Bachelor of Science in Discrete Mathematics - General

Certain areas of mathematics have become increasingly important over the past thirty years due to the introduction of computing into nearly every aspect of science, technology, and business. These are the branches of mathematics that are devoted to the study of discrete as opposed to continuous structures. Methods of discrete mathematics are used whenever objects are to be counted, when the relationships between finite sets are examined, and when processes involving a finite number of steps are studied. These methods become essential when, for example, computer algorithms are analyzed, transportation networks or communications systems are designed, or when optimal schedules are sought.

Many problems associated with the transmission and storage of information, the design of complicated circuits, or the identification of organic chemicals require the tools of discrete mathematics. Several fields of application, most notably operations research and computer science, not only use the techniques of discrete mathematics, but have also contributed significantly to the development of the subject. For this reason, the curriculum for the bachelor's degree program in discrete mathematics combines basic work in mathematics and science and advanced studies in discrete mathematics with substantial training in these areas of application.

After completion of the program's core requirements in the first two years, students take

Computer Science10
Industrial and Systems Engineering6
Approved Technical Electives in MATH, Computing, ECE, and Operations Research9
Senior Research Project4
Free Electives12
Total Credit Hours56

In addition to the Institute requirement of a grade-point average of at least 2.0, the School of Mathematics requires a grade of C or higher in

MATH 4022Intro to Graph Theory3
MATH 4107Abstract Algebra I3
MATH 4317Analysis I3

Students may count no more than two credit hours of coursework in physical education toward graduation. Only free electives and MATH 4999 in the degree program may be taken on a pass/fail basis, and no more than nine credit hours are allowed under this option.

Math Undergraduate Website

APPH 1040Sci Foundation of Health2
or APPH 1050 Sci of Phys Act & Health
Core A - Essential Skills
ENGL 1101English Composition I3
ENGL 1102English Composition II3
MATH 1552Integral Calculus4
Core B - Institutional Options
CS 1301Intro to Computing3
Core C - Humanities
Any HUM6
Core D - Science, Math, & Technology
PHYS 2211Intro Physics I 14
PHYS 2212Intro Physics II 24
MATH 1551Differential Calculus2
MATH 1553Intro to Linear Algebra2
Core E - Social Sciences
Select one of the following:3
United States to 1877
United States since 1877
American Government
Government of the U.S.
US Constitutional Issues
Any SS9
Core F - Courses Related to Major
CS 1331Intro-Object Orient Prog3
Lab Science4
MATH 2551Multivariable Calculus4
MATH 2406Abstract Vector Spaces3
MATH 2603Intro Discrete Math4
Upper-Level MATH
MATH 3012Applied Combinatorics3
MATH 3215Probability & Statistics3
MATH 4022Intro to Graph Theory 33
MATH 4080Senior Project I2
MATH 4090Senior Project II 2
MATH 4107Abstract Algebra I 33
MATH 4317Analysis I 33
Additional CS Coursework
CS 2050Intro Discrete Math CS3
or CS 2051 Honors Discrete Math CS
CS 3510Dsgn&Analysis-Algorithms 3
CS 2110Computer Organiz&Program4
CS 4510Automata and Complexity 3
Industrial Engineering Requirements
ISYE 3232Stochastic Mfg&Serv Sys 3
ISYE 3133Engineering Optimization3
or MATH 4580 Linear Programming
Technical Electives
Select nine credit hours from the following:9
Differential Equations
Coding Theory
Combinatorial Analysis
Abstract Algebra II
Intro To Number Theory
Stochastic Processes I
Stochastic Processes II
Monte Carlo Methods
Math Statistics I
Math Statistics II
Information Theory
Analysis II
Complex Analysis
Introduction to Topology
Algebraic Topology
Numerical Analysis I
Numerical Analysis II
Vector&Parallel Sci Comp
Quantum Info&Quant Comp
Systems and Networks
Processor Design
Languages and Computation
Computer Networking I
Computer Graphics
Advanced Algs
Intro-Signal Processing
Intro to Computer Engr
Digital Design Lab
Computer Arch & Oper Sys
Random Signals
Intro Systems & Control
Fund-Digital Signal Proc
Simulation Analy & Dsgn
Sply Chain Mod:Logistics
Sply Chain Mod:Manf&Ware
Honors Topics
Free Electives
Free Electives 512
Total Credit Hours122

Pass-fail only allowed for Free Electives.


If PHYS 2231 is taken, extra hour goes toward Free Electives.


If PHYS 2232 is taken, extra hour goes toward Free Electives.


Minimum grade of C required.


MATH 1113, MATH 3670, CEE 3770, and ISYE 3770 are restricted from counting towards Free Electives. Limit two credit hours of HPS coursework.

Business and Research Options

A student may elect to complete both the Business Option and the Research Option.

Completion of the Business and Research Options is noted by "Business Option" and "Research Option" designations on the student's transcript.

Math Undergraduate Website

Research Option

Select one of the following Research Options: 19
Research Assistantship
and Research Assistantship (for pay)
Undergraduate Research
and Undergraduate Research (for credit) 2
LMC 4701US Rsch Proposal Writing (take during the first or second semester of research) 31
LMC 4702US Rsch Thesis Writing (take during the thesis-writing semester) 41
Total Credit Hours11

supervised research with a faculty advisor over two to three semesters


Four credit hours of MATH 4699 may be used in place of MATH 4080 and MATH 4090 for the BS in Discrete Mathematics.


a short proposal on their research project is developed


prepare a research report (research paper, project report/thesis); and make an oral presentation of the project

Completion of this Research Option is noted by the designation "Research Option in Mathematics" on the student's transcript.

For more information, visit:

Math Undergraduate Website