BS - Mathematics - Discrete Mathematics and Operations Research Concentration 24

Program Information

The program of study leading to the Bachelor of Science with a major in Mathematics offers formal training in problem solving, critical and quantitative thinking and logical argument. It also provides a solid foundation in the application of analytical, geometrical, and numerical methods to real world problems. This program is highly customizable. In addition to a core set of mathematics courses, the program also requires completion of a concentration or minor that prepares the student for graduate study or for employment in various mathematics and statistics-related fields. The goal of this major is to assist students in acquiring both a deep understanding of mathematics and an ability to apply it to the science and industry.

Term 1

Requirement

Hours

ENGL 1101 English Composition I
ENGL 1101 English Composition I

3 Credits
A composition course focusing on skills required for effective writing in a variety of contexts, with emphasis on exposition, analysis, and argumentation, and also including introductory use of a variety of research skills.

3
POLS 1101 American Government
POLS 1101 American Government

3 Credits
This course examines the institutions and processes of American government and Georgia State government. Global comparisons are made between the governments of the U.S. and other modern nation-states.

3
ECON 1000 Contemporary Economic Issues
ECON 1000

Credits
Description not available

2
General Education Core Curriculum Mathematics & Quantitative Skills
General Education Core Curriculum Mathematics & Quantitative Skills

3 Credits
MATH 1113 or MATH 1190

3
General Education Core Curriculum Social Sciences
General Education Core Curriculum Social Sciences

3 Credits
HIST 1100 or HIST 1111 or HIST 1112

3

Total: 14

Term 2

Requirement

Hours

ENGL 1102 English Composition II
ENGL 1102 English Composition II

3 Credits
A composition course that develops writing skills beyond the levels of proficiency required by ENGL 1101, that emphasizes interpretation, and evaluation, and that incorporates a variety of more advanced research methods.
Prerequisites: (ENGL 1101 with a minimum grade of C
or ENGL 101 with a minimum grade of C)

3
CSE 1321 Programming Problem Solving I
CSE 1321

Credits
Description not available
Prerequisites: CSE 1321L** with a minimum grade of C

3
CSE 1321L Program Problem Solving I Lab
CSE 1321L

Credits
Description not available
Prerequisites: CSE 1321** with a minimum grade of C

1
General Education Core Curriculum Technology, Mathematics, and Sciences I
General Education Core Curriculum Technology, Mathematics, and Sciences I

4 Credits
MATH 1190 or MATH 2202 or MATH 1179

4
General Education Core Curriculum Political Science & US History
General Education Core Curriculum Political Science & US History

3 Credits
HIST 2111 or HIST 2112

3
General Education Core Curriculum Institutional Priorities
General Education Core Curriculum Institutional Priorities

3 Credits
BLCK 1102 or AMST 1102 or ASIA 1102 or GWST 1102 or LALS 1102 or LDRS 2300 or PAX 1102 or ISD 2700 or POLS 2401 or RELS 1102 or COMM 1100

3

Total: 17

Year 1 (Hours: 31)

Term 3

Requirement

Hours

MATH 2202 Calculus II
MATH 2202 Calculus II

4 Credits
This course is the second in the calculus curriculum and consists of two parts. The first part is concerned with the techniques of integration and applications of the integral. The second part is concerned with infinite sequences and series.
Prerequisites: MATH 1190 with a minimum grade of C
or MATH 1179 with a minimum grade of C
and MATH 1189 with a minimum grade of C

4
SCM 2000 Culture of Science and Math
SCM 2000 Culture of Science and Math

3 Credits
In this course, students will develop the skills and mindset of a scientist or mathematician through metacognitive exploration, reflection, and guided inquiry. In addition, students will apply appropriate social methods to build scientific and mathematical collaborations, emulating the modern STEM enterprise. Finally, students will learn to value an inclusive STEM environment and support measures that expand access for all students to STEM.

3
General Education Core Curriculum Arts and Humanities
General Education Core Curriculum Arts and Humanities

3 Credits
ENGL 2110 or ENGL 2120 or ENGL 2130 or PHIL 2010 or ENGL 2140 or FL 1001 or WLC 1002 or WLC 2209

3
General Education Core Curriculum Arts and Humanities
General Education Core Curriculum Arts and Humanities

3 Credits
ART 1107 or DANC 1107 or TPS 1107 or MUSI 1107

3
General Education Core Curriculum Technology, Mathematics, and Sciences II (1 of 2)
General Education Core Curriculum Technology, Mathematics, and Sciences II (1 of 2)

4 Credits
(CHEM 1151 and CHEM 1151L) or (CHEM 1211 and CHEM 1211L) or (PHYS 1111 and PHYS 1111L) or (PHYS 2211 and PHYS 2211L) or (BIOL 1107 and BIOL 1107L) or (CHEM 1212 and CHEM 1212L) or (PHYS 1112 and PHYS 1112L) or (PHYS 2212 and PHYS 2212L) or (BIOL 1108 and BIOL 1108L)

4

Total: 17

Term 4

Requirement

Hours

MATH 2203 Calculus III
MATH 2203 Calculus III

4 Credits
This course is the third in the calculus curriculum and is concerned with functions defined on regions in two or three dimensional space and that have values in one, two, or three dimensional space. Topics include partial derivatives, vector fields, multiple integrals, and applications of these topics.
Prerequisites: MATH 2202 with a minimum grade of C

4
MATH 2390 Intro Logic, Sets and Proofs
MATH 2390 Intro Logic, Sets and Proofs

3 Credits
This course introduces to students the foundations of logic, set theory and basic proof techniques. The course serves as a bridge from the procedural and computational understanding of mathematics to a broad understanding encompassing logical reasoning, generalization, abstraction, axiomatic approach and formal proof.
Prerequisites: MATH 2202 with a minimum grade of C

3
MATH 2306 Ordinary Differential Equation
MATH 2306

Credits
Description not available
Prerequisites: MATH 2202 with a minimum grade of C

3
General Education Core Curriculum Technology, Mathematics, and Sciences II (2 of 2)
General Education Core Curriculum Technology, Mathematics, and Sciences II (2 of 2)

4 Credits
(CHEM 1151 and CHEM 1151L) or (CHEM 1152 and CHEM 1152L) or (CHEM 1211 and CHEM 1211L) or (CHEM 1212 and CHEM 1212L) or (PHYS 1111 and PHYS 1111L) or (PHYS 1112 and PHYS 1112L) or (PHYS 2211 and PHYS 2211L) or (PHYS 2212 and PHYS 2212L) or (BIOL 1107 and BIOL 1107L) or (BIOL 1108 and BIOL 1108L)

4
General Education Core Curriculum Social Sciences
General Education Core Curriculum Social Sciences

3 Credits
CRJU 1101 or GEOG 1101 or PSYC 1101 or SOCI 1101 or STS 1101 or ANTH 1102 or ECON 2106

3

Total: 17

Year 2 (Hours: 34)

Term 5

Requirement

Hours

MATH 3332 Probability Theory
MATH 3332 Probability Theory

3 Credits
This course is an introduction to probability theory. Topics include counting techniques, discrete and continuous univariate and multivariate random variables, expectation, moment generating functions, and the Central Limit Theorem.
Prerequisites: MATH 2203 with a minimum grade of C

3
MATH 3204 Calculus IV
MATH 3204 Calculus IV

3 Credits
This course is the fourth in the calculus curriculum and is concerned with the change of variables for integrals on two and three dimensional regions, line integrals, surface integrals, Green?s theorem, and Stokes theorem. The analogue of Stokes? theorem (the theorem of Gauss) for integrals of functions on three-dimensional parametric regions will also be studied.
Prerequisites: MATH 2203 with a minimum grade of C

3
MATH 3260 Linear Algebra I
MATH 3260 Linear Algebra I

3 Credits
An introduction to linear algebra and some of its classical and modern applications. Among topics to be included will be systems of linear equations, matrices, determinants of matrices and applications, vector spaces, and inner product spaces. Significant use of technology will be employed in performing matrix computations.
Prerequisites: MATH 1190 with a minimum grade of C
or MATH 1179 with a minimum grade of C
and MATH 1189 with a minimum grade of C

3
Related Studies (1 of 3) Students select nine credits of 2000 or above coursework from the following prefixes: ACCT, AADS, AMST, ANTH, ATT, ACST, ARCH, ANIM, ART, ARED, ARH, ASIA, BIOL, BUSA, BLAW, CHEM, CHIN, CE, CET, COM, JOUR, MENT, ORGC, PR, CPE, CGDD, CS, CSE, CM, CRJU, CYBR, DATA, DANC, ECE, ECON, EDUC, EDMG, EDRD, ECET, EE, ENGR, EDG, ENGL, ENVS, EUST, ES, FILM, FIN, FTA, HEBR, FREN, GWST, GEOG, GRMN, HPE, HIST, HON. HMGT, HS, IET, ISYE, IS, IT, IAD, HIS, INTS, ISD, STS, EURO, ITAL, JPN, KOR, ICT, LATN, LRS, MATH, ME, MET, MTRE, MUSI. PAX, PERS, PHIL, PHYS, POLS. PORT, PSYC, RELS, REET, RUSS, SOCI, SWE, SPAN, STAT, SA, SURV, TCOM, or WRIT.
Related Studies (1 of 3) Students select nine credits of 2000 or above coursework from the following prefixes: ACCT, AADS, AMST, ANTH, ATT, ACST, ARCH, ANIM, ART, ARED, ARH, ASIA, BIOL, BUSA, BLAW, CHEM, CHIN, CE, CET, COM, JOUR, MENT, ORGC, PR, CPE, CGDD, CS, CSE, CM, CRJU, CYBR, DATA, DANC, ECE, ECON, EDUC, EDMG, EDRD, ECET, EE, ENGR, EDG, ENGL, ENVS, EUST, ES, FILM, FIN, FTA, HEBR, FREN, GWST, GEOG, GRMN, HPE, HIST, HON. HMGT, HS, IET, ISYE, IS, IT, IAD, HIS, INTS, ISD, STS, EURO, ITAL, JPN, KOR, ICT, LATN, LRS, MATH, ME, MET, MTRE, MUSI. PAX, PERS, PHIL, PHYS, POLS. PORT, PSYC, RELS, REET, RUSS, SOCI, SWE, SPAN, STAT, SA, SURV, TCOM, or WRIT.

3 Credits
@ 2@ or @ 3@ or @ 4@

3
Free Elective (1 of 2)
Free Elective (1 of 2)

4 Credits
Free Elective (1 of 2)

4

Total: 16

Term 6

Requirement

Hours

MATH 3322 Graph Theory
MATH 3322 Graph Theory

3 Credits
This course serves as an introduction to the basic principles of graph theory. Topics include but are not limited to graph representations, isomorphisms, paths, cycles, colorings, trees, matchings, planarity, graph algorithms, and optimization.
Prerequisites: MATH 2345 with a minimum grade of C
or MATH 2390 with a minimum grade of C

3
MATH 3324 Enumerative Combinatorics
MATH 3324 Enumerative Combinatorics

3 Credits
This course is an introduction to classical combinatorics and the theory of counting. Topics include the twelvefold way, combinatorial proof, the principle of inclusion/exclusion, and generating functions.
Prerequisites: MATH 2345 with a minimum grade of C
or MATH 2390 with a minimum grade of C

3
Related Studies (2 of 3) Students select nine credits of 2000 or above coursework from the following prefixes: ACCT, AADS, AMST, ANTH, ATT, ACST, ARCH, ANIM, ART, ARED, ARH, ASIA, BIOL, BUSA, BLAW, CHEM, CHIN, CE, CET, COM, JOUR, MENT, ORGC, PR, CPE, CGDD, CS, CSE, CM, CRJU, CYBR, DATA, DANC, ECE, ECON, EDUC, EDMG, EDRD, ECET, EE, ENGR, EDG, ENGL, ENVS, EUST, ES, FILM, FIN, FTA, HEBR, FREN, GWST, GEOG, GRMN, HPE, HIST, HON. HMGT, HS, IET, ISYE, IS, IT, IAD, HIS, INTS, ISD, STS, EURO, ITAL, JPN, KOR, ICT, LATN, LRS, MATH, ME, MET, MTRE, MUSI. PAX, PERS, PHIL, PHYS, POLS. PORT, PSYC, RELS, REET, RUSS, SOCI, SWE, SPAN, STAT, SA, SURV, TCOM, or WRIT.
Related Studies (2 of 3) Students select nine credits of 2000 or above coursework from the following prefixes: ACCT, AADS, AMST, ANTH, ATT, ACST, ARCH, ANIM, ART, ARED, ARH, ASIA, BIOL, BUSA, BLAW, CHEM, CHIN, CE, CET, COM, JOUR, MENT, ORGC, PR, CPE, CGDD, CS, CSE, CM, CRJU, CYBR, DATA, DANC, ECE, ECON, EDUC, EDMG, EDRD, ECET, EE, ENGR, EDG, ENGL, ENVS, EUST, ES, FILM, FIN, FTA, HEBR, FREN, GWST, GEOG, GRMN, HPE, HIST, HON. HMGT, HS, IET, ISYE, IS, IT, IAD, HIS, INTS, ISD, STS, EURO, ITAL, JPN, KOR, ICT, LATN, LRS, MATH, ME, MET, MTRE, MUSI. PAX, PERS, PHIL, PHYS, POLS. PORT, PSYC, RELS, REET, RUSS, SOCI, SWE, SPAN, STAT, SA, SURV, TCOM, or WRIT.

3 Credits
@ 2@ or @ 3@ or @ 4@

3
MATH 3261 or MATH 3262
MATH 3261 or MATH 3262

3 Credits
MATH 3261 or MATH 3262

3
MATH 3272 or ISYE 3400
MATH 3272 or ISYE 3400

3 Credits
MATH 3272 or ISYE 3400

3

Total: 15

Year 3 (Hours: 31)

Term 7

Requirement

Hours

MATH 4361 Modern Algebra I
MATH 4361 Modern Algebra I

3 Credits
An introduction to the fundamental structures of abstract algebra (groups, rings, and fields), the connections of these structures with the algebra studied at the elementary level, and the historical development of modern algebra. The emphasis in this course is on groups.
Prerequisites: MATH 2390 with a minimum grade of C
and MATH 3260 with a minimum grade of C

3
MATH 4381 Real Analysis I
MATH 4381 Real Analysis I

3 Credits
This course provides a rigorous introduction to the calculus of a single real variable and a deeper awareness of the theory of calculus than can be achieved in the elementary calculus courses. Among the topics covered in the course are completeness of the number system, elementary topology of the real line, limits of sequences, and limits and continuity of functions. The aim of this course is two-fold, to provide an understanding of the nature of the real number system and its role in the theory of calculus, and to provide a training in the discovery and writing of rigorous mathematical proofs.
Prerequisites: MATH 2390 with a minimum grade of C

3
ISYE 4200 Engr Optm Stochastic Dec Mdls
ISYE 4200 Engr Optm Stochastic Dec Mdls

3 Credits
Modeling and solution of decision problems under uncertainty. Topics include Markov Chains, stochastic programming, stochastic dynamic programming, theory, utility theory and simulation. Computer solution techniques are emphasized.
Prerequisites: (ISYE 3400 with a minimum grade of C
or MATH 3272 with a minimum grade of C)
and (ISYE 2600 with a minimum grade of C
or STAT 2332 with a minimum grade of C
or MATH 3332 with a minimum grade of C)
and MATH 2202 with a minimum grade of C

3
Upper-Division Elective
Upper-Division Elective

3 Credits
MATH 3@ or MATH 4@ or STAT 3@ or STAT 4@ or CRJU 3301 or CS 4306 or FIN 3100 or IS 3100 or ISYE 4500 or ISYE 3400 or ISYE 3600 or SOCI 4432

3
Related Studies (3 of 3) Students select nine credits of 2000 or above coursework from the following prefixes: ACCT, AADS, AMST, ANTH, ATT, ACST, ARCH, ANIM, ART, ARED, ARH, ASIA, BIOL, BUSA, BLAW, CHEM, CHIN, CE, CET, COM, JOUR, MENT, ORGC, PR, CPE, CGDD, CS, CSE, CM, CRJU, CYBR, DATA, DANC, ECE, ECON, EDUC, EDMG, EDRD, ECET, EE, ENGR, EDG, ENGL, ENVS, EUST, ES, FILM, FIN, FTA, HEBR, FREN, GWST, GEOG, GRMN, HPE, HIST, HON. HMGT, HS, IET, ISYE, IS, IT, IAD, HIS, INTS, ISD, STS, EURO, ITAL, JPN, KOR, ICT, LATN, LRS, MATH, ME, MET, MTRE, MUSI. PAX, PERS, PHIL, PHYS, POLS. PORT, PSYC, RELS, REET, RUSS, SOCI, SWE, SPAN, STAT, SA, SURV, TCOM, or WRIT.
Related Studies (3 of 3) Students select nine credits of 2000 or above coursework from the following prefixes: ACCT, AADS, AMST, ANTH, ATT, ACST, ARCH, ANIM, ART, ARED, ARH, ASIA, BIOL, BUSA, BLAW, CHEM, CHIN, CE, CET, COM, JOUR, MENT, ORGC, PR, CPE, CGDD, CS, CSE, CM, CRJU, CYBR, DATA, DANC, ECE, ECON, EDUC, EDMG, EDRD, ECET, EE, ENGR, EDG, ENGL, ENVS, EUST, ES, FILM, FIN, FTA, HEBR, FREN, GWST, GEOG, GRMN, HPE, HIST, HON. HMGT, HS, IET, ISYE, IS, IT, IAD, HIS, INTS, ISD, STS, EURO, ITAL, JPN, KOR, ICT, LATN, LRS, MATH, ME, MET, MTRE, MUSI. PAX, PERS, PHIL, PHYS, POLS. PORT, PSYC, RELS, REET, RUSS, SOCI, SWE, SPAN, STAT, SA, SURV, TCOM, or WRIT.

3 Credits
@ 2@ or @ 3@ or @ 4@

3

Total: 15

Term 8

Requirement

Hours

Free Elective (2 of 2)
Free Elective (2 of 2)

3 Credits
Free Elective (2 of 2)

3
MATH 4382 or MATH 4362
MATH 4382 or MATH 4362

3 Credits
MATH 4382 or MATH 4362

3
MATH 4260 or ISYE 3600
MATH 4260 or ISYE 3600

3 Credits
MATH 4260 or ISYE 3600

3

Total: 9

Year 4 (Hours: 24)

Program Total: 120 Hours

Milestones: All courses indicated as a Milestone with this icon ( ) should be completed in the term suggested to prevent delays in program completion.

Disclaimer: An academic map is a suggested four-year schedule of courses based on degree requirements in the KSU undergraduate catalog. This sample schedule serves as a general guideline to help build a full schedule each term. Some departments allow students to use the three credit first-year seminar course as a free elective for a degree program, which may impact the program's total credit hours. Milestones, courses, and special requirements necessary for timely progress to complete a major are designated to keep you on track to graduate in four years. Missing milestones could delay your program. Enrolled Students should reference DegreeWorks and not this plan.

This map is not a substitute for academic advisement—contact your advisor if you have any questions about scheduling or about your degree requirements. Also see the current undergraduate catalog (catalog.kennesaw.edu) for a complete list of requirements and electives. Note: Requirements are continually under revision, and there is no guarantee they will not be changed or revoked; contact the department and/or program area for current information.

You may choose to attend a summer term to reduce your load during fall or spring terms but still stay on track to graduate in four years.

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Phone: 470-578-6000

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Phone: 470-578-6000

BS - Mathematics - Discrete Mathematics and Operations Research Concentration 24

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