Department of Mathematics

The Department of Mathematics offers curricula which lead to the following undergraduate degrees: Bachelor of Science in Applied Mathematics, Bachelor of Arts in Mathematics and Bachelor of Science in Mathematics. A combined baccalaureate/graduate degree program is also offered.

The curriculum for the BS in Applied Mathematics includes courses in economics, industrial engineering, statistics, computer science and mathematics. A student completing this program is prepared to enter employment with analytical and quantitative tools relevant to modern technological industries and/or modern financial markets. On the other hand, with the appropriate electives chosen, the student is prepared to enter quantitatively oriented graduate programs. Advising for this degree option is done through the Undergraduate Program Office in the Department of Mathematics.

With carefully chosen electives in education, any one of the above three degree plans can lead to teacher certification. Students interested in teacher certification may find the BA degree plan the most suitable since this degree plan offers the greatest flexibility for the inclusion of teacher certification courses.

Mathematics (MATH)

MATH 102 Algebra

Credits 3. 3 Lecture Hours. (MATH 1314, 1414) Algebra. Sets, structure of number system; absolute values, solution sets of linear and nonlinear equations, of systems of equations, and of inequalities; relations and functions, graphical representations, graphical representations, progressions, mathematical induction, determinants; also taught at Galveston campus.

MATH 135 Mathematics for Teachers I

Credits 3. 3 Lecture Hours. (MATH 1350) Mathematics for Teachers I. Concepts of sets, logic, numeration systems, elementary number theory, and properties of the various number systems with an emphasis on problem solving and critical thinking. Prerequisites: High school algebra I and II and geometry.

MATH 136 Mathematics for Teachers II

Credits 3. 3 Lecture Hours. (MATH 1351) Mathematics for Teachers II. Concepts of Euclidean geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking. Prerequisites: High school algebra I and II and geometry.

MATH 140 Mathematics for Business and Social Sciences

Credits 3. 3 Lecture Hours. (MATH 1324) Mathematics for Business and Social Sciences. Application of common algebraic functions, including polynomial, exponential, logarithmic and rational, to problems in business, economics and the social sciences; includes mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value. Only one of the following will satisfy the requirements for a degree: MATH 140 or MATH 168. Prerequisites: High school algebra I and II and geometry; not open to senior classification; also taught at Galveston campus.

MATH 142 Business Calculus

Credits 3. 3 Lecture Hours. (MATH 1325) Business Calculus. Limits and continuity; techniques and applications of derivatives including curve sketching and optimization; techniques and applications of integrals; emphasis on applications in business, economics, and social sciences. Only one of the following will satisfy the requirements for a degree: MATH 142, MATH 147, MATH 151 or MATH 171. Prerequisites: Grade of C or better in MATH 140 or MATH 150, or equivalent or acceptable score on Texas A&M University math placement exam; not open to senior classification; also taught at Galveston campus.

MATH 147 Calculus I for Biological Sciences

Credits 4. 3 Lecture Hours. 2 Lab Hours. Introduction to differential calculus in a context that emphasizes applications in the biological sciences. Only one of the following will satisfy the requirements for a degree: MATH 142, MATH 147, MATH 151 or MATH 171. Prerequisite: Grade of C or better in MATH 150 or equivalent or acceptable score on TAMU Math Placement Exam; also taught at Galveston campus.

MATH 148 Calculus II for Biological Sciences

Credits 4. 3 Lecture Hours. 2 Lab Hours. Introduction to integral calculus in a context that emphasizes applications in the biological sciences; ordinary differential equations and analytical geometry. Only one of the following will satisfy the requirements for a degree: MATH 148, MATH 152 or MATH 172. Prerequisite: MATH 147, MATH 151 or approval of instructor; also taught at Galveston campus.

MATH 150 Functions, Trigonometry and Linear Systems

Credits 4. 3 Lecture Hours. 2 Lab Hours. (MATH 2412) Functions, Trigonometry and Linear Systems. Graphs, functions, college algebra and trigonometry, linear systems and vectors; also taught at Galveston and Qatar campuses.

MATH 151 Engineering Mathematics I

Credits 4. 3 Lecture Hours. 2 Lab Hours. (MATH 2413) Engineering Mathematics I. Rectangular coordinates, vectors, analytic geometry, functions, limits, derivatives of functions, applications, integration, computer algebra. MATH 171 designed to be a more demanding version of this course. Only one of the following will satisfy the requirements for a degree: MATH 131, MATH 142, MATH 147, MATH 151 or MATH 171. Prerequisite: Grade of C or better in MATH 150 or equivalent or acceptable score on TAMU Math Placement Exam; also taught at Galveston and Qatar campuses.

MATH 152 Engineering Mathematics II

Credits 4. 3 Lecture Hours. 2 Lab Hours. (MATH 2414) Engineering Mathematics II. Differentiation and integration techniques and their applications (area, volumes, work), improper integrals, approximate integration, analytic geometry, vectors, infinite series, power series, Taylor series, computer algebra. MATH 172 designed to be a more demanding version of this course. Only one of the following will satisfy the requirements for a degree: MATH 148, MATH 152 or MATH 172. Prerequisite: Grade of C or better in MATH 151 or equivalent; also taught at Galveston and Qatar campuses.

MATH 167 Explorations in Mathematics

Credits 3. 3 Lecture Hours. Application of mathematics to topics of contemporary societal importance using quantitative methods; may include elements of management science (optimal routes, planning or scheduling), logic, sets, counting techniques (combinations and permutations), probability, statistics, cryptography, fairness (apportionment or voting), or patterns. Prerequisites: High school algebra I and II.

MATH 168 Finite Mathematics

Credits 3. 3 Lecture Hours. Linear equations and applications; systems of linear equations, matrix algebra and applications, linear programming, probability and applications, statistics. Only one of the following will satisfy the requirements for a degree: MATH 140 or MATH 168. Prerequisites: High school algebra I and II and geometry; also taught at Galveston campus.

MATH 170 Freshman Mathematics Laboratory

Credit 1. 2 Lab Hours. Computing and problem solving laboratory; introduction to the various mathematical disciplines; development of skills in mathematical problem solving and skills in teamwork. May be taken two times for credit. Prerequisites: Concurrent enrollment in MATH 150, MATH 171, or MATH 172; admission to College of Science.

MATH 171 Calculus I

Credits 4. 4 Lecture Hours. Vectors, functions, limits, derivatives, Mean Value Theorem, applications of derivatives, integrals, Fundamental Theorem of Calculus. Designed to be more demanding than MATH 151. Only one of the following will satisfy the requirements for a degree: MATH 131, MATH 142, MATH 147, MATH 151, or MATH 171. Prerequisite: Grade of C or better in MATH 150 or equivalent or acceptable score on TAMU Math Placement Exam.

MATH 172 Calculus II

Credits 4. 4 Lecture Hours. Techniques of integration, applications of integrals, improper integrals, sequences, infinite series, vector algebra and solid analytic geometry. Designed to be more demanding than MATH 152. Only one of the following will satisfy the requirements for a degree: MATH 148, MATH 152, or MATH 172. Prerequisite: Grade of C or better in MATH 147, MATH 151 or MATH 171 or equivalent.

MATH 200 Horizons of Mathematics

Credit 1. 1 Lecture Hour. Overview of different areas and topics of mathematics including logic, infinite sets, elements of topology, elements of history of mathematics; introduction to future courses in math degree plans and to some areas of research done by mathematics department faculty; topics may vary at the discretion of the instructor. Prerequisites: MATH and APMS majors; freshmen or sophomore classification; approval of instructor.

MATH 221 Several Variable Calculus

Credits 4. 4 Lecture Hours. Vector algebra and solid analytic geometry; calculus of functions of several variables; Lagrange multipliers; multiple integration, theory, methods and application; line and surface integrals, Green's and Stokes' theorems; Jacobians. Designed to be more demanding than MATH 251 and MATH 253. Only one of the following will satisfy the requirements for a degree: MATH 221, MATH 251, or MATH 253. Prerequisite: Grade of C or better in MATH 148, MATH 152, or MATH 172, or equivalent.

MATH 225 Advanced Spreadsheet Techniques

Credit 1. 1 Lecture Hour. Advanced commands, formatting and functionality of spreadsheets, with Excel being the particular example. Prerequisite: MATH or APMS major.

MATH 251 Engineering Mathematics III

Credits 3. 3 Lecture Hours. (MATH 2315) Engineering Mathematics III. Vector algebra, calculus of functions of several variables, partial derivatives, directional derivatives, gradient, multiple integration, line and surface integrals, Green's and Stokes' theorems. MATH 221 designed to be a more demanding version of this course. Only one of the following will satisfy the requirements for a degree: MATH 221, MATH 251, or MATH 253. Prerequisite: MATH 148, MATH 152, or MATH 172; also taught at Galveston and Qatar campuses.

MATH 253 Engineering Mathematics III

Credits 4. 3 Lecture Hours. 2 Lab Hours. (MATH 2415) Engineering Mathematics III. Vector algebra; calculus of functions of several variables, partial derivatives, directional derivatives, gradient, multiple integration, line and surface integrals, Green's and Stokes' theorems, computer algebra. MATH 221 designed to be a more demanding version of this course. Only one of the following will satisfy the requirements for a degree: MATH 221, MATH 251, or MATH 253. Prerequisite: MATH 148, MATH 152, or MATH 172.

MATH 281 Seminar in Mathematics

Credit 1. 1 Lecture Hour. Designed to familiarize students with mathematics pertaining to real world applications in such areas as biology, signal processing, quantum computation and robotics. May be taken four times for credit.

MATH 285 Directed Studies

Credits 1 to 4. 1 to 4 Other Hours. Special problems not covered by any other lower-division course in the curriculum; intended for freshman and sophomore students. Prerequisite: Approval of department head.

MATH 289 Special Topics in...

Credits 1 to 4. 1 to 4 Lecture Hours. Selected topics in an identified area of mathematics. May be repeated for credit. Prerequisite: Approval of instructor.

MATH 291 Research

Credits 0 to 4. 0 to 4 Other Hours. Research conducted under the direction of faculty member in mathematics. May be repeated 2 times for credit. Prerequisites: Freshman or sophomore classification and approval of instructor.

MATH 300 Foundations of Mathematics

Credits 3. 3 Lecture Hours. Foundations of mathematics including logic, set theory, combinatorics, and number theory. Prerequisite: Grade of C or better in MATH 148, MATH 152 or MATH 172, or equivalent.

MATH 302 Discrete Mathematics

Credits 3. 3 Lecture Hours. Formal structures for describing data, algorithms and computing devices; theory and applications of sets, graphs and algebraic structures. Prerequisite: MATH 148, MATH 152, or MATH 172.

MATH 304 Linear Algebra

Credits 3. 3 Lecture Hours. Introductory course in linear algebra covering abstract ideas of vector space and linear transformation as well as models and applications of these concepts, such as systems of linear equations, matrices and determinants; MATH 323 designed to be a more demanding version of this course. Only one of the following will satisfy the requirements for a degree: MATH 304, MATH 307, MATH 309, MATH 311, or MATH 323. Prerequisite: MATH 148, MATH 152, or MATH 172; junior or senior classification; also taught at Galveston campus.

MATH 307 Mathematical Methods for Material Scientists and Engineers

Credits 3. 3 Lecture Hours. Elementary ordinary differential equations and their solutions; series solutions of ordinary differential equations; linear algebra concepts covering systems of linear equations, matrices, determinants and eigenvalue problems; applications of the above topics in materials sciences and engineering. Only one of the following will satisfy the requirements for a degree: MATH 307 or MATH 308; MATH 304, MATH 307, MATH 309, MATH 311, or MATH 323. Prerequisite: MATH 221, MATH 251, or MATH 253, or concurrent enrollment.

MATH 308 Differential Equations

Credits 3. 3 Lecture Hours. Ordinary differential equations, solutions in series, solutions using Laplace transforms, systems of differential equations. Only one of the following will satisfy the requirements for a degree: MATH 307 or MATH 308. Prerequisite: MATH 221, MATH 251, or MATH 253, or concurrent enrollment; knowledge of computer algebra system; also taught at Galveston and Qatar campuses.

MATH 309 Linear Algebra for Differential Equations

Credits 3. 3 Lecture Hours. Systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonal functions, separation of variables, Fourier series, Bessel functions. Only one of the following will satisfy the requirements for a degree: MATH 304, MATH 307, MATH 309, MATH 311, or MATH 323. Prerequisites: MATH 221, MATH 251, or MATH 253; MATH 308 or concurrent enrollment; junior or senior classification or approval of instructor.

MATH 311 Topics in Applied Mathematics I

Credits 3. 3 Lecture Hours. Systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonal functions; vector analysis, including gradient, divergence, curl, line and surface integrals, Gauss', Green's and Stokes' theorems. Only one of the following will satisfy the requirements for a degree: MATH 304, MATH 307, MATH 309, MATH 311, or MATH 323. Prerequisites: MATH 221, MATH 251, or MATH 253; MATH 308 or concurrent enrollment; junior or senior classification or approval of instructor; also taught at Galveston and Qatar campuses.

MATH 323 Linear Algebra

Credits 3. 3 Lecture Hours. Linear equations and matrices; real vector spaces, linear transformations, change of bases, determinants, eigenvalues and eigenvectors, diagonalization, inner products; designed to include more theory and be more demanding than MATH 304. Only one of the following will satisfy the requirements for a degree: MATH 304, MATH 307, MATH 309, MATH 311, or MATH 323. Prerequisites: MATH 148, MATH 152 or MATH 172; MATH 300; junior or senior classification or approval of instructor.

MATH 325 The Mathematics of Interest

Credits 3. 3 Lecture Hours. The mathematical theory associated with interest; annuities; varying annuities; sinking funds and amortization; coupon bonds; valuation of noncallable bonds; yield to maturity; yield curve; spot rates and forward rates; internal rate of return; duration and convexity; portfolio immunization. Prerequisite: MATH 152 or MATH 172.

MATH 365 Structure of Mathematics I

Credits 3. 3 Lecture Hours. Logic, sets, relations, functions, whole numbers, numeration systems, integers, number theory, rational numbers, real numbers, and algebraic topics with an emphasis on problem solving, critical thinking, and mathematical communication; intended primarily for EC-8 teacher certification. Prerequisites: Grade of C or better in MATH 135 and MATH 136, or equivalents, or approval of instructor.

MATH 366 Structure of Mathematics II

Credits 3. 3 Lecture Hours. Euclidean geometry, measurement, coordinate geometry, and trigonometry with an emphasis on problem solving, critical thinking, and mathematical communication; intended primarily for EC-8 teacher certification. Prerequisites: Grade of C or better in MATH 365 or approval of instructor.

MATH 367 Structure of Mathematics III

Credits 3. 3 Lecture Hours. Euclidean geometry, coordinate geometry, and elementary calculus concepts with an emphasis on problem solving, critical thinking, proofs, and mathematical communication; intended primarily for 4-8 teacher certification. Prerequisites: Grade of C or better in MATH 366 or approval of instructor.

MATH 375 Intermediate Real Analysis

Credits 3. 3 Lecture Hours. Development of the real numbers, limits, foundations and major theorems of calculus. Designed primarily for mathematics teacher certification. Others must have consent of instructor. Prerequisite: MATH 300 or equivalent.

MATH 376 Intermediate Abstract Algebra

Credits 3. 3 Lecture Hours. Relations, functions, binary operators, rings, homomorphisms, integral domains and fields. Designed primarily for mathematics teacher certification. Others must have consent of instructor. Prerequisites: MATH 300 or MATH 302; MATH 304 or equivalent.

MATH 396 Communications in Mathematics

Credit 1. 1 Lecture Hour. Electronic, written, and oral communications in mathematics. Prerequisites: MATH 300, junior or senior classification, and mathematics major.

MATH 401 Advanced Engineering Mathematics

Credits 3. 3 Lecture Hours. Engineering mathematics including Perturbation Theory, Fourier series and partial differential equations. Designed primarily for engineering majors. Others must have consent of instructor. Prerequisite: MATH 308; also taught at Galveston campus.

MATH 403 Mathematics and Technology

Credits 3. 3 Lecture Hours. Mathematical problem-solving and communication through the use of various technologies (both hardware and software). Intended primarily, but not limited to, students working toward teacher certification. Prerequisite: Grade of C or better in MATH 467.

MATH 407 Complex Variables

Credits 3. 3 Lecture Hours. Fundamental theory of analytic functions, including residues and their applications. Prerequisite: MATH 221, MATH 251, or MATH 253.

MATH 409 Analysis on the Real Line

Credits 3. 3 Lecture Hours. Cardinality; properties of the real numbers; the completeness axiom; sequences and series; continuity and uniform continuity; differentiation; the Riemann integral. Prerequisites: MATH 300; MATH 221, MATH 251 or MATH 253.

MATH 410 Multivariate Real Analysis

Credits 3. 3 Lecture Hours. Differential and integral calculus of functions defined on Rm including inverse and implicit function theorems and change of variable formulas for integration; uniform convergence. Prerequisites: MATH 304 or MATH 323; grade of C or better in MATH 409.

MATH 411 Mathematical Probability

Credits 3. 3 Lecture Hours. Probability spaces, discrete and continuous random variables, special distributions, joint distributions, expectations, law of large numbers, the central limit theorem. Prerequisite: MATH 221, MATH 251, or MATH 253.

MATH 412 Theory of Partial Differential Equations

Credits 3. 3 Lecture Hours. Formulation and solution of partial differential equations of mathematical physics; Fourier series and transform methods, complex variable methods, methods of characteristics and first order equations. Prerequisite: MATH 308 or approval of instructor.

MATH 414 Fourier Series and Wavelets

Credits 3. 3 Lecture Hours. Fourier series and wavelets with applications to data compression and signal processing. Prerequisite: MATH 304, MATH 309, MATH 311, or MATH 323; also taught at Qatar campus.

MATH 415 Modern Algebra I

Credits 3. 3 Lecture Hours. A study of groups, rings, fields with emphasis on the theoretical aspects and proofs. Prerequisite: MATH 300; MATH 304, MATH 309, MATH 311, or MATH 323.

MATH 416 Modern Algebra II

Credits 3. 3 Lecture Hours. Continuation of topics introduced in MATH 415 including Galois Theory and the Sylow Theorems with emphasis on the theoretical aspects. Prerequisite: MATH 415; junior or senior classification.

MATH 417 Numerical Methods

Credits 4. 3 Lecture Hours. 3 Lab Hours. Numerical methods for applications; qualitative discussion of convergence and stability properties; computer implementation; interpolation and quadrature, initial value problems, matrix decompositions, interactive solution of linear and non-linear systems, least squares approximation, boundary value problems for ordinary differential equations. Only one of the following will satisfy the requirements for a degree: MATH 417 or MATH 437. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; MATH 308; ability to program; junior or senior classification.

MATH 419 Applications of Actuarial Science

Credits 3. 3 Lecture Hours. Applications of actuarial science using mathematical and statistical methods to assess risk in the insurance and finance industries; emphasis on probability, statistics, finance and economics; focus on using probabilistic models in the estimation of insurance premiums. Prerequisite: MATH 411 or STAT 414 or approval of math advisor.

MATH 420 Application of Actuarial Science II

Credits 2. 2 Lecture Hours. Use of mathematical and statistical methods to price various financial instruments, such as bonds; understanding how the term structure of interest rates affect the price of these instruments. Prerequisite: MATH 325 or concurrent enrollment, or approval of instructor.

MATH 423 Linear Algebra II

Credits 3. 3 Lecture Hours. Eigenvalues, similarity and canonical forms, advanced topics to be chosen by the instructor. Prerequisites: MATH 300 or CSCE 222/ECEN 222; MATH 304 or MATH 323, or approval of instructor.

MATH 424/STAT 424 Probability and Computing

Credits 3. 3 Lecture Hours. Applications of modern probability in data science, with an emphasis on randomization and the role of probabilistic techniques in computing; discrete random variables and expectation; deviation inequalities and applications to randomized algorithms; probabilistic methods and satisfiability; Monte Carlo method; sample complexity; combinatorial dimension. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; MATH 411 or STAT 414. Cross Listing: STAT 424/MATH 424.

MATH 425 The Mathematics of Contingent Claims

Credits 3. 3 Lecture Hours. The mathematical theory associated with asset price dynamics; binomial pricing models; Black-Scholes analysis; hedging; volatility smile; implied volatility trees; implied binomial trees. Prerequisites: MATH 308; MATH 411, STAT 211 or STAT 414.

MATH 427 Introduction to Number Theory

Credits 3. 3 Lecture Hours. Prime and composite integers; Euclidean algorithm; modular arithmetic; Chinese remainder theorem; unique factorization; quadratic reciprocity; Riemann zeta function; representation of numbers as a sum of squares. Prerequisites: MATH 300; MATH 304 or MATH 323.

MATH 431 Structures and Methods of Combinatorics

Credits 3. 3 Lecture Hours. Enumerative techniques generating functions, partially ordered sets, elementary graph theory, elementary Ramsey theory. Prerequisite: MATH 300 or MATH 302 or approval of instructor; also taught at Galveston.

MATH 433 Applied Algebra

Credits 3. 3 Lecture Hours. An introduction to groups, rings, fields with emphasis on modular arithmetic; applications to number theory, coding theory, and other areas. Prerequisites: MATH 300 or MATH 302; MATH 304 or MATH 323.

MATH 436 Introduction to Topology

Credits 3. 3 Lecture Hours. Metric spaces; continuity of metric spaces; topological spaces; basic notions; separation axioms; compactness; local compactness; connectedness; basic notions in homotopy theory; quotient spaces, paracompactness and topological manifolds. Prerequisite: MATH 409.

MATH 437 Principles of Numerical Analysis

Credits 4. 3 Lecture Hours. 3 Lab Hours. Mathematical principles of numerical analysis and their application to the study of particular methods; fixed-point iteration, Newton's method; normed vector spaces and operators, Schur decomposition, convergent matrices, minimization methods, conjugate gradient method; polynomial interpolation of Lagrange and Hermite; best approximation, Bernstein and Weierstrass Theorems, numerical quadrature. Only one of the following will satisfy the requirements for a degree: MATH 417 or MATH 437. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; MATH 308; grade of C or better in MATH 409; ability to program; junior or senior classification.

MATH 439 Differential Geometry of Curves and Surfaces

Credits 3. 3 Lecture Hours. Local and global theory of parameterized curves; regular surfaces, local coordinates, first fundamental form, orientation, area; Gauss map, second fundamental form; Gauss Bonnet theorem; additional topics to be selected by the instructor. Prerequisites: MATH 308; MATH 304 or MATH 323.

MATH 442 Mathematical Modeling

Credits 3. 3 Lecture Hours. The construction of mathematical models from areas such as economics, game theory, integer programming, mathematical biology and mathematical physics. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; MATH 308 or equivalent.

MATH 446 Analysis on Metric Spaces

Credits 3. 3 Lecture Hours. Review of analysis on the real line; topology of metric spaces; completeness; compact and connected spaces; properties of the space of continuous functions; convergence and approximation; other topics may include the Baire Category theorem, the Stone-Weierstrass theorem, or Fourier series. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; grade of C or better in MATH 409; junior or senior classification.

MATH 447 Integration and Measure Theory

Credits 3. 3 Lecture Hours. Functions of bounded variation; Riemann-Stieltjes integration; Lebesgue measure and measurable functions; Lebesgue integration and L^p spaces; convergence of Fourier series; other topics may include the Stone-Weierstrass theorem and convergence in measure. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; MATH 446, or MATH 410 and MATH 436.

MATH 460 Tensors and General Relativity

Credits 3. 3 Lecture Hours. Vectors and tensors in special relativity, curvature, manifolds, covariant differentiation, Einstein field equations, Schwarzschild geometry and black holes, cosmology, gauge field theories. Prerequisites: MATH 308; PHYS 331 or MATH 323 or MATH 311; junior or senior classification.

MATH 467 Modern Geometry

Credits 3. 3 Lecture Hours. Modern development of Euclidean geometry (Hilbert axioms) with historical and philosophical context; independence of the parallel postulate; models of hyperbolic non-Euclidean geometry. Prerequisite: Grade of C or better in MATH 304, MATH 309, MATH 311, MATH 300 or MATH 323.

MATH 469 Introduction to Mathematical Biology

Credits 3. 3 Lecture Hours. Introduction to mathematical modeling techniques in the biological sciences; continuous versus discrete models; deterministic versus stochastic models; includes population dynamics and ecology, spread of infectious diseases, population genetics and evolution, spatial pattern formation. Prerequisites: MATH 304 or MATH 323; MATH 308 or equivalent.

MATH 470 Communications and Cryptography

Credits 3. 3 Lecture Hours. Introduction to coded communications, digital signatures, secret sharing, one-way functions, authentication, error control and data compression. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; CSCE 110,CSCE 111, CSCE 120, CSCE 206, ENGR 102, or ENGR 112; approval of instructor.

MATH 471 Communications and Cryptography II

Credits 3. 3 Lecture Hours. Additional topics in coded communications; information and entropy, elliptical curves, error corrections, quantum methods. Prerequisites: MATH 470 or consent of instructor.

MATH 472 Elliptic Curve Cryptography

Credits 3. 3 Lecture Hours. Theory of the group law on elliptic curves with applications to problems in cryptography; elliptic curves over finite fields, rational numbers, real and complex numbers; elliptic curve based cryptosystems, digital signatures, and factorization methods. Prerequisites: MATH 415 or MATH 433.

MATH 478 Topological Data Analysis

Credits 3. 3 Lecture Hours. Topological Data Analysis with a view toward persistent homology of point clouds for applications to data analysis; homology of simplicial complexes over a field; functorial clustering methods; persistent homology; real-world applications to data analysis. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323.

MATH 482 Research Seminar

Credits 3. 3 Lecture Hours. Problems, methods and recent developments in mathematics, with emphasis on projects, and written and oral presentations. Prerequisites: MATH 409 or MATH 415 ; MATH 304, MATH 309, MATH 311 or MATH 323; junior or senior classification; approval of instructor.

MATH 485 Directed Studies

Credits 1 to 8. 1 to 8 Other Hours. Special problems in mathematics not covered by any other course in the curriculum. Work may be in either theory or laboratory. Prerequisite: Approval of department head; also taught at Galveston campus.

MATH 489 Special Topics in...

Credits 1 to 4. 1 to 4 Lecture Hours. Selected topics in an identified area of mathematics. May be repeated for credit. Prerequisite: Approval of instructor; also taught at Galveston campus.

MATH 490 The Putnam Challenge

Credit 1. 1 Lecture Hour. Intensive individualized training for preparation for the Putnam Exam, a national contest for mathematics majors. May be taken four times for credit. Prerequisites: Approval of instructor; junior or senior classification.

MATH 491 Research

Credits 0 to 3. 0 to 3 Other Hours. Active research of basic nature under supervision of Department of Mathematics or affiliated department graduate faculty member; a maximum of 6 hours of credit can be used in degree plans. Registration in multiple sections of this course is possible within a given semester provided that the per semester credit hour limit is not exceeded. Prerequisites: Mathematics or applied mathematical sciences major or minor; junior or senior classification or approval of mathematics advisor; also taught at Galveston campus.

Allen, Angela J, Instructional Associate Professor
Mathematics
MS, Texas A&M University, 2005

Anshelevich, Michael V, Professor
Mathematics
PHD, University of California at Berkeley, 2000

Austin, Amy L, Instructional Associate Professor
Mathematics
MS, Texas A&M University, 1994

Baskin, Dean R, Professor
Mathematics
PHD, Stanford University, 2010

Battle, Guy A, Professor
Mathematics
PHD, Duke University, 1977

Baudier, Florent P, Associate Professor
Mathematics
PHD, Universite De Besancon, 2010

Berkolaiko, Gregory, Professor
Mathematics
PHD, University of Bristol, 2001

Bobkova, Irina, Associate Professor
Mathematics
PHD, Northwestern University, 2014

Bollinger, Kathryn L, Instructional Associate Professor
Mathematics
MS, Texas A&M University, 1998

Bonito, Andrea, Professor
Mathematics
PHD, Ecole Polytechnique Federale de Lausanne, Switzerland, 2006

Cantu, Justin C, Instructional Assistant Professor
Mathematics
PHD, Texas A&M University, 2019

Cartee, Elliot, Instructional Assistant Professor
Mathematics
PHD, Cornell University, 2020

Carter, Tamara A, Instructional Associate Professor
Mathematics
PHD, Texas A&M University, 2005

Cecchini, Simone, Assistant Professor
Mathematics
PHD, Northeastern University, 2017

Chen, Goong, Professor
Mathematics
PHD, University of Wisconsin, Madison, 1977

Chu, Hung Viet, Visiting Assistant Professor
Mathematics
PHD, University of Illinois Urbana-Champaign, 2023

Coffelt, Vanessa Lea, Instructional Associate Professor
Mathematics
MS, Kansas State University, 2005

Comech, Andrew, Associate Professor
Mathematics
PHD, Columbia University, 1997

Daripa, Prabir, Professor
Mathematics
PHD, Brown University, 1985

Demlow, Alan, Professor
Mathematics
PHD, Cornell University, 2002

Devore, Ronald A, Distinguished Professor
Mathematics
PHD, Ohio State University, 1967

Dorpalen-Barry, Galen, Assistant Professor
Mathematics
PHD, University of Minnesota, 2021

Dykema, Kenneth J, Professor
Mathematics
PHD, University of California at Berkeley, 1993

Efendiev, Yalchin R, Professor
Mathematics
PHD, California Institute of Technology, 1999

Erukulangara, Muhammed Rashad, Instructional Assistant Professor
Mathematics
PHD, University of South Florida, 2024

Favrie, Nicolas, Visiting Professor
Mathematics
PHD, Universite Aix Marseille 1, 2008

Ferraro, Giacomo Hermes, Visiting Assistant Professor
Mathematics
PHD, Universite Bourgogne Franche-Comte, 2023

Fillman, Jake, Assistant Professor
Mathematics
PHD, Rice University, 2015

Fisk, John David, Lecturer
Mathematics
MA, University of Houston, 2018

Foran, Ali, Instructional Associate Professor
Mathematics
PHD, Texas A&M University, 2018

Foucart, Simon, Professor
Mathematics
PHD, University of Cambridge, 2005

Fovelle, Audrey, Visiting Assistant Professor
Mathematics
PHD, Universite Bourgogne Franche-Comte, 2023

Garcia, Bradford A, Lecturer
Mathematics
PHD, Texas A&M University, 2022

Goncharuk, Nataliya, Assistant Professor
Mathematics
PHD, Institute for Information Transmission Problems, 2016

Gong, Sherry, Associate Professor
Mathematics
PHD, Massachusetts Institute of Technology, 2018

Grigorchuk, Rostislav, Distinguished Professor
Mathematics
PHD, Moscow State University of Lomomosov, 1978

Guermond, Jean-Luc, Professor
Mathematics
PHD, Sorbonne Universites, 1995

Hening, Alexandru, Associate Professor
Mathematics
PHD, University of California - Berkeley, 2013

Hester, Yvette C, Instructional Associate Professor
Mathematics
PHD, Texas A&M University, 2000

Howard, Peter B, Professor
Mathematics
PHD, Indiana University, 1998

Hu, Runjie, Visiting Assistant Professor
Mathematics
MS, Peking University, 2018

Huang, Hang, Assistant Professor
Mathematics
PHD, University of Wisconsin, 2019

Hussein, Saud, Lecturer
Mathematics
PHD, University of Houston, 2016

Janssens, Sebastiaan Gerard, Instructor
Mathematics
MSC, Universiteit Utrecht, 2010

Kahlig, Joe E, Instructional Associate Professor
Mathematics
MS, Texas A&M University, 1994

Kang, Minchul, Instructional Assistant Professor
Mathematics
PHD, University of Minnesota, 2005

Kapita, Shelvean, Instructional Assistant Professor
Mathematics
PHD, University of Delaware, 2016

Karn, Trevor, Visiting Assistant Professor
Mathematics
MS, University of Minnesota, 2022

Kazemi, Sana, Instructional Assistant Professor
Mathematics
PHD, University of Memphis, 2022

Kilmer, Kendra R, Instructional Associate Professor
Mathematics
MS, Texas A&M University, 2003

Kim, Joung Dong, Instructional Associate Professor
Mathematics
PHD, State University of New York at Stony Brook, 2012

Kim, Young Ho, Visiting Assistant Professor
Mathematics
BS, Seoul National University, 2019

Klein, Heather Lynette, Instructional Professor
Mathematics
MS, Texas A&M University, 2004

Klein, Patricia, Assistant Professor
Mathematics
PHD, University of Michigan, 2018

Kuchment, Peter, Distinguished Professor
Mathematics
PHD, Kharkov State University, Russia, 1973

Lacini, Justin, Assistant Professor
Mathematics
PHD, University of California, San Diego, 2020

Landsberg, Joseph M, Professor
Mathematics
PHD, Duke University, 1990

Larson, David R, Professor
Mathematics
PHD, University of California at Berkeley, 1976

Lee, Jong Jun, Instructional Assistant Professor
Mathematics
PHD, University of Maryland, 2014

Lee, Sang Rae, Instructional Associate Professor
Mathematics
PHD, University of Oklahoma, 2012

Li, Long, Visiting Assistant Professor
Mathematics
PHD, Nanjing University, 2022

Lim, Yi Sheng, Visiting Assistant Professor
Mathematics
PHD, University of Bath, 2023

Lima-Filho, Paulo, Professor
Mathematics
PHD, State University of New York at Stony Brook, 1989

Liu, Chun-Hung, Associate Professor
Mathematics
PHD, Georgia Institute of Technology, 2014

Liu, Wencai, Professor
Mathematics
PHD, Fudan University, 2015

Liu, Xin, Assistant Professor
Mathematics
PHD, The Chinese University of Hong Kong, 2017

Lockhart, Bret James, Lecturer
Mathematics
MS, Texas A&M University, 2010

Luhrmann, Jonas, Associate Professor
Mathematics
PHD, Eidgenössische Technische Hochschule Zürich, 2016

Ma, Qiaochu, Visiting Assistant Professor
Mathematics
PHD, UFR de Mathematiques, Universite de Paris, 2022

Maier, Matthias, Associate Professor
Mathematics
PHD, Ruprecht-Karls Universitat Heidelberg, Germany, 2015

Mandziuk, Tomasz, Visiting Assistant Professor
Mathematics
PHD, University of Warsaw, 2022

Manuel, David J, Instructional Professor
Mathematics
MS, Texas A&M University, 1994

Mashburn, Jacob W, Instructional Assistant Professor
Mathematics
PHD, Texas A&M University, 2022

Masri, Mohamad R, Professor
Mathematics
PHD, The University of Texas at Austin, 2005

Matusevich, Laura F, Professor
Mathematics
PHD, University of California at Berkeley, 2002

Mendelson, Shahar, Professor
Mathematics
PHD, Technion, Israel Institute of Technology, 1998

Morvant, Angelique E, Lecturer
Mathematics
PHD, Texas A&M Universitiy, 2024

Narcowich, Francis J, Professor
Mathematics
PHD, Princeton University, 1972

Nekrashevych, Volodymyr, Professor
Mathematics
PHD, Taras Shevchenko National University, Russia, 1998

Olvera, Hugo, Lecturer
Mathematics
MS, The University of Texas Pan American, 2014

Onica, Constantin, Instructional Associate Professor
Mathematics
PHD, Texas A&M University, 2005

Paouris, Grigorios, Professor
Mathematics
PHD, University of Crete, 2004

Papanikolas, Matthew A, Professor
Mathematics
PHD, Brown University, 1998

Pearlstein, Rosanna, Lecturer
Mathematics
PHD, University of Massachusetts Amherst, 1998

Perales, Daniel, Visiting Assistant Professor
Mathematics
PHD, University of Waterloo, 2022

Petrova, Guergana P, Professor
Mathematics
PHD, University of Southern Carolina, 1999

Popov, Bojan D, Professor
Mathematics
PHD, University of Southern Carolina, 1999

Rahm, Robert S, Instructional Associate Professor
Mathematics
PHD, Washington University in St. Louis, 2017

Ranabhat, Min Bahadur, Instructional Assistant Professor
Mathematics
PHD, Kansas State University, 2020

Reihani, Kamran, Instructional Assistant Professor
Mathematics
PHD, Tarbiat Modares University, 2005

Rojas, Joseph M, Professor
Mathematics
PHD, University of California at Berkeley, 1995

Rowell, Eric C, Professor
Mathematics
PHD, University of California at San Diego, 2003

Rundell, William, Professor
Mathematics
PHD, Glasgow University, 1974

Schielack, Vincent, Associate Professor
Mathematics
PHD, The University of Texas at Austin, 1982

Schlumprecht, Thomas B, Professor
Mathematics
PHD, Ludwig Maximilians Universitat, Germany, 1988

Schrader, Todd W, Instructional Associate Professor
Mathematics
MS, Texas A&M University, 2016

Sengupta, Sinjini, Instructional Associate Professor
Mathematics
PHD, Florida State University, 2006

Shatalov, Oksana, Instructional Professor
Mathematics
PHD, Technion - Israel Institute of Technology, 2001

Shiu, Anne J, Professor
Mathematics
PHD, University of California at Berkeley, 2010

Siegel, Jonathan, Assistant Professor
Mathematics
PHD, University of California, Los Angeles, 2018

Siktar, Joshua, Visiting Assistant Professor
Mathematics
PHD, University of Tennessee, Knoxville, 2024

Simanjuntak, Paul, Visiting Assistant Professor
Mathematics
PHD, University of Missouri-Columbia, 2023

Smith, Roger R, Professor
Mathematics
PHD, University of Oxford, 1976

Sottile, Frank J, Professor
Mathematics
PHD, University of Chicago, 1994

Sprekeler, Timo Frank, Assistant Professor
Mathematics
PHD, University of Oxford, 2021

Stiller, Peter F, Professor
Mathematics
PHD, Princeton University, 1977

Sze, Christopher, Lecturer
Mathematics
PHD, University of South Florida, 2023

Thicke, Kyle Steven, Instructional Assistant Professor
Mathematics
PHD, Duke University, 2019

Titi, Edriss S, Professor
Mathematics
PHD, Indiana University, Bloomington, 1986

Tran, Minh Binh, Associate Professor
Mathematics
PHD, Paris 13 University, 2011

Victor, Collin, Visiting Assistant Professor
Mathematics
PHD, University of Nebraska - Lincoln, 2023

Vorobets, Mariya, Instructional Associate Professor
Mathematics
PHD, Lviv National University, 2004

Vorobets, Yaroslav, Associate Professor
Mathematics
PHD, Moscow Lomonosov State University, 1998

Wang, Kun, Instructional Assistant Professor
Mathematics
PHD, University of Puerto Rico, Rio Piedras, 2014

Wang, Xueyin, Visiting Assistant Professor
Mathematics
PHD, Nankai University, 2024

Weeks, John M, Instructional Assistant Professor
Mathematics
PHD, Mathematics, 2022

Welsh, Andrea, Visiting Assistant Professor
Mathematics
PHD, Georgia Institute of Technology, 2019

White, Jacob Anthony, Instructional Assistant Professor
Mathematics
PHD, Arizona State University, 2010

Whitfield, Jennifer G, Instructional Professor
Mathematics
PHD, Texas A&M University, 2017

Willis, Michael, Assistant Professor
Mathematics
PHD, University of Virginia, 2017

Witherspoon, Sarah J, Professor
Mathematics
PHD, University of Chicago, 1994

Xie, Zhizhang, Professor
Mathematics
PHD, The Ohio State University, 2011

Yan, Huafei, Professor
Mathematics
PHD, Massachusetts Institute of Technology, 1997

Yang, Tian, Associate Professor
Mathematics
PHD, Rutgers University at New Brunswick, 2013

Yang, Yuxuan, Visiting Assistant Professor
Mathematics
BS, Peking University, 2020

Yasskin, Philip B, Associate Professor
Mathematics
PHD, University of Maryland, 1979

Yershova, Yuliia, Visiting Assistant Professor
Mathematics
PHD, Institute of Mathematics of National Academy of Sciences of Ukraine, 2015

Yoo, Youngho, Visiting Assistant Professor
Mathematics
PHD, Georgia Institute of Technology, 2022

Yu, Guoliang, Professor
Mathematics
PHD, State University Of New York At Stony Brook, 1991

Zelenko, Igor, Professor
Mathematics
PHD, Technion - Israel Institute of Technology, 2002

Zhong, Suhan, Visiting Assistant Professor
Mathematics
PHD, University of California- San Diego, 2019

Zhou, Jianxin, Professor
Mathematics
PHD, Pennsylvania State University, 1986

Zhu, Bo, Visiting Assistant Professor
Mathematics
MA, Peking University, 2016