Mathematics Course Descriptions
NOTE: To enroll in any 400level course, students must be admitted to the Upper Division; to enroll in a 400(G)level course in which there are graduate students, students must have junior or higher standing.

MATH 102  Quantitative Reasoning
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Critical thinking and applications of mathematical concepts to realworld topics such as descriptive statistics, growth and decay models, and finance. Graphing calculator required. Designed for students in nontechnical fields and may be used as a prerequisite for MATH 206, MATH 210 and STAT 214 only.
Prereq: Minimum ACT MATH score of 19 or SAT MATH score of 460, departmental exam, or Intermediate Algebra with a grade of “C” or better. Only one of MATH 102, MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109, MATH 143 may be used for degree credit. 
MATH 103  Applied College Algebra Fundamentals
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Functions and graphs including linear functions, quadratic and other polynomial functions, exponential and logarithmic functions; zeros of polynomial functions; systems of equations and inequalities. Graphing calculator required.
Prereq: Minimum ACT Math score of 19 or SAT MATH score of 460, departmental placement exam or Intermediate Algebra with a grade of “C” or better. Only one of MATH 102, MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109, or MATH 143 may be used for degree credit.
Coreq: MATH 104
LCCN: CMAT 1203 
MATH 104  Applied College Algebra Fundamentals Practicum
2 Credit(s). 0 Hour(s) Lab. 2 Hour(s) Lecture.
Integrated as part of MATH 103.
Prereq: Minimum ACT Math score of 19 or SAT MATH score of 460, departmental placement exam or Intermediate Algebra with a grade of “C” or better. Only one of MATH 102, MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109 or MATH 143 may be used for degree credit.
Coreq: MATH 103
Grading Option: CR, NC 
MATH 105  Applied College Algebra
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Functions and graphs, including linear functions, quadratic functions, other polynomial functions, exponentials and logarithmic functions; zeros of polynomial functions, systems of equations and inequalities. Graphing calculator required.
Prereq: Minimum ACT MATH score of 21 or SAT MATH score of 500 or departmental placement exam. Only one of MATH 102, MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109 or MATH 143 may be used for degree credit.
LCCN: CMAT 1203 
MATH 106  Applied College Algebra Practicum
1 Credit(s). 1 Hour(s) Lab. 0 Hour(s) Lecture.
This course is a lab course in support of MATH 105.
Prereq: Minimmum ACT math score of 21 or or SAT MATH score of 500, departmental placement exam, or Intermediate Algebra with a grade of “C” or better.
Coreq: MATH 105
Grading Option: CR, NC 
MATH 107  College Algebra and Quantitative Reasoning
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Elementary models of real world situations and use of technologies. Modeling linear, quadratic and exponential functions and their graphs, systems of linear equations, algebraic patterns and proportional reasoning. Graphing calculator required.
Prereq: Minimum ACT math score of 19 or SAT MATH score of 460, departmental placement exam, or Intermediate Algebra with a grade of “C” or better. Only one MATH 102, MATH 103 amd MATH 104, MATH 105, MATH 107, MATH 109, MATH 143 may be used for degree credit.
Rstr: Education majors only. 
MATH 109  PreCalculus Algebra
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Algebraic, exponential and logarithmic functions for students preparing to study calculus. Graphing calculator required.
Prereq: Minimmum ACT math score of 23 or SAT MATH score of 540, departmental placement exam, or MATH 103 and MATH 104 or MATH 105 with a minimum grade of “C”. Only one MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109 may be used for credit.
LCCN: CMAT 1213 
MATH 110  PreCalculus Trigonometry and Function Theory
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Trigonometric and inverse trigonometric functions, equations, and graphs, fundamental trigonometric identities, and the polar coordinate system. Graphing calculator required.
Prereq: Minimum ACT math score of 24 or SAT MATH score of 560, or MATH 109 with a minimum grade of “C”.
LCCN: CMAT 1223 
MATH 117  Number Sense for PK8 Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Languageintensive study of the Number Strand as it develops sequentially from grades preK through 8. Number sense, natural connections among the big ideas in mathematics, patterns and problem solving, and use of numbers in familiar, real situations.
Prereq: Minimum ACT math score of 19 or SAT MATH score of 460, Intermediate Algebra with a grade of “C” or better, or MATH 107 with a grade of “C” or better.
Rstr: Education majors only 
MATH 143  PreCalculus Algebra and Trigonometry
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Algebraic and trigonometric concepts required for calculus. Graphing calculator required.
Prereq: Minimum ACT MATH score of 26 or SAT MATH score of 590 or departmental exam. Only one of MATH 102, MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109, or MATH 143 may be used for degree credit.
LCCN: CMAT 1233. 
MATH 206  Mathematics of Finance
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Simple and compound interest, annuities, and related topics. Graphing calculator required
Prereq: Minimum ACT math score of 25 or SAT MATH score of 570 or credit in MATH 102, MATH 103 and MATH 104, or MATH 105 . 
MATH 210  Practical Mathematics
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Calculator usage, exact and approximate measurement, variation and percent applications, logarithms, geometric calculations, applied trigonometry.
Prereq: Minimum ACT math score of 25 or SAT MATH score of 570 or credit in MATH 102, MATH 103 and MATH 104 , or MATH 105 . 
MATH 217  Geometry and Measurement for PK8 Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Measurement and geometry with a focus on understanding and explaining mathematical concepts. Systems of measurement, plane figures, properties of polygons, three dimensional figures, area and perimeter, volume and surface area, geometric patterns, estimation, problem solving and number concepts integrated within the real world situations.
Prereq: Minimum ACT MATH score of 25 or SAT MATH score of 570. A grade of “C” or better in MATH 117 and one of the following: MATH 107, MATH 103 and MATH 104, or MATH 105.
Rstr: Education majors only. 
MATH 250  Survey of Calculus
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Applications in the biological and social sciences and business. Not equivalent to MATH 270. Graphing calculator required.
Prereq: Minimum ACT math score of 25 or SAT MATH score of 570, and credit in MATH 103 and MATH 104 or MATH 105 or MATH 109 or MATH 143 with a grade of “C” or better.
LCCN: CMAT 2103 
MATH 251  Honors Survey of Calculus
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Rstr: Permission of the department required. 
MATH 270  Calculus I
4 Credit(s). 0 Hour(s) Lab. 4 Hour(s) Lecture.
Definitions, properties, and applications of derivatives and integrals. Graphing calculator required.
Prereq: Minimum ACT math score of 28 or SAT MATH score of 630, MATH 109 and MATH 110 with a grade of “C” better, or MATH 143 with a grade of “C” or better or permission of department required.
LCCN: CMAT 2114. 
MATH 272  Honors Calculus I
4 Credit(s). 0 Hour(s) Lab. 4 Hour(s) Lecture.
Rstr: Permission of the department required. 
MATH 300  Calculus for Biological Science
4 Credit(s). 0 Hour(s) Lab. 4 Hour(s) Lecture.
Definitions, properties, and applications of derivatives and integrals.
Prereq: MATH 250 or MATH 251 with a grade of “C” or better or permission of instructor required. 
MATH 301  Calculus II
4 Credit(s). 0 Hour(s) Lab. 4 Hour(s) Lecture.
Integration, applications and modeling, infinite series. Graphing calculator required.
Prereq: MATH 270 or MATH 272 with grade of “C” or better.
LCCN: CMAT 2124. 
MATH 302  Calculus III
4 Credit(s). 0 Hour(s) Lab. 4 Hour(s) Lecture.
Partial derivatives, multiple integrals, vector fields in the plane and in space. Graphing calculator required
Prereq: MATH 301 or MATH 309 with a grade of “C” better. 
MATH 309  Honors Calculus II
4 Credit(s). 0 Hour(s) Lab. 4 Hour(s) Lecture.
Rstr: Permission of department required. 
MATH 310  Honors Calculus III
4 Credit(s). 0 Hour(s) Lab. 4 Hour(s) Lecture.
Rstr: Permission of department required. 
MATH 317  Probability, Statistics and Number Systems for PK8 Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Descriptive statistics, probability, patterns, development of number systems and their properties, and problem solving through real world situations. Understanding and proper use of mathematical language.
Prereq: MATH 117 and MATH 217 with a grade of “C” or better.
Rstr: Education majors only. 
MATH 320  History of Mathematics
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
The historical development of mathematics from ancient times to the present day. Emphasis on topics covered in high school courses.
Prereq: MATH 250 or MATH 270, MATH 251or MATH 272 with a grade of “C” or better or permission of department required. 
MATH 327  Proportional Reasoning and Problem Solving for Teachers
34 Credit(s).
Variety of plausible contexts emphasizing the central role of proportional reasoning in the world and within school mathematics; perseverance, modeling skills, and creativity.
Prereq: MATH 109 or MATH 143 or MATH 270 or MATH 272 with a grade of “C” or better or permission of department required, or MATH 317 with a grade of “C” or better.
Rstr: Education majors only. 
MATH 350  Differential Equations
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
First and second order equations, higher order equations, series solutions of second order equations, the Laplace transform, first order systems. Applications.
Prereq: MATH 301 or MATH 309 with a grade of “C” or better. 
MATH 360  Fundamentals of Mathematics
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Logic, relations, functions, classification of infinite sets, cardinal numbers. Reading and writing proofs.
Prereq: MATH 250 or MATH 270, MATH 272 or MATH 251 a grade of “C” or better. 
MATH 362  Elementary Linear Algebra
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Algebra of ntuples and matrices. Vector spaces with emphasis on ntuples. Basis and dimension. Change of coordinates. Eigenvalues and eigenvectors.
Prereq: MATH 250 or MATH 270, MATH 272 or MATH 251 with a grade of “C” or better. 
MATH 371  Undergraduate Research
3 Credit(s).
Rstr: Permission of department required. 
MATH 413(G)  Problem Solving for Secondary Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Nonroutine problems from number theory, proportional reasoning, functions, counting techniques, probability, geometry, linear algebra. Relating these topics to the teaching of secondary mathematics.
Prereq: MATH 360 with a grade of “C” or better. 
MATH 414(G)  Number Theory and Abstract Algebra for Secondary Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Equivalence classes, congruence modulo n, divisibility theorems and the Euclidean Algorithm. Introduction to semigroups, abelian and nonabelian groups, rings, and fields. Homomorphisms and isomorphisms. Relating these topics to the teaching of secondary mathematics.
Prereq: MATH 360 with a grade of “C” or better. 
MATH 430(G)  College Geometry
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Euclidean and nonEuclidean geometry, presented intuitively and rigorously.
Prereq: MATH 360 with a grade of “C” or better. 
MATH 435(G)  Introduction to Topology
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Topological spaces and properties.
Prereq: MATH 360 with a minimum grade of “C” or better. 
MATH 440(G)  Vector Analysis
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Vector algebra, vector calculus, applications in physics and engineering.
Prereq: MATH 302 with a grade of “C” or better. 
MATH 450(G)  Mathematical Modeling
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Development of mathematical models arising in various areas of application in the physical, biological, and social sciences.
Prereq: MATH 350 with a grade of “C” or better and working knowledge of FORTRAN. 
MATH 451(G)  Biomathematics I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Development and analysis of discretetime models in biology.
Prereq: MATH 301 with a grade of “C” or better. 
MATH 452(G)  Biomathematics II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Development and analysis of continuoustime models in biology.
Prereq: MATH 350 with a grade of “C” or better. 
MATH 455(G)  Numerical Methods
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Computer applications for the solution of systems of equations, polynomial approximation, numerical differentiation and integration, numerical solutions of differential equations.
Prereq: MATH 350 with a grade of “C” or better and working knowledge of a computer language or mathematical software. 
MATH 462(G)  Linear Algebra
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Vector spaces and linear transformations. Matrices, determinants, linear systems, eigenvalues. Inner products.
Prereq: MATH 360 with a grade of “C” or better. 
MATH 463(G)  Number Theory
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Divisibility properties of integers, congruences, prime numbers, Diophantine equations.
Prereq: MATH 360 with a grade of “C” or better. 
MATH 465(G)  Modern Algebra I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Introduction to abstract algebraic systems.
Prereq: MATH 360 with a grade of “C” or better. 
MATH 466(G)  Modern Algebra II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Introduction to abstract algebraic systems.
Prereq: MATH 360 with a grade of “C” or better. 
MATH 470(G)  Topics for Mathematics Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Content varies. May be repeated for credit. Not to be applied toward a degree in mathematics. Permission of instructor requried. 
MATH 475(G)  Complex Variables
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Theory of functions of a complex variable with applications in physics and engineering.
Prereq: MATH 302 with a grade of “C” or better. 
MATH 481(G)  Combinatorial Mathematics
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Algebraic structures, disjunctive normal forms, binomial and multinomial coefficients, generating functions, partitions of integers. Polya’s enumeration formula and applications.
Prereq: MATH 302 with a grade of “C” or better. 
MATH 483(G)  Applied Graph Theory
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Paths, circuits and connectivity, coloring of maps and graphs. Graph traversal algorithms, directed graphs. Network algorithms, spanning trees, pruning analysis with applications.
Prereq: MATH 301 with a grade of “C” or better.
Rstr: Permission of department required. 
MATH 487(G)  Computational Mathematics
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Algebraic, symbolic, and numerical computations; modern concepts of visualization; applications towards calculus, differential equations, linear algebra, data analysis, numerical analysis, and special functions.
Prereq: MATH 350 with a grade of “C” or better. 
MATH 491(G)  Discrete and Integral Transforms
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Discrete and integral transforms with applications.
Prereq: MATH 350 with a grade of “C” or better. 
MATH 493(G)  Advanced Calculus I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Rigorous study of the theory of calculus.
Prereq: MATH 302 and MATH 360 with a grade of “C” or better. 
MATH 494(G)  Advanced Calculus II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Rigorous study of the theory of calculus.
Prereq: MATH 302 and MATH 360 with a grade of “C” or better. 
MATH 495(G)  Advanced Mathematics for Engineers and Scientists
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Systems of first order differential equations, partial differential equations, Fourier series, SturmLiouville systems, Helmholtz equation, Green’s functions, applications in engineering and sciences.
Prereq: MATH 350 with a grade of “C” or better. 
MATH 497(G)  Special Projects I
3 Hour(s) Lecture.
Special and individual study projects.
Rstr: Permission of department required. 
MATH 498(G)  Special Projects II
3 Hour(s) Lecture.
Special and individual study projects.
Rstr: Permission of department required. 
MATH 499  Undergraduate Research
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
This course may be repearted for credit.
Rstr: Permission of department requied. 
MATH 501  Number Theory and Operations for Middle School Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Topics in number theory; problem solving involving number systems, proportional reasoning, properties of real numbers and congruences.
Rstr: Teacher certification or permission of department required. Cannot be applied toward a degree in mathematics. 
MATH 502  Advanced Measurement and Geometry for Middle School Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Solving problems involving measurement, similarity, perimeters, areas, and volumes of two and threedeminsonal geometrical figures, scale and proportion; transformational geometry; axiom system of Euclidean geometry; relationship of algebra to geometry and trionometry.
Prereq: MATH 501 or permission of department required.
Rstr: Teacher certification or permission of department required. Cannot be applied toward a degree in mathematics. 
MATH 503  Probability and Statistics for Middle School Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Descriptive statistics, probability distributions, hypothesis testing, confidence intervals, correlation and regression, and other topics used in education and schoolbased research.
Prereq: MATH 501 or permission of department required.
Rstr: Teacher certification or permission of department required. Cannot be applied toward a degree in mathematics. 
MATH 504  Algebra and Functions for Middle School Teachers
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Algebraic expressions, linear and quadratic equations, linear inequalities, systems of linear equations, functions and their graphs. Emphasis on solving nonroutine problems; modeling.
Prereq: MATH 501 or permission of department required.
Rstr: Teacher certification or permission of department required. Cannot be applied toward a degree in mathematics. 
MATH 511  Topics in Mathematics for Middle School Teachers I
1 Hour(s) Lecture.
Content varies. May be repeated for credit as topics vary. For the practicing middle school teacher. Covers various topics in algebra, geometry, number theory, problem solving, probability.
Rstr: Cannot be applied toward a degree in mathematics. 
MATH 512  Topics in Mathematics for Middle School Teachers II
3 Hour(s) Lecture.
Content varies. May be repeated for credit as topics vary. For the practicing middle school teacher. Covers various topics in algebra, geometry, number theory, problem solving, probability.
Rstr: Cannot be applied toward a degree in mathematics. 
MATH 513  Topics in Mathematics for High School Teachers I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit as topics vary. For the practicing high school teacher. Covers various topics in algebra, geometry, number theory, problem solving, probability.
Rstr: Cannot be applied toward a degree in mathematics. 
MATH 514  Topics in Mathematics for High School Teachers II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit as topics vary. For the practicing high school teacher. Covers various topics in algebra, geometry, number theory, problem solving, probability.
Rstr: Cannot be applied toward a degree in mathematics. 
MATH 535  Topology I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Detailed study of general topology.
Rstr: Permission of department required. 
MATH 536  Topology II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Detailed study of general topology.
Rstr: Permission of department required. 
MATH 537  Algebraic Topology I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Homology and homotopy theory, manifolds.
Rstr: Permission of department required. 
MATH 538  Algebraic Topology II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Homology and homotopy theory, manifolds.
Rstr: Permission of department required. 
MATH 554  Numerical Solutions of Differential Equations
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Finite element method, functional analysis, approximation theory, and other topics.
Prereq: MATH 455(G) with a grade of “C” or better, or permission of department. 
MATH 555  Numerical Analysis I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Advanced numerical linear algebra, optimization, nonlinear systems, topics from approximation theory, quadrature, numerical solutions of differential equations.
Prereq: MATH 455(G) or permission of department required 
MATH 556  Numerical Analysis II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Advanced numerical linear algebra, optimization, nonlinear systems, topics from approximation theory, quadrature, numerical solutions of differential equations.
Prereq: MATH 455(G) or permission of department required 
MATH 561  Linear Algebra and Applications I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Vector spaces and linear transformations over fields, matrices, diagonalization, canonical forms, multilinear algebra, spectral decomposition, inner products, normed spaces, and applications.
Prereq: MATH 462(G) or permission of department required 
MATH 562  Linear Algebra and Applications II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Vector spaces and linear transformations over fields, matrices, diagonalization, canonical forms, multilinear algebra, spectral decomposition, inner products, normed spaces, and applications.
Prereq: MATH 462(G) or permission of department required 
MATH 565  Abstract Algebra I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Theory of groups, rings, fields, and related algebraic structures.
Rstr: Permission of department required. 
MATH 566  Abstract Algebra II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Theory of groups, rings, fields, and related algebraic structures.
Rstr: Permission of department required. 
MATH 570  Research Methods
16 Credit(s).
May be repeated for credit.
Rstr: Permission of instructor required. Grade: NC/CR. 
MATH 573  Real and Functional Analysis I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Measure and integration theory. An introduction to functional analysis.
Prereq: MATH 493(G)494(G) or permission of department required 
MATH 574  Real and Functional Analysis II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Measure and integration theory. An introduction to functional analysis.
Prereq: MATH 493(G)494(G) or permission of department required 
MATH 575  Complex Analysis I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Theory of functions of a complex variable.
Prereq: MATH 493(G)494(G) or permission of department required 
MATH 576  Complex Analysis II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Theory of functions of a complex variable.
Prereq: MATH 493(G)494(G) or permission of department required 
MATH 583  Ordinary Differential Equations I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Qualitative and quantitative theory of ordinary differential equations. Existenceuniqueness and continuation of solutions. Stability theory, upper and lower solution technique, and monotone method. Elements of bifurcation and chaos.
Prereq: MATH 493(G)494(G) and permission of department required 
MATH 584  Ordinary Differential Equations II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Qualitative and quantitative theory of ordinary differential equations. Existenceuniqueness and continuation of solutions. Stability theory, upper and lower solution technique, and monotone method. Elements of bifurcation and chaos.
Prereq: MATH 493(G)494(G) and permission of department required 
MATH 587  Asymptotic and Perturbation Methods
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
Asymptotic expansion, asymptotic analysis, regular and singular perturbation theory.
Prereq: MATH 493(G) or MATH 495(G) or permission of department required 
MATH 591  Seminar
1 Hour(s) Lecture.
May be repeated when topics vary.
Grading Option: Grades: CR/NC. 
MATH 594  Research
36 Credit(s).
Credit to be 3 hours unless written justification for varied credits is accepted by the Graduate School.
Rstr: Restr: To be taken by nonthesis option master’s students only.
Grading Option: Grades: S, U, W. 
MATH 595  Partial Differential Equations I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
CauchyKowalewsky theorem, wellposed and illposed problems, eigenvalue problems, maximum principles, Green’s functions, nonlinear problems.
Prereq: MATH 493(G)494(G) or MATH 495(G) or permission of department required. 
MATH 596  Partial Differential Equations II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
CauchyKowalewsky theorem, wellposed and illposed problems, eigenvalue problems, maximum principles, Green’s functions, nonlinear problems.
Prereq: MATH 493(G)494(G) or MATH 495(G) or permission of department required. 
MATH 597  Special Topics I
3 Hour(s) Lecture.
Special topics or individual study.
Rstr: Permission of instructor required. 
MATH 598  Special Topics II
3 Hour(s) Lecture.
Special topics or individual study.
Rstr: Permission of instructor required. 
MATH 599  Thesis Research and Thesis
39 Credit(s).
Grading Option: Grades: S, U, W. 
MATH 635  Advanced Topics in General Topology I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Prereq: MATH 535536 or permission of department required. 
MATH 636  Advanced Topics in General Topology II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Prereq: MATH 535536 or permission of department required. 
MATH 655  Advanced Topics in Numerical Analysis I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Prereq: MATH 555556 or permission of department required. 
MATH 656  Advanced Topics in Numerical Analysis II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Prereq: MATH 555556 or permission of department required. 
MATH 665  Advanced Topics in Abstract Algebra I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Prereq: MATH 565566 or permission of department required. 
MATH 666  Advanced Topics in Abstract Algebra II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Prereq: MATH 565566 or permission of department required. 
MATH 677  Advanced Topics in Analysis I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Rstr: Permission of instructor required. 
MATH 678  Advanced Topics in Analysis II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Rstr: Permission of instructor required. 
MATH 695  Advanced Topics in Applied Mathematics I
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Rstr: Permission of department required. 
MATH 696  Advanced Topics in Applied Mathematics II
3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
May be repeated for credit when topics vary.
Rstr: Permission of department required. 
MATH 697  Seminar I
3 Credit(s).
Rstr: Permission of instructor required. 
MATH 698  Seminar II
3 Credit(s).
Rstr: Permission of instructor required. 
MATH 699  Dissertation Research and Dissertation
324 Credit(s).
Grading Option: Grades: S, U, W. 
MATH 899  Examinations Only
Required of all graduate nonthesis students taking examinations, oral and/or written, who are not registered for any other course.
Grading Option: S, U, W.