Mathematics Undergraduate Catalogue

Department Chairperson: Kapila Rohan Attele

Faculty: Victor Akatsa, Kapila Rohan Attele, Jan-Jo Chen, Johng-Chern Chern, Dawit Getachew, Daniel J. Hrozencik, Lixing (Adam) Jia, Paul Musial, Richard Solakiewicz, Luis Vidal-Ascon, Guang-Nay Wang, and Asmamaw Yimer.

The Department of Mathematics and Computer Science offers a Bachelor of Science degree in Mathematics with two options: (a) Mathematics and (b) Secondary Teaching. Within the Mathematics Option, a student may take an actuarial science concentration. The built-in flexibility of the Mathematics Option will prepare students for careers in banks, insurance, industry, and government or to pursue advanced degrees in mathematics.

Completion of the Secondary Teaching Option in Mathematics qualifies students for an Illinois Professional Educator License (PEL) with an endorsement for teaching mathematics for grades 9–12 and a middle grade endorsement in mathematics for grades 6–8 provided it the program is completed and the middle grade endorsement issued by January 31, 2018, when new middle grade endorsement rules will come into effect.

Licensure requires the successful completion of the Illinois Licensure Tests of Academic Proficiency (TAP) or equivalent, Mathematics Content Area, and Assessment of Professional Teaching (Secondary 6–12). The secondary teaching program meets Illinois State Board of Education (ISBE) standards in mathematics education.

The Department offers a minor sequence in mathematics. It will provide students majoring in other disciplines access to more potent professional tools and help them to gain a deeper understanding of their own fields.

All entering freshmen and transfer students who intend to major in a mathematics program are required to take the university placement examination in mathematics. These students may not register for any mathematics or computer science course until they have taken the examinations. These examinations are designed to place students into the appropriate mathematics course from Applied Intermediate Algebra to Calculus. Students may not use MATH 0880, 0900, 0950, 0980, 0990, 160 or 161 toward satisfying general education mathematics or university graduation requirements. Credit will not be given for any mathematics course that is a prerequisite for a course in which a grade of C or better has already been earned.

Mathematics Option (with concentrations in Mathematics and Actuarial Science)

General Requirements

Admission to the program is contingent upon completion of MATH 1210 or MATH 1250 with a grade of C or higher, cumulative grade point average of 2.0 or higher, and acceptance by the department.

The department will not accept D grades in any required major courses or required supportive courses, either as transfer credit or completed at Chicago State University.

Requirements include completion of 120 credit hours of work: 39 hours in general education (as listed in this catalog for the College of Arts and Sciences); 44 hours in mathematics; 15 hours of supportive courses; 22 hours in electives selected with the departmental advisor's approval; writing of a honors thesis; and passing the examination on the state and federal constitutions.

By demonstrating proficiency, a student may be able to obtain credit for certain mathematics and computer science courses at the recommendation of the department.

Specific Requirements (Mathematics Concentration)

9 credit hours in physical and life sciences selected from biology, chemistry, physics, and physical science, including at least one laboratory course.

REQUIRED COURSES (44 CREDIT HOURS)

MATH 1900, 2200, 2300, 1410 or 1415, 1420, 2430, 2550, 4110, and 4940; one of the following: MATH 4210, 4230, or 4250; one of the following : MATH 4410 or 4450; one of the following in applied mathematics: MATH 3510, 3520, 3820, 4510, 4520, 4600, or 4650; two additional courses selected from the above or MATH 2800, 3210, 3800, 4710, 4900.

REQUIRED SUPPORTIVE COURSES (15 CREDIT HOURS)

CPTR 1100; Physical and life sciences elective that must be selected from biology, chemistry, physics, and physical science (three additional credit hours); nine additional credit hours selected from accounting, biology, botany, chemistry (1550 or above), computer science (above 1100), economics, mathematics (2810 only), physics or zoology. At least two courses must be from the same discipline.

ELECTIVE COURSES (22 CREDIT HOURS)

22 credit hours of electives selected with the department advisor's approval.

Specific Requirements (Actuarial Science Concentration)

REQUIRED COURSES (44 CREDIT HOURS)

MATH 1900, 1410 or 1415, 1420, 2200, 2300, 2430, 2550, 3630, 3800, 4110, 4600, 4650, and 4940; one of the following: MATH 2800, 3510, 3520, 3820, 4230, 4240 or 4900.

REQUIRED SUPPORTIVE COURSES (15 CREDIT HOURS)

Physical and life sciences selected from biology, chemistry, physics, and physical science: three additional credit hours; complete one of the following two sets of courses: CPTR 1100, ACCT 2110 and 2111, and FIN 2660; or CPTR 1100, ACCT 2110, FIN 2660 and 3680. ECON 1010 and 1020 are strongly recommended to fulfill the general education social science requirement.

ELECTIVE COURSES (22 CREDIT HOURS)

22 credit hours of electives selected with the department advisor's approval.

Secondary Teaching Option in Mathematics

To be considered for recommendation for admission to the College of Education, students must have:

  • completed with a grade of C or higher MATH 1420 and two 4000-level mathematics courses;
  • completed with a grade of C or higher or be concurrently enrolled in MATH 2430 and MATH 4110;
  • passed the Illinois State Test of Academic Proficiency (TAP) or the equivalent; and
  • a GPA of 2.5 or higher in 1000-level and above mathematics courses.

General Requirements

Students must:

  • pass the examination on the state and federal constitutions.
  • complete 120 credit hours: 39 credit hours in general education, 50 credit hours in area of specialization, 27 credit hours in professional education, and 4 credit hours in elective courses.
  • Write a honors thesis.

Specific General Education Requirements

GENERAL EDUCATION (39 CREDIT HOURS)

The 3 hours in mathematics is satisfied by the major. In addition, the nine credit hours in physical and life sciences must include a two-course science laboratory sequence. Also, the nine hours in social sciences must be chosen from the following: HIST 1300 or 1310 or POL 1010; PSYC 1100 and 2040.

AREA OF SPECIALIZATION (50 CREDIT HOURS)

REQUIRED MATHEMATICS COURSES (47 CREDIT HOURS)

MATH 1900, 1410 or 1415, 1420, 2200, 2300, 2430, 4010, 4020, 4250, 4110, 4450 or 4410, 4600, and 4710; at least six additional hours selected from MATH 2550, 2800, 3210, 3510, 3520, 3820, 4210, 4230, 4410, 4450, 4510, 4650, 4800, 4840, 4900 or 4940.

REQUIRED SUPPORTIVE COURSES: (3 CREDIT HOURS)

MATH 1092 or pass state teacher certification subject matter test in mathematics; MATH 2810 or three additional hours in the physical and life sciences (biology, chemistry, physics, and physical science).

PROFESSIONAL EDUCATION (27 CREDIT HOURS)

ED 1520 and 2000; PSYC 2020; S ED 4301 and 4303*; ED 4500*; READ 4100*; CAS 2630*, MATH 4000* and 4005*. Course must be passed with at least a grade of C. * Restricted to students admitted to the College of Education.

Students enrolling in mathematics classes must receive at least a grade of C in all prerequisites.

Minor in Mathematics (24-26 credit hours)

The requirements for minors must be completed prior to graduation in order for the minor to appear on the transcript. For more information about minors, see the department advisor.

Required Courses (15 credit hours)

MATH 1410 or 1415, 1420, 2430, 2200

Elective Courses (9-11 credit hours.)

Three additional mathematics courses from MATH 2550, 2800, or those numbered 4230 or above

Mathematics (MATH) Course offerings

Students enrolling in mathematics classes must receive at least a grade of C in all prerequisite mathematics and computer science courses. 

0880 TUTORIAL ALGEBRA (1)

Prerequisite: Mathematics Placement Examination.
Elementary geometry, signed numbers, percents, ratios, linear equations, exponents, operations on polynomials, and applications. Credit does not count toward graduation; graphing calculator is required.

0910 ILLINOIS TEACHER CERTIFICATION REVIEW OF BASIC SKILLS IN MATHEMATICS (1)
Prerequisite: Completion of mathematics requirements in the student's major or consent of the department.
Review of mathematics concepts, skills, and problem solving to prepare for the basic skills mathematics portion of the state teacher certification examination. May be repeated. Credit may not be used toward graduation.

0990 APPLIED INTERMEDIATE ALGEBRA (4, 8)
Prerequisite: Mathematics Placement Examination.
Level 1: Elementary geometry, signed numbers; applications of percents, ratios, and linear equations; equations of lines, exponents, operations on polynomials. Level 2: More in-depth study of Level 1 topics; systems of equations, graphing, rational expressions, quadratics, and radicals. Credit does not count toward graduation. Graphing calculator is required. Additional Course Fee.

1010 CONCEPTS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I /4 (3)
Prerequisite: MATH 0990 or by Mathematics Placement Examination; READ 1500; ENG 1280 (or concurrent enrollment).
Patterns and problem solving, numeration systems, functions, algorithms for whole numbers, integer, decimal, and rational number operations (addition, subtraction, multiplication, division), divisibility tests, GCD, LCM, ratio and proportion, percents, statistical graphs, measures of central tendency and variation. IAI: M1 903.

1020 CONCEPTS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II /4 (3)
Prerequisite: MATH 1010.
Points, lines, planes, curves, angles, three-dimensional figures, congruence, similarity, construction, English system, metric system, perimeter, area, volume, Pythagorean theorem, and probability. IAI: M1 903.

1092 ILLINOIS MATHEMATICS TEACHER CERTIFICATION REVIEW (1)
Corequisite: MATH 2430 and consent of the department.
Review of mathematics concepts and problem solving to prepare for state teacher certification examination. May be repeated. Credit does not count toward graduation.

1200 COLLEGE ALGEBRA /4 (3)
Prerequisite: MATH 0990 or by Mathematics Placement Examination.
Equations and inequalities, rectangular coordinates, lines, functions and their graphs, polynomials and rational functions, exponential and logarithmic functions, and systems of equations. Graphing calculator required.

1210 COLLEGE ALGEBRA AND TRIGONOMETRY /4 (3)
Prerequisite: MATH 1200, by Mathematics Placement Examination, or HON 1300 and HON 1310.
Exponential and logarithmic functions, systems of equations, trigonometric functions, solution of triangles, mathematical induction, sequences, polar coordinates, and conics. Graphing calculator required.

1250 PRECALCULUS MATHEMATICS /6 (5)
Prerequisite: MATH 0990 or consent of the department.
Sets; real numbers, theory and application of functions and inverse functions, trigonometric functions, complex numbers, exponentials and logarithms, matrices and determinants, and vectors. Graphing calculator required.

1400 BASIC CALCULUS (3)
Prerequisite: MATH 1200, MATH 1250, or by Mathematics Placement Examination or HON 1300 and HON 1310.
Functions and limits, the derivative and its applications, the integral and its applications. Graphing calculator required. IAI: M1 900.

1410 CALCULUS I (4)
Prerequisite: MATH 1210, MATH 1250, or by Mathematics Placement Examination.
Limits and continuity; derivatives of algebraic and trigonometric functions; chain rule applications, such as extreme problems, related rates, and graphing; anti-derivatives; definite integral applications, such as area, volume, work, and force. Graphing calculator required. IAI: M1 900, EGR 901, MTH 901.

1415 CALCULUS FOR LIFE SCIENCES I (4)
Prerequisite: MATH 1210, MATH 1250, or by Mathematics Placement Examination.
Sequences, difference equations, discrete time models, limits, continuity, differentiation and anti-differentiation of algebraic, trigonometric, and transcendental functions, chain rule, applied problems on maxima and minima, equilibria and stability, basic differential equations, and the fundamental theorem of calculus. CAS, modeling, and imaging programs. Strong emphasis on biological models using real biological data. Course fee.

1420 CALCULUS II (4)
Prerequisite: MATH 1410, MATH 1415, or by Mathematics Placement Examination; for math majors only: MATH 1900 (or concurrent enrollment).
Calculus of the exponential, logarithmic, and trigonometric functions; techniques of integration; L'Hospital's rule; improper integrals; infinite series; and polar coordinates. Graphing calculator required. IAI: M1 900, EGR 902, MTH 902.

1500 INTRODUCTION TO FINITE MATHEMATICS (3)
Prerequisite: MATH 1200, MATH 1250, by Mathematics Placement Examination, or HON 1300 and HON 1310.
Probability; model building; linear programming; matrices. Emphasis on applications in business and social science. Graphing calculator required. IAI: M1 906.

1600 BASIC PROBABILITY AND STATISTICS (3)
Prerequisite: MATH 1200, MATH 1250, by Mathematics Placement Examination, or HON 1300 and HON 1310.
Sample spaces; set functions; probability; random variables; probability distributions; mean, median, and standard deviations; sampling; hypothesis testing; tests concerning means. Graphing calculator required. IAI: M1 902.

1700 INTRODUCTION TO MATHEMATICAL THOUGHT (3)
Prerequisite: MATH 0990 or by Mathematics Placement Examination.
Mathematical reasoning and solving real-world problems. In depth study of three or four of the following topics: geometry, counting techniques and probability, graph theory, logic/set theory, mathematical modeling, game theory, and linear programming. Graphing calculator required. IAI: M1 904.

1800 QUANTITATIVE LITERACY (3)
Prerequisite: MATH 0990 or by Mathematics Placement Examination; READ 1500.
Develops conceptual understanding for problem solving and decision making; uses analytic skills, including statistical measures, graphs of functions, estimation, and selection and use of appropriate approaches for formulating and solving real-world problems. Graphing calculator required. May be taken before or after MATH 1700. IAI: M1 901.

1900 INTRODUCTION TO MATHEMATICS PROFESSIONS (1)
Prerequisite: MATH 1210.
A survey of career opportunities for mathematics professionals in industry, government, and education. Overview of the skills, training, strategies, and education required for the various occupations and mathematics curricula. Introduction to the resources available to aid the mathematics major. May not be used to fulfill general education requirements.

2200 LINEAR ALGEBRA (3)
Prerequisite: MATH 1210, MATH 1250, or by Mathematics Placement Examination .
Matrices and vectors; transformations and matrices; matrix and vector products; determinants; applications. Graphing calculator required.

2300 INTRODUCTION TO HIGHER MATHEMATICS (3)
Prerequisite: MATH 1420.
Techniques of proof through the study of concepts used in higher mathematics courses. Set theory, logic, epsilon-delta proofs, proof by contradiction, equivalence relations, functions, cardinality, and mathematical induction.

2430 CALCULUS III (4)
Prerequisite: MATH 1420; MATH 2200 (or concurrent enrollment) or PHYS 2110 (or concurrent enrollment).
Parametric equations, vectors and vector functions, calculus of functions of several variables, gradients, multiple integrals, line integrals, Green's theorem. Graphing calculator required. IAI: M1 900, EGR 903, MATH 903.

2550 DIFFERENTIAL EQUATIONS (4)
Prerequisite: MATH 2430.
First order differential equations with applications; numerical methods, linear differential equations with applications, power series, and Laplace transforms. IAI: EGR 904 MTH 912.

2800 DISCRETE MATHEMATICS (3)
Prerequisite: CPTR 1100, MATH 1200 or MATH 1250, or HON 1300 and HON 1310.
Relations, functions, permutations, combinations, sets, logic, Boolean algebra, and graph theory. Credit is given for only one of the following: MATH 300, MATH 303, or MATH 2800. IAI: M1 905, CS 915.

2810 INTRODUCTION TO RESEARCH IN BIO-MATHEMATICS /4 (3)
Prerequisite: MATH 2200; BIOL 1070 and 1080.
Introduction to mathematical software in biological modeling, difference equations in Microsoft Excel, matrix methods, eigen values, linearization and stability, equilibria. Further topics may include phylogenetics, population dynamics, and ecology. Data will be collected in the field. Term paper required. Credit is not given for both MATH 2810 and BIOL 2810.

3210 MATHEMATICAL LOGIC (3)
Prerequisite: MATH 1410 or 1415 and MATH 2300 or consent of the department.
A formal study of the propositional calculus and the predicate calculus, including formal semantics and axiomatizations. Completeness theorems for both systems will be proven.

3510 MATHEMATICAL METHODS OF PHYSICS I (3)
Prerequisite: PHYS 2330; MATH 2200; MATH 2550.
Coordinate systems, vector analysis, boundary value problems, matrices and tensors, complex variables. Credit will not be given to both PHYS 3450 and MATH 3510 or MATH 4800.

3520 MATHEMATICAL METHODS OF PHYSICS II (3)
Prerequisite: PHYS 3450 or MATH 3510.
Special functions, Fourier analysis, Green's functions, calculus of variations, nonlinear methods and chaos, and probability. Study of applications of mathematics to physics. Credit not given for both PHYS 4460 and MATH 3520.

3630 REVIEW FOR ACTUARIAL EXAMINATION 100 /3 (2)
Prerequisite: Grade of C or better in MATH 2200, 1410, 1420, 2430, and 2550.
Specifically designed for preparation for Actuarial Examination 100. Emphasis on problem solving. Practice examinations.

3800 THEORY OF INTEREST (3)
Prerequisite: MATH 1420.
Measure of interest, accumulated and present value factors, annuities certain, yield rates, amortization schedules and sinking funds, bonds and related securities. Spreadsheets used.

3820 LINEAR PROGRAMMING (3)
Prerequisite: MATH 2200 or 1500.
Linear equations, problem formulation, simplex method, duality theory, post-optimal analysis, transportation problem, and game theory.

4000 METHODS OF TEACHING MATHEMATICS IN SECONDARY SCHOOLS (GRADES 6-12) /FIELD (3)
Prerequisite: MATH 2200, 2430, 4100; admission to College of Education; MATH 1092 (or concurrent enrollment), CAS 2630 (or concurrent enrollment), MATH 4010 (or concurrent enrollment) or CPTR 1100 (or concurrent enrollment), ED 4500 (or concurrent enrollment) and READ 4100 (or concurrent enrollment); consent of the department.
Methods of teaching high school grades 9-12 and middle school grades 6-8. Thirty hours of tutoring middle grade and high school grade students. May not be used toward mathematics requirements for a major or minor in mathematics.

4005 STUDENT TEACHING AND SEMINARSECONDARY LEVEL /FIELD (6)
Prerequisite: Admission to the College of Education, completion of all course work required in the program with a grade of C or higher, a GPA of 2.5 or higher in all course work, a GPA of 2.5 or higher in the area of specialization, consent of the department, and a passing score on the subject matter/content area certification test within the last 5 years.

Off-campus placement in secondary schools in two or more grade levels. University and cooperating school supervision. Five full days including seminar for 16 weeks. No other courses may be taken during the semester of student teaching. May not be used to satisfy mathematics requirements for a major or minor in mathematics.

4010 TECHNOLOGY IN THE HIGH SCHOOL MATHEMATICS CLASSROOM (3)
Prerequisite: One 3000-level or higher mathematics course.
Appropriate technological tools, including spreadsheets, geometry software, computer algebra systems, statistical packages, graphing calculators, data-collection devices, and presentation software. Additional course fee.

4020 MATHEMATICS FOR HIGH SCHOOL TEACHERS (3)
Prerequisite: MATH 2430, MATH 4110, and one additional 3000-level or higher mathematics course (or concurrent enrollment).
Advanced perspective in mathematics for pre-service and in-service high school teachers; topics include geometry, functions, numbering systems, and proofs. Course work require writing in the AMS format a significant project and its presentation. Satisfies the University undergraduate thesis requirement. 

4040 NUMBER THEORY FOR MIDDLE SCHOOL TEACHERS (3)
Prerequisite: MATH 1020, MATH 1200, or HON 1300 and HON 1310; and a 2000-level mathematics course.
Prime numbers. Euclidean algorithm. Greatest common divisors and least common multiples. Modular arithmetic. Diophantine equations. Integration of the content in elementary and middle school. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Options.

4050 GEOMETRY FOR MIDDLE SCHOOL TEACHERS (3)
Prerequisite: MATH 1020, MATH 1200 or equivalent, or HON 1300 and HON 1310; and a 2000-level mathematics course.
Incidence relation, angles, congruence, measurement, compass-and-straightedge constructions, circles, similarity, right-triangle trigonometry, area, volume, coordinate geometry in two and three dimensions, polygons, arcs, and arc length. Integration of content in the elementary and middle school. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Option.

4060 MODERN ALGEBRA FOR MIDDLE SCHOOL TEACHERS (3)
Prerequisite: MATH 1020 or MATH 1200, or HON 1300 and HON 1310 or equivalent; and a 2000-level mathematics course.
An introduction to modern algebra. Topics chosen from groups, rings, fields, and their applications. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Option.

4070 HISTORY OF MATHEMATICS FOR MIDDLE SCHOOL TEACHERS (3)
Prerequisite: MATH 1400 and MATH 4050 or equivalent.
The historical basis of numeration, operations, geometry, algebra, trigonometry, and calculus. The cultural aspect of mathematics and its contributions to knowledge and learning. Integration of content in the elementary and middle school. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Option.

4110 GEOMETRY (3)
Prerequisite: MATH 1410 or 1415 and 2300; and one unit of high school plane geometry (regular or honors) with a grade of C or higher, MATH 4050, or equivalent.
Incidence geometry, distances, measure, congruences, inequalities, parallel postulate, perpendicular lines and places, similar triangles, polygons, circles and spheres, and construction with ruler and compass. (A writing emphasis course.)

4210 ELEMENTARY NUMBER THEORY (3)
Prerequisite: MATH 1410 or 1415, 2200, and 2300.
Properties of integers, divisibility, greatest common divisors, primes, congruences, Diophantine equations, arithmetic functions, and quadratic residues.

4230 MATRICES AND LINEAR TRANSFORMATIONS (3)
Prerequisite: MATH 1420 and 2200.
Vector spaces, bases, dimensionality, linear transformations, determinants, matrices, matrix inversion, rank, and equivalence.

4250 INTRODUCTION TO MODERN ALGEBRA I (3)
Prerequisite: MATH 1420, 2200 and 2300.
Basic properties of groups, order, cyclic groups and their structure theorems. Normal subgroups, cosets and Lagrange's theorem, group homomorphisms, factor groups, direct products, and the isomorphism theorems; permutation groups. Basic properties of rings, integral domains, fields, ideals, and ring homomorphisms; polynomial and power series rings.

4260 INTRODUCTION TO MODERN ALGEBRA II (3)
Prerequisite: MATH 4250.
Group action, conjugacy classes, class equation, Cauchy's theorem and p-groups, and applications of Sylow theorems. Principal ideal domains, Euclidean domains, and unique factorization domains. Maximal and prime ideals, rings of matrices, and polynomial rings of several variables. At instructor's discretion more topics from finite fields and/or coding theory and topics for undergraduate research in algebra.

4410 INTRODUCTION TO REAL VARIABLES (3)
Prerequisite: MATH 2300 and 2430.
Real numbers, real functions, limits, continuity, uniform continuity, differentiability, mean value theorems, and theory of the Riemann integral.

4450 INTRODUCTION TO COMPLEX VARIABLES (3)
Prerequisite: MATH 2300 and 2430.
Complex numbers and complex space, differentiation and integration of elementary functions, infinite series, Taylor and Laurent expansions, and Cauchy's theorems and applications.

4510 NUMERICAL ANALYSIS I (3)
Prerequisite: MATH 2430.
Solution of linear systems by direct and iterative methods, matrix inversion, evaluation of determinants, characteristic values and vectors of matrices, application of boundary value problems in ordinary differential equations, and numerical solution of partial differential equations.

4520 NUMERICAL ANALYSIS II (3)
Prerequisite: MATH 4510.
Continuation of mathematics 4510.

4600 INTRODUCTION TO STATISTICS LECTURE AND LABORATORY /5 (4)
Prerequisite: MATH 1420.
Descriptive statistics, discrete and continuous random variables, expectation, distribution functions, central limit theorem, point estimation, confidence intervals, and hypothesis testing. SAS laboratory. Additional course fee.

4650 PROBABILITY AND MATHEMATICAL STATISTICS (3)
Prerequisite: MATH 2430 and 4600.
Moment generating functions, transformations of random variables, Bayes Theorem, sufficiency, likelihood estimators, Chi-square tests, and regressions and contingency tables. SAS used.

4710 HISTORY OF MATHEMATICS (3)
Prerequisite: MATH 1420 and 4110 or equivalent.
Chronological survey of the growth and contributions of mathematics to knowledge and learning.

4800 MATHEMATICAL METHODS OF PHYSICS (3)
Prerequisite: MATH 2550 and at least one calculus-based physics course.
Coordinate systems, vector analysis, special functions, Fourier analysis, Green's functions, boundary value problems, matrices, and tensors. Credit not given for both PHYS 3450/345 and MATH 4800/350.

4840 INTRODUCTION TO OPERATIONS RESEARCH (3)
Prerequisite: MATH 2200 or 1500; and MATH 1400, 1410, or 1415.
Linear programming, game theory, dynamic programming, graph theory and Markov chains. Emphasis on applications in business, industry, and behavioral sciences.

4900 SPECIAL TOPICS IN MATHEMATICS (13)
Prerequisite: To be determined by instructor and consent of the department.
Topics of current mathematical interest. May be repeated for credit if different topics are presented.

4920 MATHEMATICS INTERNSHIP (36)
Prerequisite: Grade of C or higher in three 3000-level mathematics courses, earned 80 semester hours toward a baccalaureate degree, and a major in mathematics, or consent of the department. A student project or activity in a mathematics environment outside the department where the techniques of mathematics are applied in an essential way. Activity to be performed must be approved in advance by the department. A written final report is required. Course may be repeated for a total of up to nine semester hours.

4940 MATHEMATICS SEMINAR (3)
Prerequisite: MATH 2430 and nine credit hours of mathematics courses numbered 4230 or above.
Investigation of mathematical models in fields such as natural sciences, social sciences, business, and engineering. Scientific calculators, graphing calculators, and current computer software will be used. Specific topics will vary.

Course work require writing in the AWS format a significant project and its presentation. Satisfies the University undergraduate thesis requirement.