The department of mathematics at The University of Alabama provides a rigorous program that offers broad exposure to various aspects of mathematics including pure mathematics, applied mathematics, statistics, and math education. The department promotes undergraduate research experience with faculty involved in research projects in many different areas of mathematics.

## Programs

The department of mathematics offers a major in mathematics that culminates in a bachelor of science (BS) degree. The department also offers minors in mathematics and mathematical statistics, as well as mathematics education in the College of Education.

## Faculty

##### Chair

- Cruz-Uribe, David

##### Undergraduate Director

- Gleason, Jim

##### Professors

- Allen, Paul J.
- Corson, Jon M.
- Cruz-Uribe, David
- Dixon, Martyn R.
- Evans, Martin
- Gleason, Jim
- Hadji, Layachi
- Halpern, David C. M. J.
- Liem, Vo Thanh
- Moore, Robert L.
- Olin, Robert F.
- Sidje, Roger
- Sun, Min
- Wang, James L.
- Zhao, Shan

##### Associate Professors

- Belbas, Stavros
- Dai, Shibin
- Moen, Kabe
- Roberts, Lawrence
- Trace, Bruce S.
- Zhu, Wei

##### Assistant Professors

- Ames, Brendan
- Beznosova, Oleksandra
- Chen, Yuhui
- Ferguson, Timothy
- Kwon, Hyun-Kyoung
- Makowski, Martha
- Rasoulzadeh, Mojdeh
- Tosun, Bulent
- Xu, Yangyang

## Courses

This course is intended to give an overview of topics in finite mathematics with applications. This course covers mathematics of finance, logic, set theory, elementary probability and statistics. This course does not provide sufficient background for students who will need to take Precalculus Algebra or Calculus.

A higher-level course emphasizing functions including polynomial functions, rational functions, and the exponential and logarithmic functions. Graphs of these functions are stressed. The course also includes work on equations, inequalities, systems of equations, the binomial theorem, and the complex and rational roots of polynomials. Applications are stressed. Grades are reported as A, B, C or NC (No Credit). Degree credit will not be granted for both MATH 115 and (MATH 112 or MATH 113).

Properties and graphs of exponential, logarithmic, and trigonometric functions are emphasized. Also includes trigonometric identities, polynomial and rational functions, inequalities, systems of equations, vectors, and polar coordinates. Grades are reported as A, B, C, or NC (No credit). Degree credit will not be granted for both MATH 115 and (MATH 112 or MATH 113).

A brief overview of calculus primarily for students in the Culverhouse College of Commerce and Business Administration. This course does not provide sufficient background for students who will need higher levels of Calculus. Note: This course does not satisfy the requirement for MATH 125 or 126. Degree credit will not be granted for both MATH 121 and MATH 125 or MATH 145.

This is the first of three courses in the basic calculus sequence. Topics include the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the definite integral. Applications of the derivative are covered in detail, including approximations of error using differentials, maxima and minima problems, and curve sketching using calculus. There is also a brief review of selected precalculus topics at the beginning of the course. Degree credit will not be granted for both MATH 121 and MATH 125 or MATH 145.

This course covers the same material as MATH 125 but in a depth appropriate for honors students. It is the first course in the three part honors calculus sequence for students majoring in mathematics, science or engineering. Topics include limits, continuity, differentiation, applications of differentiation, and integration. Applications of the derivative are covered in detail, including approximation of errors using differentials, maxima and minima problems, curve sketching, optimization problems, and Newton’s method. Topics on integration include Riemann sums, properties of definite integrals, integration by substitution and integrals involving logarithmic exponential and trigonometric functions.

This is the second of three courses in the basic calculus sequence. Topics include vectors and the geometry of space, applications of integration, integration techniques, L'Hopital's Rule, improper integrals, parametric equations, polar coordinates, conic sections and infinite series.

This course covers the same material as MATH 126 but in a depth appropriate for honors students. It is the second course in the three part honors calculus sequence for students majoring in mathematics, science or engineering. Topics include vectors and the geometry of space, L'Hospital's Rule, applications of integration, integration techniques, improper integrals, infinite series, conic sections, plane curves, parametric equations, and polar coordinates.