the church with a view to understanding the relation between faith and life. Special attention is given to understanding the doctrine of holiness.

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.

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.

Calculus III
MAT 2510

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

Introduction to Computer Technology for the Sciences
SCI 2150

A hands-on introduction to computer-based measurements, automation, and graphical programming for the sciences. The LabVIEW graphical programming environment will be introduced and used to write software applications that collect, display and analyze experimental data. Automated experiments in the areas of biology, chemistry and physics will be designed and implemented. Topics such as sensors, signals, data acquisition, error analysis, and noise will be explored. The use of standard office spreadsheet, word-processing, and presentation software for scientific data analysis and reporting will also be emphasized. Lecture and Lab. Fee charged.

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.

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.

Fine Arts
MUS 1500

Designed to give students a historical perspective of music, art, sculpture, and architecture from ancient times to modern times.

Music Appreciation
MUS 1550

Presents the basic building blocks of music and fosters attentive, intelligent listening to music of different genres and historical periods. Helps the students appreciate, understand, and develop critical thinking skills on selected genres, styles, and periods in the Western European tradition of music as well as examples of music from outside this tradition. Third-party fee required.


General Biology I
BIO 1510

An introduction to fundamental concepts in the biological sciences including the organization of living matter, cellular structure and function, food production by photosynthesis, energy harvest, mechanisms of cellular reproduction, genetics, and evolution. Discussions of current scientific issues will also be included. Lecture and lab. Fee charged.

General Chemistry I
CHE 1040

The first course in a one-year sequence for students planning further work in chemistry. Topics discussed include atomic structure, periodic relationships, bonding, molecular structure, chemical reactions, thermochemistry, solids, liquids, and gases. Lecture and lab. Fee charged.

General Physics I
PHY 2110
For students with an interest in science, engineering, and medicine. Includes mechanics, heat, sound, electricity and magnetism, light, and modern physics. Lecture and lab. Fee charged.


Mathematical Methods for Physical Science and Engineering
PHY 2550/MAT 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.

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.

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.

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.

General electives — 8 hours

*For a complete list of courses, tracks and other relevant information, view the program's course catalog.