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Mathematics Course Descriptions

NOTE: To enroll in any 400-level 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.

  • MTHS 102 - Quantitative Reasoning Fundamentals

    3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
    Critical thinking and applications of mathematical concepts to real-world topics such as descriptive statistics, growth and decay models, and finance. Designed for students in non-technical fields and may be used as a prerequisite for MATH 206, MATH 210 and STAT 214 only.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    Coreq: MTHS 102S,
    LCCN: CMAT 1103

  • MTHS 102S - Quantitative Reasoning Fundamentals Practicum

    2-3 Credit(s). 0 Hour(s) Lab. 2-3 Hour(s) Lecture.
    Integrated as part of MTHS 102.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    Coreq: MTHS 102
    Grading Option: CR, NC

  • MATH 102 - Quantitative Reasoning

    3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
    Critical thinking and applications of mathematical concepts to real-world topics such as descriptive statistics, growth and decay models, and finance. Designed for students in non-technical 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 510 or ACCUPLACER QRAS score of 250, or Intermediate Algebra with a grade of “C” or better.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    LCCN: CMAT 1103

  • MTHS 105 - 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.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    Coreq: MTHS 105S
    LCCN: CMAT 1203

  • MTHS 105S - Applied College Algebra Fundamentals Practicum

    2-3 Credit(s). 0 Hour(s) Lab. 2-3 Hour(s) Lecture.
    Integrated as part of MTHS 105.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    Coreq: MTHS 105
    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.
    Prereq: Minimum ACT MATH score of 21 or SAT MATH score of 530 or ACCUPLACER QRAS score of 263.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    LCCN: CMAT 1203

  • MTHS 109 - Pre-Calculus Algebra Fundamentals

    3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
    Algebraic, exponential and logarithmic functions for students preparing to study calculus.
    Prereq: Minimum ACT math score of 20 or SAT MATH score of 520 or proctored ALEKS PPL score of 35, or MTHS 105 and MTHS 105S or MATH 105 with a minimum grade of “C” or better.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    Coreq: MTHS 109S
    LCCN: CMAT 1213

  • MTHS 109S - Pre-Calculus Algebra Fundamentals Practicum

    2-3 Credit(s). 0 Hour(s) Lab. 2-3 Hour(s) Lecture.
    Integrated as part of MTHS 109.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    Coreq: MTHS 109
    Grading Option: CR, NC

  • MATH 109 - Pre-Calculus Algebra

    3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
    Algebraic, exponential and logarithmic functions for students preparing to study calculus.
    Prereq: Minimum ACT math score of 23 or SAT MATH score of 560 or proctored ALEKS PPL score of 46, or MTHS 105 and MTHS 105S or MATH 105 with a minimum grade of “C”.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143 may be used for degree credit.
    LCCN: CMAT 1213

  • MATH 110 - Pre-Calculus 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.
    Prereq: Minimum ACT math score of 24 or SAT MATH score of 580 or proctored ALEKS PPL score of 61, or MTHS 109 and MTHS 109S or MATH 109 with a minimum grade of “C”.
    LCCN: CMAT 1223

  • MATH 117 - Number Sense for PK-8 Teachers

    3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
    Language-intensive study of the Number Strand as it develops sequentially from grades pre-K 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 510, Intermediate Algebra with a grade of “C” or better, or MATH 103 and MATH 104, MTHS 105 and MTHS 105S or MATH 105, or MATH 107 with a grade of “C” or better.
    Rstr: Education majors only

  • MATH 143 - Pre-Calculus Algebra and Trigonometry

    3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
    Algebraic and trigonometric concepts required for calculus.
    Prereq: Minimum ACT MATH score of 26 or SAT MATH score of 610 or proctored ALEKS PPL score of 68.
    Only one of MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, 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.
    Prereq: Minimum ACT math score of 25 or SAT MATH score of 590 or credit in MTHS 102 and MTHS 102S, MATH 102, MTHS 105 and MTHS 105S, 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 590 or credit in MTHS 102 and MTHS 102S, MATH 102, MTHS 105 and MTHS 105S, or MATH 105.

  • MATH 217 - Geometry and Measurement for PK-8 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 590. A grade of “C” or better in MATH 117 and one of the following: MATH 107, MTHS 105 and MTHS 105S, 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.
    Prereq: Minimum ACT math score of 25 or SAT MATH score of 590, and credit in MTHS 105 and MTHS 105S or MATH 105 or MTHS 109 and MTHS 109S 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.
    Prereq: Minimum ACT math score of 28 or SAT MATH score of 660, proctored ALEKS PPL score of 76, 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.
    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.
    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 PK-8 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

    3-4 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 n-tuples and matrices. Vector spaces with emphasis on n-tuples. 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.
    Non-routine 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 non-abelian 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 non-Euclidean geometry, presented intuitively and rigorously.
    Prereq: MATH 360 with a grade of “C” or better.

  • MATH 435(G) - Introduction to Topology I

    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 436(G) - Introduction to Topology II

    3 Credit(s). 0 Hour(s) Lab. 3 Hour(s) Lecture.
    The exact choice of topics depends on instructor discretion. Possible topics include arbitrary product spaces, compact Hausdorff spaces, normal spaces, the Cantor set, homotopy, path homotopy, and the fundamental group.
    Prereq: MATH 435(G) 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 discrete-time 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 continuous-time 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, Sturm-Liouville 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 repeated for credit.
    Rstr: Permission of department required.

  • 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 three-deminsonal 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 school-based 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 non-routine 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

    1-6 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. Existence-uniqueness 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. Existence-uniqueness 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

    3-6 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 non-thesis 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.
    Cauchy-Kowalewsky theorem, well-posed and ill-posed 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.
    Cauchy-Kowalewsky theorem, well-posed and ill-posed 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

    3-9 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 535-536 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 535-536 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 555-556 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 555-556 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 565-566 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 565-566 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

    3-24 Credit(s).
    Grading Option: Grades: S, U, W.

  • MATH 899 - Examinations Only

    Required of all graduate non-thesis students taking examinations, oral and/or written, who are not registered for any other course.
    Grading Option: S, U, W.