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Traditional Mathematics

Traditional Mathematics

Program Description

Galileo called mathematics the language of the universe. Understanding that language opens up a wide range of rewarding careers. Whether your interests run to applied or theoretical math, at AUM you’ll get the skills and knowledge you need to put math to work in the real world. You’ll have two options to choose from: Traditional Mathematics or Mathematics Education, a joint program with the Department of Curriculum, Instruction, and Technology for students who want to teach in secondary schools. In addition, the department offers a two-year pre-engineering program for those who want to get their foundational engineering work in mathematics before transferring to an institution that offers the engineering degree.

You'll concentrate your studies in one of three areas:

  • Traditional Mathematics
  • Mathematics Education
  • Pre-Engineering

Points of Pride

  • The department hosts the Southern Algebra Conference in rotation with several other universities.
  • The AUM Math and Computer Science Department has three student clubs — the Math Club, Engineering Club, and Association for Computing Machinery (ACM) Student Chapter.  The ACM Student Chapter has recently received funding from Student Government Association for building an arcade game system. 
  • Each year professors select and train students to compete in the Mathematical Association of America Southeastern Section (MAA-SE) Math Jeopardy and ACM Southeast Regional Intercollegiate Programming Contest.
  • Students who attend Super Computing Conferences can be awarded travel grants.

Put Your Degree to Work

Note: While salaries vary depending on several factors including your level of experience, education and training, and geography and industry, here is a sampling of the future job growth and salaries in this area.

With a degree in mathematics, you’ll be able to choose from an abundance of higher-than-average paying jobs as businesses and government continue to need employees who can analyze big data. Employment growth of math occupations is expected to be higher than average — 28 percent from 2014 to 2024.  The most recent median annual wage of $80,270 is higher than the median annual wage of all occupations.


U.S Bureau of Labor statistic sample

Jobs

Median Pay

Job Growth through 2024

Mathematician

$103,720 per year

21% (700 more jobs)

Statistician

$79,990 per year

34% (10,100 more jobs)

Actuary

$96,700 per year

18% (4,400 more jobs)

For More Information

Department of Mathematics and Computer Science
Auburn University at Montgomery
Goodwyn Hall 213
334-244-3677
dmangus@aum.edu

Soaring Warhawks

  • Blake Boswell is a Senior Statistician and Developer at Booz Allen Hamilton, Washington, D.C.
  • Jim Bertagnolli is a Software Developer for in Epic Systems Corporation in Wisconsin.
  • Sarah Sulkosky earned the Doctor of Veterinary Medicine degree and is a Captain in the U.S. Army.
  • Alyssa Bennet is in the Ph.D. program at the University of Alabama with a full assistantship.
  • Dexter Herrel is a Ph.D. student at the University of  Alabama at Birmingham with a full assistantship.
  • Vincent Heningburg is in the University of Tennessee at Knoxville math Ph.D. program.
  • Kev Johnson is in the math Ph.D. program at Baylor University.
  • Kev Johnson and Jim Bertagnolli each won a Patterson Award (of only 8 awarded) for Best Undergraduate Talk at the 2013 Southeastern Section Meeting of the Mathematical Association of America, Winthrop University, Rock Hill, SC.

Program Overview

The course listings below are a representation of what this academic program requires. For a full review of this program in detail please see our official online catalog AND consult with an academic advisor. This listing does not include the core curriculum courses required for all majors and may not include some program-specific information, such as admissions, retention and termination standards.

Course sampling specific to the Mathematics major includes:


Course # Course Name Course Description
MATH 1610 Calculus I Basic principles of differential and integral calculus, including the Fundamental Theorem of Calculus.  Includes applications in the management, natural and social sciences, including rates and optimization.

MATH 1620

Calculus II

A continuation of MATH 1610, Calculus I. Applications of the definite integral, techniques of integration, indeterminate forms, improper integrals, polar coordinates, numerical integration, infinite series, Taylor's Theorem, and power series.

MATH 2630

Multivariable Calculus

A continuation of MATH 1620 Calculus II. Vectors and curvilinear motion; partial derivatives; gradient and its applications; multivariable Chain Rule; maxima and minima, including Lagrange multipliers; double and triple integration; line integrals; Green's Theorem; surface integrals; Divergence Theorem; Stokes' Theorem. Prerequisite MATH 1620.

 

MATH 2660

Linear Algebra

Algebra of Matrices, systems of linear equations, vector spaces, subspaces, bases, coordinization, linear transformations and their matrix representations, determinants, eigenvalues, and diagonalization.

 

MATH 4670

Mathematical Statistics I

Basic probability theory, discrete and continuous distributions, discrete bivariate distributions, distribution functions of random variables, the Central Limit Theorem, basics of statistical inference including point estimation, interval estimation, hypothesis testing, and simple regression.

 

MATH 4200

Discrete Mathematics

Combinatorial reasoning and problem solving, including graph theory, counting principles, permutations and combinations and combinatorial modeling.

 

MATH 4300

Number Theory

Mathematics of the integers, divisibility, primes, unique factorization, congruences and residues. Diophantine problems and number theoretic functions.

 

MATH 4210

Analysis I

The Least Upper Bound axion and order properties of the real line, sequences, series, continuous functions, fixed point theory. Emphasis on the development of proofs by students.

 

MATH 4310

Modern Algebra I

An introduction to algebraic structures. Binary operations, groups, subgroups, groups of permutations, cyclic groups, normal subgroups, quotient groups, homomorphisms and isomorphisms, rings, integral domains, fields.

 

MATH 4220

Analysis II

A continuation of MATH 4210. Limits, derivatives, theory of the Riemann integral, sequences of functions, uniform convergence and power series. Emphasis on the development of proofs by students.

 

MATH 4320

Modern Algebra II

A continuation of MATH 4310. Ideals and quotient rings, ring homomorphisms, rings of polynomials, factorization, Euclidean rings, extension fields, selected additional topics.

MATH 4230

Complex Variables

Complex numbers, limits, differentiation, analytic functions, integration, conformal mappings and applications.

 

MATH 4950

Senior Seminar in Math

Student is guided in the presentation of a technical topic and completes an appropriate assessment test in college-level mathematics. Occupational and employment information and guidance offered.

 

Course sampling specific to Mathematics Education includes:

Course # Course Name Course Description

MATH 1150

Precalculus Algebra/Trigonometry

This course provides a foundation for calculus. Principal topics are polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities, binomial theorem; trigonometric and inverse trigonometric functions, solving triangles; trigonometric identities and equations; DeMoivre's Theorem, polar coordinates, and vectors.

MATH 4110

History of Mathematics

A first course beginning with Babylonian and Egyptian mathematics, including the contributions of the Greeks and the development of elementary mathematics through calculus.

 

MATH 4470

Foundations of Plane Geometry

Axiomatic development of plane geometry. Emphasis on the development of proofs by students.

 

MATH 4950

Senior Seminar in Math

Student is guided in the presentation of a technical topic and completes an appropriate assessment test in college-level mathematics. Occupational and employment information and guidance offered.

 

CSCI 2000

Intro to Computer Architecture

Introduction to the architecture and function of computers. Topics include microprocessors, memory, control units, storage, I/O systems, machine language, assembly language, high-level languages, functional organization, relationship between computer architecture and system software.

 

 

Course sampling specific to Pre-Engineering includes:

Course # Course Name Course Description

PHYS 2100

General Physics I

A treatment of statics, mechanics, heat and thermodynamics intended for technical majors. Calculus-based procedures employed frequently. With PHYS 2101 lab.

PHYS 2200

General Physics II

A treatment of electricity, magnetism, wave phenomena, sound and optics intended for technical majors. Calculus-based procedures employed frequently. With PHYS 2201 lab.

 

ENGR 1110

Introduction to Engineering

Professional engineering history, modern branches, standards, and licensing.  Introduction to computer software packages in engineering problems.  Communications and design (written, oral, and graphical) in engineering.  Collaboration and teamwork in engineering projects.

 

ENGL 3030

Technical Writing

Designed to help the pre-engineering and science majors organize and communicate technical information. Includes a series of short reports, a proposal for research and a longer researched report. Emphasis on research, style and organization strategies, with some attention given to visual presentations of information and interpretation of data.