*– John Carpenter*

# Mathematics

If the study of patterns and problem solving makes your life add up and you are ready for a challenge, then mathematics is for you. The academic rigor of TU’s math program is comprehensive in practice and theory, focusing on classes that include physics, analysis, topology and probability. Graduates of STEM programs become some of the highest paid in their field, so start your calculations now.

The Bachelor of Science Degree in Mathematics is an educational foundation for students desiring a career in mathematics or planning for graduate school in applied mathematics. Employers of students earning this degree are governmental, industrial and scientific organizations.

**Core Curriculum of the School of Arts & Sciences 49-50 hoursMathematics Major 54 hours**

- MAT287 Discrete Mathematics
- PHY211 General Physics I and Lab
- PHY212 General Physics II and Lab
- MAT387 Differential Equations
- MAT389 Introduction to Analysis
- MAT392 Abstract Algebra
- MAT394 Complex Analysis
- MAT340 Probability Theory
- MAT398 Game Theory
- MAT396 Linear Algebra
- MAT285 Calculus II
- MAT420 Topology
- MAT430 Number Theory
- MAT432 Set Theory
- MAT385 Calculus III
- SAS470 Internship

**Total BS hours 127-134**

*This is a sample course sequence to illustrate course offerings for this major. Consult the official Academic Bulletin for detailed registration and advising information.*

**On Campus** - Offered in a 15-week semester format with start dates of January and August

There are no related concentrations available

**Differential Equations (MAT387)** - This course studies methods for solving ordinary differential equations of first second and higher order. It includes applications, series, systems and numerical techniques. Differential equations are an excellent vehicle for displaying the interrelations between mathematics and the physical sciences. The student can see ways in which the solutions to specific problems have benefited from work of a more abstract nature.

**Introduction to Analysis (MAT389)** - The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.

**Abstract Algebra (MAT392)** - This course studies groups, rings, integral domains, fields and the development of various number systems. This course will provide the student with an introduction to the topics of abstract algebra so as to better understand its role in modern mathematics and its applications to other fields. In addition, this course will further develop the student’s problem-solving skills and ability to follow and to construct a rigorous mathematical proof.

**Complex Analysis (MAT394)** - This is an upper division course covering the following topics: the real number system , Sequences, limits, and continuous functions in R; the concept of a metric space, uniform convergence and the interchange of limit operations. Infinite series, Mean value theorem and applications, and the Riemann integral will also be studied in this one-semester class.

**Linear Algebra (MAT396)** - This course studies systems of linear equations, vector spaces, linear transformations and matrices. It includes applications and theories. Linear algebra is valuable in illustrating a number of mathematical thinking processes that arise not only in linear algebra, but also in many other mathematical subjects. Understanding these thinking processes greatly reduces the time and frustration involved in learning advanced mathematics as well as in solving mathematical problems in general. It is also useful in solving a variety of problems arising in physics, chemistry, statistics, business and other areas.

- Computer Systems Analyst
- Financial Advisor
- Mathematician
- Statisticians

This is a new program! Successful placements to come in the next few years …