Apr 28, 2024  
2020-2021 Undergraduate and Graduate Catalog 
    
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2020-2021 Undergraduate and Graduate Catalog [ARCHIVED CATALOG]

Course Descriptions

How to Read Catalog Course Descriptions

Texas Tech offers nearly 5,000 courses as part of its curriculum. These courses are listed alphabetically by subject prefix within each college and departmental section of this catalog. The courses appear in numerical order, moving from beginning freshman or developmental level courses to graduate, research, and professional courses.

Not all courses listed in this catalog are offered every year. An online class schedule published before each registration period indicates courses that will be available during the upcoming term or semester and when each class will meet. The class schedule can be found at (www.depts.ttu.edu/officialpublications/class_schedule/index.php). The university reserves the right to cancel any scheduled course or withdraw any program from the list of offerings when the best interests of the institution require such action.

Courses are designated by a subject prefix and number along with a descriptive title. Learn more  about interpreting the course descriptions found throughout the catalog.
 

MATH - Mathematics (Undergraduate Courses)
  

  • MATH 1420 - College Algebra With Review

    4 Semester Credit Hours
    TCCNS: MATH1414 Prerequisites: A score of at least 500 on the SATM and composite score of 1070 or a score of at least 19 on the ACTM and composite score of 23 or 3500 on STA2, or a C or better in MATH 0302, REF 0302, or TSI 0302. Review of topics from high school algebra, inequalities, functions and graphs, linear systems, sequences, mathematics induction. Cannot receive credit for both MATH 1320  and 1420. Partially fulfills core Mathematics requirement.
  

  • MATH 1430 - Introductory Mathematical Analysis With Review

    4 Semester Credit Hours
    Prerequisites: Code 2 or higher on MPE or a score of at least 610 on the SATM or a score of at least 26 on the ACTM or a score of 3500 on STA2, or a C or better in REF 0302, a B or better in MATH 0301 or TSI 0202, or a grade of D or better in a college level mathematics course. Review of topics from high school algebra, pre-calculus topics of interest to students of business and the social sciences. These include mathematics of finance, probability and statistics, and Markov processes. Cannot receive credit for both MATH 1330  and 1430. Partially fulfills core Mathematics requirement.
  

  • MATH 1451 - Calculus I with Applications

    4 Semester Credit Hours
    TCCNS: MATH2413 Prerequisite: MATH 1350  or MATH 1550  with a grade of C or better, or MATH 1321  with a grade of C and Code 5 on MPE, or MATH 1321  with a grade of B or better, or Code 7 on MPE, or a score of at least 660 on the SATM, or a score of at least 29 on the ACTM, or a score of at least 3 on AP AB Calculus and Code 5 on MPE. Differentiation of algebraic and transcendental functions, differentials, indefinite integrals, definite integrals. Applications and problem-solving are strongly emphasized. A student will receive credit for either (not both) MATH 1351 or 1451. (Honors section offered.) Partially fulfills core Mathematics requirement.
  

  • MATH 1452 - Calculus II with Applications

    4 Semester Credit Hours
    TCCNS: MATH2414 Prerequisite: C or better in MATH 1451  or departmental consent. Methods of integration, parametric equations, polar coordinates, hyperbolic functions, infinite series. Applications and problem-solving are strongly emphasized. A student will receive credit for either (not both) MATH 1352 or 1452. (Honors section offered.) Partially fulfills core Mathematics requirement.
  

  • MATH 1550 - Precalculus

    5 Semester Credit Hours
    Prerequisite: Code 3 or higher on MPE or a score of at least 610 on the SATM or a score of at least 26 on the ACTM or a 3500 on the STA2, or an A in MATH 0302 or TSI 0302, or a C or better REF 0302 or in a college level mathematics course. Topics from college algebra, trigonometry, and analytical geometry that are necessary prerequisites for Calculus I. Partially fulfills core Mathematics requirement.
  

  • MATH 2300 - Statistical Methods

    3 Semester Credit Hours
    TCCNS: MATH1342, 1442, 2342, 2442 Prerequisite: A score of at least 500 on the SATM and composite score of 1070 or a score of at least 19 on the ACTM and composite score of 23 or a grade of C or better in MATH 0302 or a grade of C or better in TSI 0302. Methods of analyzing data, statistical concepts and models, estimation, tests of significance, introduction to analysis of variance, linear regression, and correlation. Partially fulfills core Mathematics requirement.
  

  • MATH 2345 - Introduction to Statistics with Application to Business

    3 Semester Credit Hours
    Prerequisite: Code 4 or higher on MPE, a score of at least 610 on the SATM, a score of at least 26 on the ACTM, or a C or better in either MATH 1330 , MATH 1430 , or MATH 1451 . Statistics and probability for business. Data collection, description, interpretation, prediction, inference, and computer software. Partially fulfills core Mathematics requirement.
  

  • MATH 2360 - Linear Algebra

    3 Semester Credit Hours
    TCCNS: MATH2318, 2418 Prerequisite: C or better in MATH 1452  or consent of department. Finite-dimensional vector spaces, linear transformations and matrices, eigenvalues and eigenvectors.
  

  • MATH 2370 - Elementary Analysis I

    3 Semester Credit Hours
    TCCNS: MATH1350 Prerequisite: MATH 1320  and major of EC or MDS or consent of department. Analytic geometry and the real number system with applications. Not for engineering, science, or mathematics majors. Partially fulfills core Mathematics requirement.
  

  • MATH 2371 - Elementary Analysis II

    3 Semester Credit Hours
    Prerequisite: MATH 1320  and major of EC or MDS or consent of department. Elementary differential and integral calculus with application. Not for engineering, science, or mathematics majors. Partially fulfills core Mathematics requirement.
  

  • MATH 2450 - Calculus III with Applications

    4 Semester Credit Hours
    TCCNS: MATH2415 Prerequisite:  MATH 1452  or departmental consent. Partial differentiation, functions of several variables, multiple integrals, line integrals, surface integrals, Stokes Theorem. Applications and problem-solving are strongly emphasized. (Honors section offered.)
  

  • MATH 3310 - Introduction to Mathematical Reasoning and Proof

    3 Semester Credit Hours
    Prerequisite: MATH 2450  or concurrent with MATH 2450  or consent of department. Logic, techniques of proof, induction, writing proofs involving sets, relations, functions, graphs, number theory, and construction of real numbers. (CL)
  

  • MATH 3342 - Mathematical Statistics for Engineers and Scientists

    3 Semester Credit Hours
    Prerequisite: MATH 2450  or consent of department. Descriptive statistics, elementary probability, random variables and distributions, mean, variance, parameter estimation, hypothesis testing, regression, analysis of variance. MATH 3342 and MATH 4342  cannot both be counted toward a mathematics major or minor.
  

  • MATH 3350 - Higher Mathematics for Engineers and Scientists I

    3 Semester Credit Hours
    Prerequisite: C or better in MATH 1452  (cannot be taken concurrently) or consent of department. Ordinary differential equations. Laplace transforms. Other selected topics. MATH 3350 and MATH 3354  may not both be counted toward a mathematics major or minor. Mathematics majors should take MATH 3354  and have the consent of the department to take MATH 3350.
  

  • MATH 3351 - Higher Mathematics for Engineers and Scientists II

    3 Semester Credit Hours
    Prerequisites: C or better in MATH 2450  and in MATH 3350  or MATH 3354  or consent of department. Partial differential equations and numerical methods. MATH 3351 and MATH 4354  cannot both be counted toward a mathematics major or minor.
  

  • MATH 3354 - Differential Equations I

    3 Semester Credit Hours
    Prerequisite: MATH 2450  and MATH 2360  or consent of department. Solutions of ordinary differential equations, geometric and physical applications. MATH 3350  and 3354 may not both be counted toward a mathematics major or minor.
  

  • MATH 3356 - Quantitative Theory of Interest

    3 Semester Credit Hours
    Prerequisite: C or better in MATH 1452 . Covers the foundation of financial mathematics. Topics include compund interest, annuities, amortization, sinking funds, bonds, and current topics in finance; SOA Exam FM.
  

  • MATH 3360 - Foundations of Algebra I

    3 Semester Credit Hours
    Prerequisite:MATH 2360  and MATH 3310  or consent of department. Fundamental concepts of abstract algebra. Primarily group theory. (CL)
  

  • MATH 3370 - Elementary Geometry

    3 Semester Credit Hours
    Congruence and measures of plane and solid figures, similarity, areas, volumes, and a brief introduction to concepts in probability and statistics.
  

  • MATH 3371 - Elements of Finite Mathematics

    3 Semester Credit Hours
    Combinatorics, probability theory. Bayes’ Theorem, Bernoulli Trials. Probability distributions and statistics. Not for engineering, science, or mathematics majors.
  

  • MATH 3372 - Math Modeling for Teachers

    3 Semester Credit Hours
    Prerequisite: MATH 2371 . Not for engineering, math or science majors. Calculus and non-calculus based models in science and engineering. Appropriate technology for simulation. Computer algebra systems.
  

  • MATH 3430 - Computational Techniques for Science and Mathematics

    4 Semester Credit Hours
    Prerequisite: MATH 2450  and MATH 2360  or consent of department. Emphasis on scientific computing and problem solving techniques using state-of-the-art mathematics software packages. Restricted to mathematics majors or students enrolled in a secondary mathematics teacher program.
  

  • MATH 4000 - Selected Topics

    V1-3 Semester Credit Hours
    Prerequisite: MATH 2450 . Selected topics in upper division mathematics. May be repeated for credit.
  

  • MATH 4101 - Seminar in Mathematics, Statistics, and Mathematics Education

    1 Semester Credit Hours
    Prerequisite: MATH 1451  or consent of instructor. Issues in mathematics, statistics, and mathematics education.
  

  • MATH 4202 - Preparation for Mathematics Competitions (Putnam Competition)

    2 Semester Credit Hours
    Prerequisite: Consent of instructor. Prepares students for the Putnam Competition. Only 2 hours of this course can be applied toward the major.
  

  • MATH 4310 - Introduction to Numerical Analysis I

    3 Semester Credit Hours
    Prerequisite: MATH 3350  or MATH 3354 , or consent of instructor. Interpolation, approximations, numerical integration, and differentiation.
  

  • MATH 4312 - Introduction to Numerical Analysis II

    3 Semester Credit Hours
    Prerequisite: MATH 2360 , including an elementary knowledge of programming or consent of instructor. Numerical techniques in linear algebra.
  

  • MATH 4324 - Introduction to Topology

    3 Semester Credit Hours
    Prerequisite: MATH 3310 . Euclidian spaces; metric, open, and closed sets; neighborhood; topology; Euler characteristic; triangulation; orientability classification of surfaces.
  

  • MATH 4325 - Mathematical Methods in Physical Sciences I

    3 Semester Credit Hours

    Vectors and coordinate systems, vector and scalar fields, ordinary differential equations, boundary-value problems and partial differential equations. [PHYS 4325 ]

     

  

  • MATH 4326 - Mathematical Methods in Physical Sciences II

    3 Semester Credit Hours
    Calculus of variations, an introduction to complex analysis, special functions, integral transforms. [PHYS 4326 ]
  

  • MATH 4330 - Mathematical Computing

    3 Semester Credit Hours
    Prerequisite: Consent of undergraduate program director. Topics from computational mathematics and programming.
  

  • MATH 4331 - Advanced Geometry

    3 Semester Credit Hours
    Prerequisite: MATH 2450  and MATH 3310  or consent of department. Euclidean and non-Euclidean geometries.
  

  • MATH 4342 - Mathematical Statistics I

    3 Semester Credit Hours
    Prerequisite: MATH 2450 . Frequency functions, moments, probability, correlation and regression, testing hypotheses, small sample distributions, analysis of variance, nonparametric methods, sequential analysis. MATH 3342  and 4342 cannot both be counted toward a mathematics major or minor.
  

  • MATH 4343 - Mathematical Statistics II

    3 Semester Credit Hours
    Prerequisite: MATH 4342  or consent of department. Frequency functions, moments, probability, correlation and regression, testing hypotheses, small sample distributions, analysis of variance, nonparametric methods, sequential analysis.
  

  • MATH 4350 - Advanced Calculus I

    3 Semester Credit Hours
    Prerequisite: MATH 2450 , MATH 2360 , and MATH 3310  or consent of department. Sets, functions, vector fields, partial derivatives, power series, theory of integration, line, surface, and multiple integrals. (CL)
  

  • MATH 4351 - Advanced Calculus II

    3 Semester Credit Hours
    Prerequisite: MATH 4350  or consent of department. Sets, functions, vector fields, partial derivatives, power series, theory of integration, line, surface, and multiple integrals.
  

  • MATH 4354 - Differential Equations II

    3 Semester Credit Hours
    Prerequisite: MATH 3350  or MATH 3354 , or consent of department. Partial differential equations and boundary value problems. MATH 4354 and MATH 3351  may not both be counted toward a mathematics major or minor.
  

  • MATH 4356 - Elementary Functions of Complex Variables

    3 Semester Credit Hours
    Prerequisite: MATH 4350  (concurrent) or consent of department. The complex number system, functions of a complex variable, differentiation, elementary functions, and contour integration.
  

  • MATH 4360 - Foundations of Algebra II

    3 Semester Credit Hours
    Prerequisite: MATH 3360  or consent of department. Continuation of MATH 3360 . Rings, fields, and applications.
  

  • MATH 4362 - Theory of Numbers

    3 Semester Credit Hours
    Prerequisite: MATH 3310  or consent of department. Prime numbers, congruences, theorems of Fermat, Euler, and Wilson, residues, reciprocity law, Diophantine Equations.
  

  • MATH 4363 - Introduction to Combinatorics

    3 Semester Credit Hours
    Prerequisite: MATH 3310 . Basic counting techniques, pigeonhole principle, partitions, permutations, recurrence relations, coloring problems.
  

  • MATH 4370 - Elementary Problem Solving

    3 Semester Credit Hours
    Prerequisite: MATH 3370  or MATH 3371  or consent of department. Techniques of problem solving using elementary number theory.
  

  • MATH 4371 - Basic Computer Literacy and Programming

    3 Semester Credit Hours
    Prerequisite: MATH 3372  and MATH 4370  or consent of department. Computer literacy, structured programming, and problem solving using modern mathematical computing technology. (For students seeking elementary school certification as mathematics specialists).

MATH - Mathematics (Graduate Courses)
  

  • MATH 5099 - Individual Study

    V1-6 Semester Credit Hours
    Prerequisite: Consent of instructor. A structural independent study course in mathematics or statistics under the guidance of a faculty member. May be repeated for credit.
  

  • MATH 5101 - Seminar in Mathematics

    1 Semester Credit Hours
    Discussion of current research and topics of interest in mathematics. Must be taken pass/fail. May be repeated for credit.
  

  • MATH 5104 - Seminar in Statistics

    1 Semester Credit Hours
    Discussion of current research and topics of interest in statistics. Must be taken pass/fail. May be repeated for credit.
  

  • MATH 5310 - Principles of Classical Applied Analysis I

    3 Semester Credit Hours
    Fourier series and integrals, discrete Fourier series, Laplace transforms, calculus of variations, Sturm-Liouville problems, integral equations, equations of fluids and solids, and ordinary and partial differential equations.
  

  • MATH 5311 - Principles of Classical Applied Analysis II

    3 Semester Credit Hours
    Fourier series and integrals, discrete Fourier series, Laplace transforms, calculus of variations, Sturm-Liouville problems, integral equations, equations of fluids and solids, and ordinary and partial differential equations.
  

  • MATH 5312 - Control Theory I

    3 Semester Credit Hours
    Prerequisite: MATH 2360 , MATH 3354 , MATH 4351 , or consent of instructor. Linear dynamical systems, stability, frequency response and Laplace transform, feedback, state-space description, and geometric theory of linear systems. [ME 5312]
  

  • MATH 5313 - Control Theory II

    3 Semester Credit Hours
    Prerequisite: MATH 5312 , MATH 5316 , MATH 5318 , or consent of instructor. Quadratic regulator for linear systems, Kalman filtering, non-linear systems, stability, local controllability, and geometric theory of non-linear systems. [ME 5313 ]
  

  • MATH 5315 - Introduction to Set Theory

    3 Semester Credit Hours
    Zemelo-Fraenkel axioms set theory, axiom of choice and its equivalents, cardinal and ordinal numbers, cardinal and ordinal arithmetic.
  

  • MATH 5316 - Applied Linear Algebra

    3 Semester Credit Hours
    Prerequisite: Consent of instructor. Solution of linear systems, matrix inversion, vector spaces, projections, determinants, eigenvalues and eigenvectors, Jordan form, computational methods, and applications.
  

  • MATH 5317 - Introduction to Modern Algebra

    3 Semester Credit Hours
    Prerequisites: MATH 2360  and MATH 3310 , or similar courses on linear algebra and introduction to proof. Graduate-level introduction to the theory of groups and ring.
  

  • MATH 5318 - Intermediate Analysis I

    3 Semester Credit Hours
    The real number system, introduction to metric spaces, sequences, continuity, differentiation, Riemann integration, power series, functions of several variables, and differential forms.
  

  • MATH 5319 - Intermediate Analysis II

    3 Semester Credit Hours
    The real number system, introduction to metric spaces, sequences, continuity, differentiation, Riemann integration, power series, functions of several variables, and differential forms.
  

  • MATH 5320 - Functions of a Complex Variable I

    3 Semester Credit Hours
    Prerequisite: MATH 4350  or MATH 4356 . Analytic functions as mappings, Cauchy theorems, Laurent series, maximum modulus theorems and ramifications, normal families, Riemann mapping theorem, Weierstrass factorization theorem, Mittag-Leffler theory, analytic continuation, and harmonic functions.
  

  • MATH 5321 - Functions of a Complex Variable II

    3 Semester Credit Hours
    Prerequisite: MATH 4350  or MATH 4356 . Analytic functions as mappings, Cauchy theorems, Laurent series, maximum modulus theorems and ramifications, normal families, Riemann mapping theorem, Weierstrass factorization theorem, Mittag-Leffler theory, analytic continuation, and harmonic functions.
  

  • MATH 5322 - Functions of a Real Variable I

    3 Semester Credit Hours
    Prerequisite: MATH 5319  or equivalent. General measure and integration theory, Lp theory, differentiation theory, and basic functional analysis.
  

  • MATH 5323 - Functions of a Real Variable II

    3 Semester Credit Hours
    Prerequisite: MATH 5319  or equivalent. General measure and integration theory, Lp theory, differentiation theory, and basic functional analysis.
  

  • MATH 5324 - Topology I

    3 Semester Credit Hours
    Prerequisite: MATH 4350  or consent of instructor. Point set theory, introduction to combinatorial topology and homology theory.
  

  • MATH 5325 - Topology II

    3 Semester Credit Hours
    Prerequisite: MATH 4350  or consent of instructor. Point set theory, introduction to combinatorial topology and homology theory.
  

  • MATH 5326 - Modern Algebra I

    3 Semester Credit Hours
    Prerequisite: MATH 3360  or consent of instructor. Groups, rings, fields, linear algebra, Galois theory.
  

  • MATH 5327 - Modern Algebra II

    3 Semester Credit Hours
    Prerequisite: MATH 3360  or consent of instructor. Groups, rings, fields, linear algebra, Galois theory.
  

  • MATH 5330 - Theory of Ordinary Differential Equations I

    3 Semester Credit Hours
    Prerequisite: MATH 4351 , MATH 4354 , or consent of instructor. Existence and uniqueness results, continuation of solutions, continuous dependence on data, linear equations, oscillation and comparison theorems, boundary value problems, and stability analysis.
  

  • MATH 5331 - Theory of Ordinary Differential Equations II

    3 Semester Credit Hours
    Prerequisite: MATH 5330  or consent of instructor. Advanced existence, uniqueness, continuation, and continuity results; symmetry and variance; center manifold theorem.
  

  • MATH 5332 - Partial Differential Equations I

    3 Semester Credit Hours
    Prerequisite: MATH 4351 , MATH 4354 , or consent of instructor. Topics include first order equations, method of characteristics, parabolic, hyperbolic and elliptic equations, variational and Hilbert space methods.
  

  • MATH 5333 - Partial Differential Equations II

    3 Semester Credit Hours
    Prerequisite: MATH 4351 , MATH 4354 , or consent of instructor. Topics include first order equations, method of characteristics, parabolic, hyperbolic and elliptic equations, variational and Hilbert space methods.
  

  • MATH 5334 - Numerical Analysis I

    3 Semester Credit Hours
    Prerequisite: MATH 5316  or equivalent. Computer arithmetic and error analysis, interpolation techniques, numerical differentiation and numerical quadrature, direct and iterative methods for solution of systems of linear equations.
  

  • MATH 5335 - Numerical Analysis II

    3 Semester Credit Hours
    Prerequisite: MATH 5316  or equivalent. Numerical solution of ordinary differential equations, solution of nonlinear systems of equations, calculation of eigenvalues and eigenvectors, special topics.
  

  • MATH 5340 - Functional Analysis I

    3 Semester Credit Hours
    Prerequisite: MATH 5322 . Hilbert and Banach space theory, linear operator theory, the closed graph theorem, the open mapping theorem, the principle of uniform boundedness, linear functionals, dual spaces and weak topologies, distribution theory, topological vector spaces, spectral theory of compact and unbounded self-adjoint and unitary operators, and semigroup theory.
  

  • MATH 5341 - Functional Analysis II

    3 Semester Credit Hours
    Prerequisite: MATH 5322 . Hilbert and Banach space theory, linear operator theory, the closed graph theorem, the open mapping theorem, the principle of uniform boundedness, linear functionals, dual spaces and weak topologies, distribution theory, topological vector spaces, spectral theory of compact and unbounded self-adjoint and unitary operators, and semigroup theory.
  

  • MATH 5342 - Advanced Topics in Analysis I

    3 Semester Credit Hours
    Prerequisite: Consent of instructor. Current topics in analysis. May be repeated for credit.
  

  • MATH 5343 - Advanced Topics in Analysis II

    3 Semester Credit Hours
    Prerequisite: Consent of instructor. Current topics in analysis. May be repeated for credit.
  

  • MATH 5344 - Topics in Numerical Analysis I

    3 Semester Credit Hours
    Prerequisite: MATH 5335 . Current advanced topics in numerical analysis, research work using computers. May be repeated for credit.
  

  • MATH 5345 - Topics in Numerical Analysis II

    3 Semester Credit Hours
    Prerequisite: MATH 5355 . Current advanced topics in numerical analysis, computational research. May be repeated for credit.
  

  • MATH 5346 - Advanced Topics in Applied Mathematics I

    3 Semester Credit Hours
    Prerequisite: Consent of instructor. Current topics in applied mathematics. May be repeated for credit.
  

  • MATH 5354 - Biomathematics I

    3 Semester Credit Hours
    Prerequisite: Differential equations and linear algebra or consent of instructor. Qualitative and quantitative behavior of deterministic biological models are studied.
  

  • MATH 5355 - Biomathematics II

    3 Semester Credit Hours
    Prerequisite: Statistics, differential equations, and linear algebra or consent of instructor. Qualitative and quantitative behavior of stochastic biological models are studied.
  

  • MATH 5356 - Topics in Biomathematics

    3 Semester Credit Hours
    Prerequisite: Biomathematics II or consent of instructor. Current topics in biomathematics are studied such as biomechanics, mathematical epidemiology, mathematical neurology, mathematical ophthalmology, and image processing. May be repeated for credit.
  

  • MATH 5360 - Advanced Mathematics for Teachers I

    3 Semester Credit Hours
    Prerequisite: Consent of instructor. Selected topics in mathematics. May be repeated for credit.
  

  • MATH 5361 - Advanced Mathematics for Teachers II

    3 Semester Credit Hours
    Prerequisite: Consent of instructor. Selected topics in mathematics. May be repeated for credit.
  

  • MATH 5362 - Theory of Numbers

    3 Semester Credit Hours
    Prerequisite: MATH 4362 . Diophantine equations, binary quadratic forms, algebraic numbers, theory of number-theoretic functions, partitions, the prime number theorem.
  

  • MATH 5364 - Computer Literacy and Programming I

    3 Semester Credit Hours
    Development of computer literacy and programming ability, algorithms and data structures, and recursion.
  

  • MATH 5365 - Computer Literacy and Programming II

    3 Semester Credit Hours
    Development of computer literacy and programming ability, algorithms and data structures, and recursion.
  

  • MATH 5366 - Introduction to Analysis I

    3 Semester Credit Hours
    Introduction to logic, proofs, sets, functions, real numbers, and sequences. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5367 - Introduction to Analysis II

    3 Semester Credit Hours
    Prerequisite: B or better in MATH 5366  (concurrent enrollment allowed). A formal introduction to differentiation and Riemann Integration. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5368 - Abstract Algebra Applied I

    3 Semester Credit Hours
    An example-intensive introduction to fields and vector spaces. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5369 - Abstract Algebra Applied II

    3 Semester Credit Hours
    Prerequisite: B or better in MATH 5368  (concurrent enrollment allowed). An example-intensive introduction to Galois Theory and unsolvability of the general quintic. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5370 - History of Mathematics

    3 Semester Credit Hours
    A history of mathematics with an emphasis on the development of commercial arithmetic, geometry, algebra, and calculus. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5371 - Topology of the Real Line I

    3 Semester Credit Hours
    An introduction to topology via linearly ordered sets. Emphasis is on creating and criticizing proofs and counter examples. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5372 - Topology of the Real Line II

    3 Semester Credit Hours
    Prerequisite: B or better in MATH 5371  (concurrent enrollment allowed). Covers concepts of connectedness, separability, and characterization of the real line. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5375 - Modern Geometry I

    3 Semester Credit Hours
    A modern introduction to Euclidean geometry using metric and synthetic approaches. Uses dynamic geometry software. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5376 - Modern Geometry II

    3 Semester Credit Hours
    Prerequisite: B or better in MATH 5375  (concurrent enrollment allowed). Advanced topics in Euclidean geometry and an introduction to hyperbolic geometry. Uses dynamic geometry software. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5377 - Applied Mathematics I

    3 Semester Credit Hours
    An introduction to mathematical applications. Explores handling of data, voting, golden ratio, modular arithmetic, and encryption. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5378 - Applied Mathematics II

    3 Semester Credit Hours
    Explores mathematical ideas and applications, including infinity, surfaces, modeling of populations, and fractals and chaos. Not for M.S./Ph.D. in Math/Stat. Online.
  

  • MATH 5382 - Advanced Probability I

    3 Semester Credit Hours
    Prerequisite: MATH 5319  or consent of instructor. Measure and integration, axiomatic foundations of probability theory, random variables, distributions and their characteristic functions, stable and infinitely divisible laws, limit theorems for sums of independent random variables, conditioning, Martingales.
  

  • MATH 5383 - Advanced Probability II

    3 Semester Credit Hours
    Prerequisite: MATH 5319  or consent of instructor. Measure and integration, axiomatic foundations of probability theory, random variables, distributions and their characteristic functions, stable and infinitely divisible laws, limit theorems for sums of independent random variables, conditioning, Martingales.
  

  • MATH 5399 - Advanced Problems

    3 Semester Credit Hours
    Prerequisite: Graduate standing in mathematics. May be repeated for credit.
  

  • MATH 6000 - Master’s Thesis

    V1-6 Semester Credit Hours
  

  • MATH 6310 - Master’s Report

    3 Semester Credit Hours
 

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