Courses

MATH 101  Math in the Social Sciences (GT-MA1)  Credits: 3 (2-2-0)

Course Description: Voting theory, power indices, fair division, apportionment, circuits and trees, list processing, descriptive statistics, probability.
Prerequisite: None.
Registration Information: Must register for lecture and laboratory. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 105  Patterns of Phenomena  Credits: 3 (2-0-1)

Course Description: Applications of mathematical ideas and mode of thought in the arts and humanities, focusing on classification, recognition.
Prerequisite: None.
Registration Information: Mathematics Placement Examination or Mathematics Challenge Exam required.
Terms Offered: Fall, Spring.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B.

MATH 117  College Algebra in Context I (GT-MA1)  Credit: 1 (1-0-0)

Course Description: Functions as mathematical models. Linear, quadratic, and polynomial functions considered symbolically, graphically, numerically, and contextually.
Prerequisite: None.
Registration Information: Mathematics Placement Examination or Mathematics Challenge Exam required. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 118  College Algebra in Context II (GT-MA1)  Credit: 1 (1-0-0)

Course Description: Reciprocals of linear functions, rational functions, and power functions considered symbolically, graphically, numerically, and contextually.
Prerequisite: MATH 117, may be taken concurrently.
Registration Information: MATH 117 or Mathematics Placement Examination or Mathematics Challenge Examination required. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 124  Logarithmic and Exponential Functions (GT-MA1)  Credit: 1 (1-0-0)

Course Description: Definition and graphs of exponential and logarithmic functions, properties of logarithmic functions, exponential and logarithmic equations, applications.
Prerequisite: MATH 118, may be taken concurrently.
Registration Information: Required: MATH 118 or Mathematics Placement Examination or Mathematics Challenge Examination. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 125  Numerical Trigonometry (GT-MA1)  Credit: 1 (1-0-0)

Course Description: Definition and graphs of trigonometric functions, laws of sines and cosines, solutions of right and oblique triangles, applications.
Prerequisite: MATH 118, may be taken concurrently.
Registration Information: MATH 118 or Mathematics Placement Examination or Mathematics Challenge Examination required. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 126  Analytic Trigonometry (GT-MA1)  Credit: 1 (1-0-0)

Course Description: Inverse trigonometric functions, trigonometric identities, solving trigonometric equations.
Prerequisite: MATH 125, may be taken concurrently.
Registration Information: MATH 125 or Mathematics Placement Examination or Mathematics Challenge Examination required. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 141  Calculus in Management Sciences (GT-MA1)  Credits: 3 (3-0-0)

Course Description: Analytic geometry, limits, equilibrium of supply and demand, differentiation, integration, applications of the derivative, integral.
Prerequisite: MATH 118.
Registration Information: Sections may be offered: Online. Credit allowed for only one of the following courses: MATH 141, MATH 155, MATH 159, or MATH 160.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 151  Mathematical Algorithms in Matlab I  Credit: 1 (0-2-0)

Course Description: Statements, expressions and variable assignments, scripts, control statements and logical statements. Newton's method, Simpson's rule, recursion.
Prerequisite: MATH 141 or MATH 155 or MATH 160.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 152  Mathematical Algorithms in Maple  Credit: 1 (0-2-0)

Course Description: Iteration and recursion, control and logical statements, expressions, functions, data types, binary numbers, symbolic manipulation of terms.
Prerequisite: MATH 141 or MATH 155 or MATH 160.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 155  Calculus for Biological Scientists I (GT-MA1)  Credits: 4 (4-0-0)

Course Description: Limits, continuity, differentiation, and integration of elementary functions with applications in the biosciences.
Prerequisite: (MATH 124) and (MATH 125).
Registration Information: Credit allowed for only one of the following courses: MATH 141, MATH 155, MATH 159, or MATH 160. Programmable graphing calculator required.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 157  One Year Calculus IA (GT-MA1)  Credits: 3 (3-0-0)

Course Description: Algebra and trigonometry, study skills for calculus. Limits, continuity, differentiation of elementary functions with applications.
Prerequisite: (MATH 124, may be taken concurrently) and (MATH 126).
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 158  Mathematical Algorithms in C  Credit: 1 (0-2-0)

Also Offered As: CS 158.
Course Description: Compilers, expressions, variable types, control statements, pointers, logical statements, plotting, secant method, trapezoidal rule, recursion.
Prerequisite: MATH 151 and CS 156 and MATH 160.
Registration Information: Credit not allowed for both MATH 158 and CS 158.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 159  One Year Calculus IB (GT-MA1)  Credits: 3 (3-0-0)

Course Description: Study skills for calculus. Differentiation and integration of elementary functions with applications. Conic section.
Prerequisite: MATH 157.
Registration Information: Credit allowed for only one of the following: MATH 141, MATH 155, MATH 159, or MATH 160.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 160  Calculus for Physical Scientists I (GT-MA1)  Credits: 4 (3-2-0)

Course Description: Limits, continuity, differentiation, and integration of elementary functions with applications; conic sections.
Prerequisite: (MATH 124 with a minimum grade of B) and (MATH 126 with a minimum grade of B).
Registration Information: Must register for lecture and laboratory. Sections may be offered: Online. Credit allowed for only one of the following courses: MATH 141, MATH 155, MATH 159 or MATH 160.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 161  Calculus for Physical Scientists II (GT-MA1)  Credits: 4 (3-2-0)

Course Description: Transcendental functions, integration techniques, polar coordinates, sequences and series, with mathematical software.
Prerequisite: (MATH 124) and (MATH 159 or MATH 160).
Registration Information: Must register for lecture and laboratory. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B, Mathematics (GT-MA1).

MATH 192  First Year Seminar in Mathematical Sciences  Credit: 1 (0-0-1)

Course Description: Introduction to the richness and variety of problems addressed by mathematical language and techniques; resources and available careers.
Prerequisite: None.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 229  Matrices and Linear Equations  Credits: 2 (2-0-0)

Course Description: Linear systems, matrix arithmetic, homogeneous coordinates, complex numbers, eigenvalues, eigenvectors, applications to discrete dynamical systems.
Prerequisite: MATH 141 or MATH 155 or MATH 160.
Registration Information: Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 230  Discrete Mathematics for Educators  Credits: 3 (2-2-0)

Course Description: Voting theory, fair division, graph theory, linear programming, probability, teaching in small groups, proof techniques, mathematical technology.
Prerequisite: MATH 161 and EDUC 275, may be taken concurrently.
Registration Information: Credit not allowed for both MATH 230 and MATH 330.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 235  Introduction to Mathematical Reasoning  Credits: 2 (2-0-0)

Course Description: Mathematical statements and proof techniques, induction, set theory, inequalities, number systems, functions.
Prerequisite: MATH 161 or MATH 271.
Terms Offered: Fall, Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 255  Calculus for Biological Scientists II  Credits: 4 (4-0-0)

Course Description: Derivatives and integrals of functions of several variables, differential and difference equations, matrices, applications in the biosciences.
Prerequisite: (MATH 126, may be taken concurrently) and (MATH 155).
Registration Information: Credit not allowed for both MATH 255 and MATH 261.Programmable graphing calculator required.
Terms Offered: Fall, Spring.
Grade Mode: Traditional.
Special Course Fee: No.
Additional Information: Quantitative Reasoning 1B.

MATH 261  Calculus for Physical Scientists III  Credits: 4 (4-0-0)

Course Description: Vector functions, partial differentiation, cylindrical and spherical coordinates, multiple integrals, line integrals, Green's theorem.
Prerequisite: MATH 161.
Registration Information: Sections may be offered: Online. Credit not allowed for both MATH 255 and MATH 261.
Terms Offered: Fall, Spring, Summer.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 271  Applied Mathematics for Chemists I  Credits: 4 (4-0-0)

Course Description: Series and limits, Taylor series, complex variables, first- and second- order ordinary differential equations, matrices, linear transformations, determinants, and eigenvalues.
Prerequisite: MATH 155 or MATH 159 or MATH 160.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 272  Applied Mathematics for Chemists II  Credits: 4 (4-0-0)

Course Description: Vector fields, partial differentiation, cylindrical and spherical coordinates, multiple integrals, line integrals, the Wave and the Schrödinger equations, separation of variables method. Inner Product Spaces. Fourier Series.
Prerequisite: MATH 271.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 301  Introduction to Combinatorial Theory  Credits: 3 (3-0-0)

Course Description: Matrices, orthogonal Latin squares, designs, difference sets, sets, binomial coefficients, inclusion and exclusion, recurrence, Ramsey's theorem, SDRs.
Prerequisite: MATH 161.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 317  Advanced Calculus of One Variable  Credits: 3 (3-0-0)

Course Description: Convergence of sequences, series: limits, continuity, differentiation, integration of one-variable functions.
Prerequisite: (MATH 161) and (MATH 230 or MATH 235).
Terms Offered: Fall, Spring, Summer.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 331  Introduction to Mathematical Modeling  Credits: 3 (3-0-0)

Course Description: Problem formulation. Modeling, theoretical and empirical. Variable selection. Derivation and simulation of solutions. Model testing including prediction.
Prerequisite: (MATH 161, may be taken concurrently) and (MATH 229, may be taken concurrently or MATH 369, may be taken concurrently).
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 332  Partial Differential Equations  Credits: 3 (3-0-0)

Course Description: Partial differential equations, separation of variables, Fourier series and transforms, Laplace, heat and wave equations.
Prerequisite: MATH 340 or MATH 345.
Registration Information: Credit not allowed for both MATH 332 and MATH 530.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 340  Introduction to Ordinary Differential Equations  Credits: 4 (3-2-0)

Course Description: First and second order equations, series, Laplace transforms, linear algebra, eigenvalues, first order systems of equations, numerical techniques.
Prerequisite: MATH 255 or MATH 261.
Registration Information: Must register for lecture and laboratory. Credit not allowed for both MATH 340 and MATH 345.
Terms Offered: Fall, Spring, Summer.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 345  Differential Equations  Credits: 4 (3-2-0)

Course Description: First and second order equations, LaPlace transforms, first order systems of equations, numerical methods, applied linear algebra, linearization.
Prerequisite: (MATH 229 or MATH 369) and (MATH 255 or MATH 261).
Registration Information: Must register for lecture and laboratory. Credit not allowed for both MATH 345 and MATH 340.
Terms Offered: Fall, Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 348  Theory of Population and Evolutionary Ecology  Credits: 4 (3-3-0)

Also Offered As: BZ 348.
Course Description: Principles and methods for building, analyzing, and interpreting mathematical models of ecological and evolutionary problems in biology.
Prerequisite: MATH 155 or MATH 160.
Registration Information: Must register for lecture and laboratory. Credit allowed for only one of the following: BZ 348, BZ 548, MATH 348.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 360  Mathematics of Information Security  Credits: 3 (3-0-0)

Course Description: Codes, ciphers, Chinese remainder theorem, primality testing, public key ciphers, RSA, finite fields, discrete algorithms, AES encryption.
Prerequisite: (MATH 229 or MATH 369) and (MATH 161).
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 366  Introduction to Abstract Algebra  Credits: 3 (3-0-0)

Course Description: Sets, integers, polynomials, real and complex numbers, groups, integral domains, and fields; development of skills for proving theorems.
Prerequisite: MATH 161 or MATH 271.
Terms Offered: Fall, Spring, Summer.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 369  Linear Algebra I  Credits: 3 (3-0-0)

Course Description: Linear systems, matrices, subspaces of Euclidean spaces, linear transformations on Euclidean spaces, eigenvalues, eigenvectors.
Prerequisite: MATH 161 or MATH 255 or MATH 271.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 384  Supervised College Teaching  Credit: 1 (1-0-0)

Course Description: Skills for effective tutoring of precalculus mathematics; design and implementation of the Individualized Mathematics Program.
Prerequisite: None.
Registration Information: Written consent of instructor. May not be used to satisfy Mathematics degree requirements. A maximum of 10 combined credits for all 384 and 484 courses are counted towards graduation requirements.
Terms Offered: Fall, Spring.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 405  Introduction to Number Theory  Credits: 3 (3-0-0)

Course Description: Diophantine equations; distribution of primes; multiplicative functions; finite fields; quadratic reciprocity; quadratic number fields.
Prerequisite: MATH 360 or MATH 366.
Term Offered: Spring (even years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 417  Advanced Calculus I  Credits: 3 (3-0-0)

Course Description: Topology of Euclidean spaces, limits, derivatives and integrals on Euclidean spaces. Implicit functions and the implicit function theorem.
Prerequisite: MATH 369 and MATH 317.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 418  Advanced Calculus II  Credits: 3 (3-0-0)

Course Description: Line and surface integrals, series, sequences and series of functions.
Prerequisite: MATH 417.
Term Offered: Spring (even years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 419  Introduction to Complex Variables  Credits: 3 (3-0-0)

Course Description: Analyticity, Cauchy integral theorem and formula, Taylor and Laurent series, residue calculus, conformal mapping and harmonic functions.
Prerequisite: MATH 261.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 425  History of Mathematics  Credits: 3 (3-0-0)

Course Description: Historical development of geometry, arithmetic, algebra, and calculus from ancient times to 20th century.
Prerequisite: (EDUC 331) and (MATH 317 and MATH 366 or MATH 317 and MATH 369 or MATH 366 and MATH 369).
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 430  Fourier and Wavelet Analysis with Apps  Credits: 3 (3-0-0)

Also Offered As: ECE 430.
Course Description: Fourier analysis and transforms, FFTs; sampling theorems, computational algorithms; wavelets; applications to communication, imaging, and compression.
Prerequisite: MATH 340 or MATH 345.
Registration Information: Credit not allowed for both MATH 430 and ECE 430.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 435  Projects in Applied Mathematics  Credits: 3 (1-4-0)

Course Description: Open-ended projects with emphasis on problem identification and formulation, team approach, and reporting results.
Prerequisite: (CS 156 or CS 163 or CS 164 or CS 253 or MATH 151) and (MATH 229 or MATH 369) and (MATH 340 or MATH 345).
Registration Information: Must register for lecture and laboratory.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 450  Introduction to Numerical Analysis I  Credits: 3 (3-0-0)

Course Description: Solutions of systems of linear and nonlinear equations, interpolation, approximation.
Prerequisite: (CS 156 or CS 163 or CS 164 or CS 253 or MATH 151) and (MATH 255 or MATH 261).
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 451  Introduction to Numerical Analysis II  Credits: 3 (3-0-0)

Course Description: Numerical computation of eigenvalues, numerical solution of ordinary and partial differential equations.
Prerequisite: (CS 156 or CS 163 or CS 164 or CS 253 or MATH 151) and (MATH 340 or MATH 345).
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 455  Mathematics in Biology and Medicine  Credits: 3 (3-0-0)

Course Description: Models in population biology, cell division, host-parasoid systems, bacterial growth and predator-prey systems.
Prerequisite: BZ 348 or MATH 255 or MATH 340 or MATH 345 or MATH 348.
Term Offered: Fall (odd years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 460  Information and Coding Theory  Credits: 3 (3-0-0)

Course Description: Entropy, mutual information, channel capacity, channel coding theorem, syndrome decoding, BCH codes, recent developments.
Prerequisite: MATH 360 and MATH 369 or MATH 366.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 466  Abstract Algebra I  Credits: 3 (3-0-0)

Course Description: Comprehensive introduction to groups, rings, and fields.
Prerequisite: MATH 235 or MATH 360 or MATH 366.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 467  Abstract Algebra II  Credits: 3 (3-0-0)

Course Description: Advanced topics in abstract algebra: Euclidean domains, abstract vector spaces, extension fields, Galois theory.
Prerequisite: MATH 466 and MATH 369, may be taken concurrently.
Term Offered: Spring (odd years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 469  Linear Algebra II  Credits: 3 (3-0-0)

Course Description: Abstract vector spaces, general theory of linear transformations, theory of determinants, canonical forms.
Prerequisite: MATH 369.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 470  Euclidean and Non-Euclidean Geometry  Credits: 3 (3-0-0)

Course Description: Topics from real Euclidean, affine metric and non-Euclidean geometries emphasizing methods and connections with other areas of mathematics.
Prerequisite: (MATH 229 or MATH 369) and (MATH 261).
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 472  Introduction to Topology  Credits: 3 (3-0-0)

Course Description: Topologies on sets, continuous functions, homeomorphisms. Sequences and convergence, metric spaces, connectedness, path-connectedness. Separation properties. Compactness, Countability axioms.
Prerequisite: MATH 317.
Term Offered: Fall (even years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 474  Introduction to Differential Geometry  Credits: 3 (3-0-0)

Course Description: Local and global geometry of curves and surfaces in Euclidean space, curvature, covariant differentiation, geodesics and the Gauss-Bonnet theorem.
Prerequisite: MATH 261 and MATH 369.
Term Offered: Fall (odd years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 476  Topics in Mathematics  Credits: 3 (3-0-0)

Course Description: Study experiences which deal with established content areas in mathematics.
Prerequisite: None.
Registration Information: Written consent of instructor.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 484  Supervised College Teaching  Credits: Var[1-3] (0-0-0)

Course Description:
Prerequisite: None.
Registration Information: Written consent of instructor. A maximum of 10 combined credits for all 384 and 484 courses are counted towards graduation requirements.
Terms Offered: Fall, Spring.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 487  Internship  Credits: Var[1-16] (0-0-0)

Course Description: A work-learn experience integrating classroom theory with practical experience.
Prerequisite: None.
Registration Information: Written consent of instructor.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 495  Independent Study  Credits: Var[1-18] (0-0-0)

Course Description:
Prerequisite: None.
Registration Information: Written consent of instructor.
Terms Offered: Fall, Spring. Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 498  Undergraduate Research in Mathematics  Credits: Var[1-3] (0-0-0)

Course Description: Research skills and techniques taught to suit student's level and interests. Includes both oral and written communication of results.
Prerequisite: None.
Registration Information: Written consent of instructor.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 501  Combinatorics I  Credits: 3 (3-0-0)

Course Description: Puzzles, numbers and counting, subsets, recurrence relations, generating functions, inversion, counting with symmetry, networks, matchings.
Prerequisite: (MATH 301) and (MATH 360 or MATH 366).
Registration Information: Sections may be offered: Online.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 502  Combinatorics II  Credits: 3 (3-0-0)

Course Description: Graph algorithms, external set theory; partitions, Hadamard matrices, q-binomials, finite geometries, strongly regular graphs, triple systems, designs.
Prerequisite: MATH 501.
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 505  Teaching Problem Solving in Mathematics K-12  Credits: 3 (0-0-3)

Course Description: Problem-solving strategies, cooperative learning, and manipulatives for K-12 classroom.
Prerequisite: None.
Registration Information: Offered as telecourse only. Teacher licensure required.
Terms Offered: Fall, Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 507  Advanced Reasoning in Mathematics  Credits: 3 (3-0-0)

Course Description: General proof techniques, proof in abstract algebra, proof in analysis, and proof in combinatorics.
Prerequisite: None.
Registration Information: This is a partial semester course. Sections may be offered: Online.
Term Offered: Summer.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 510  Linear Programming and Network Flows  Credits: 3 (3-0-0)

Course Description: Optimization methods; linear programming, simplex algorithm, duality, sensitivity analysis, minimal cost network flows, transportation problem.
Prerequisite: MATH 261 or MATH 315.
Registration Information: Credit not allowed for both MATH 510 and ENGR 510.
Terms Offered: Fall, Spring, Summer.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 517  Introduction to Real Analysis  Credits: 3 (3-0-0)

Course Description: Euclidean and metric spaces, compactness, continuity, sequences, series, multivariable differentiation, inverse and implicit function theorems.
Prerequisite: MATH 417 and MATH 369.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 519  Complex Variables I  Credits: 3 (3-0-0)

Course Description: Analytic functions, complex integration theory, singularities, elementary functions, and mapping.
Prerequisite: MATH 317.
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 520  Nonlinear Programming  Credits: 3 (3-0-0)

Course Description: Theoretical, computational, practical aspects of nonlinear programming (NLP); unconstrained, constrained NLP; quadratic programming; large-scale NLP.
Prerequisite: MATH 510.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 525  Optimal Control  Credits: 3 (3-0-0)

Course Description: Theory and application of optimal control and optimal estimation theory; continuous and discrete time systems; Pontryagin maximum principle.
Prerequisite: MATH 340 or MATH 345.
Term Offered: Spring (odd years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 530  Mathematics for Scientists and Engineers  Credits: 4 (4-0-0)

Course Description: Proof-oriented linear algebra, ordinary and partial differential equations.
Prerequisite: MATH 340 or MATH 345.
Registration Information: Primarily for students in the Mathematics Graduate Interdisciplinary Studies Program. Credit not allowed for both MATH 530 and MATH 332.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 532  Mathematical Modeling of Large Data Sets  Credits: 3 (3-0-0)

Course Description: Mathematical theory and algorithms for modeling large data sets. Application to real world problems. Emphasis on geometric ideas.
Prerequisite: MATH 369 or MATH 530.
Registration Information: Preparedness to do programming in a standard language required.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 535  Foundations of Applied Mathematics  Credits: 3 (3-0-0)

Course Description: Calculus of variations, peturbation methods, models of continuum, dimensional analysis, stochastic models, integral equations, diffusion.
Prerequisite: MATH 340 or MATH 345.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 540  Dynamical Systems  Credits: 3 (3-0-0)

Course Description: Linear and nonlinear systems, orbits, phase space, flows of vector fields, stability, bifurcation theory, chaos, strange attractors and applications.
Prerequisite: MATH 369 and MATH 417.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 545  Partial Differential Equations I  Credits: 3 (3-0-0)

Course Description: Second order linear PDEs, elliptic and parabolic equations, equations of math physics, separation of variables, Fourier series.
Prerequisite: MATH 340 or MATH 345 or MATH 530.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 546  Partial Differential Equations II  Credits: 3 (3-0-0)

Course Description: Distribution theory, Green's functions, Sobolev spaces, elliptic and parabolic equations.
Prerequisite: MATH 545.
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 550  Numerical Methods in Science and Engineering  Credits: 3 (3-0-0)

Also Offered As: ENGR 550.
Course Description: Finite elements, finite differences, spectral methods, method of lines, conservation laws; stability and convergence analysis for PDEs.
Prerequisite: MATH 340 or MATH 345 or MATH 530.
Registration Information: Credit not allowed for both MATH 550 and ENGR 550.
Terms Offered: Fall, Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 560  Linear Algebra  Credits: 3 (3-0-0)

Course Description: Finite dimensional vector spaces, inner products, dual spaces, transformations, projections, adjoints, norms, eigenvalues, eigenvectors.
Prerequisite: MATH 369.
Registration Information: Sections may be offered: Online.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 561  Numerical Analysis I  Credits: 4 (4-0-0)

Course Description: Numerical linear algebra, solving nonlinear systems, least squares, and minimization.
Prerequisite: (MATH 151 or CS 156 or CS 160 or CS 253) and (MATH 560).
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 566  Introduction to Abstract Algebra I  Credits: 3 (3-0-0)

Course Description: Analysis of algebraic structures including groups, rings, fields, and vector spaces.
Prerequisite: MATH 366.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 567  Introduction to Abstract Algebra II  Credits: 3 (3-0-0)

Course Description: Field theory, Galois theory, and advanced linear algebra.
Prerequisite: MATH 566.
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 569A  Linear Algebra for Data Science: Matrices and Vectors Spaces  Credit: 1 (1-0-0)

Course Description: A basic introduction to matrices and linear algebra with preparation to pursue further studies in the applications of matrices with an emphasis on the foundations of data science.
Prerequisite: MATH 124 or MATH 126.
Restriction: Must be a: Graduate.
Registration Information: Graduate students in Mathematics may not take this course for credit. Offered as an online course only.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 570  Topology I  Credits: 3 (3-0-0)

Course Description: Point-set topology including basic set theory, continuity, product and quotient spaces, metrization, compactness, and connectedness.
Prerequisite: MATH 417 or MATH 472.
Term Offered: Fall (odd years).
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 571  Topology II  Credits: 3 (3-0-0)

Course Description: Fundamental group, free groups and presentations, and manifolds.
Prerequisite: MATH 566 and MATH 570.
Term Offered: Spring (even years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 584  Supervised College Teaching  Credit: 1 (0-0-1)

Course Description:
Prerequisite: None.
Registration Information: Written consent of instructor.
Terms Offered: Fall, Spring.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 592  Seminar in Mathematics  Credit: 1 (0-0-1)

Course Description:
Prerequisite: None.
Registration Information: Written consent of instructor. Sections may be offered: Online.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 601  Advanced Combinatorics I  Credits: 3 (3-0-0)

Course Description: Special numbers, mobius inversions, transversals, partial orders, different sets, codes, t-designs.
Prerequisite: MATH 502 and MATH 566.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 602  Advanced Combinatorics II  Credits: 3 (3-0-0)

Course Description: Hypergeometric functions, graph algorithms, hadamard matrices, strongly regular graphs, association schemes.
Prerequisite: MATH 601.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 605A  Number Theory: Algebraic Number Theory  Credits: 3 (3-0-0)

Course Description:
Prerequisite: MATH 519, may be taken concurrently and MATH 566 and MATH 567, may be taken concurrently.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 605B  Number Theory: Arithmetic Geometry  Credits: 3 (3-0-0)

Course Description:
Prerequisite: MATH 519, may be taken concurrently and MATH 566 and MATH 567, may be taken concurrently.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 605C  Number Theory: Elliptic Curves  Credits: 3 (3-0-0)

Course Description:
Prerequisite: MATH 519, may be taken concurrently and MATH 566 and MATH 567, may be taken concurrently.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 617  Integration and Measure Theory  Credits: 4 (4-0-0)

Course Description: Riemann-Cauchy integration theory, sigma-algebras, Lebesgue theory of measure and integration, Fubini's Theorem, Radon-Nikodym theorem, Lp spaces.
Prerequisite: MATH 517.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 618  Advanced Real Analysis  Credits: 3 (3-0-0)

Course Description: Normed linear spaces, Banach and Hilbert spaces, elements of functional analysis.
Prerequisite: MATH 560 and MATH 617.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 619  Complex Variables II  Credits: 3 (3-0-0)

Course Description: Infinite products, entire functions, analytic continuation, Riemann surfaces, other topics.
Prerequisite: MATH 519.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 620  Variational Methods and Optimization I  Credits: 3 (3-0-0)

Course Description: Unconstrained and constrained infinite dimensional optimization, calculus of variations, applications.
Prerequisite: MATH 570 or MATH 517.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 621  Variational Methods and Optimization II  Credits: 3 (3-0-0)

Course Description: Unconstrained and constrained infinite dimensional optimization, variational inequalities, Lagrange multipliers, control, applications.
Prerequisite: MATH 620.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 633  Industrial and Applied Mathematics  Credits: 3 (2-2-0)

Course Description: Team solution of problems arising in industrial and applied mathematics. Problem formulation, solution proposal, implementation and analysis.
Prerequisite: MATH 530 or MATH 560 or MATH 561.
Restriction: Must be a: Graduate, Professional.
Registration Information: Preparedness to do programming in a standard language required. Must register for lecture and laboratory.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 640  Ordinary Differential Equations I  Credits: 3 (3-0-0)

Course Description: Existence and uniqueness, continuation, continuous dependence, linear systems, and stability.
Prerequisite: (MATH 340 or MATH 345 or MATH 530) and (MATH 369 and MATH 517).
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall (odd years).
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 641  Ordinary Differential Equations II  Credits: 3 (3-0-0)

Course Description: Topics selected from nonlinear boundary value problems, periodic phenomena, differential operators, and others.
Prerequisite: MATH 640.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring (even years).
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 645  Advanced Partial Differential Equations I  Credits: 3 (3-0-0)

Course Description: Abstract methods for linear partial differential equations.
Prerequisite: MATH 546.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall (even years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 646  Advanced Partial Differential Equations II  Credits: 3 (3-0-0)

Course Description: Problems in nonlinear partial differential equations.
Prerequisite: MATH 645.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring (odd years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 651  Numerical Analysis II  Credits: 4 (4-0-0)

Course Description: Interpolation, approximation, quadrature, initial and boundary value problems.
Prerequisite: (CS 156 or CS 160 or CS 253 or MATH 151) and (MATH 340 or MATH 345 or MATH 369 or MATH 530).
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 652  Advanced Numerical Methods for PDEs  Credits: 3 (3-0-0)

Course Description: Theory of numerical methods for solution of PDEs: convergence and stability properties; error estimation; approximation theory.
Prerequisite: MATH 545 or MATH 560 or MATH 617.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 666  Advanced Algebra I  Credits: 3 (3-0-0)

Course Description: Theory of rings and algebras with applications.
Prerequisite: MATH 567.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 667  Advanced Algebra II  Credits: 3 (3-0-0)

Course Description: Advanced topics from algebra: representation theory, Wedderburn theory, bilinear forms, multilinear and homological algebra.
Prerequisite: MATH 666.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 670  Introduction to Differential Manifolds  Credits: 3 (3-0-0)

Course Description: Finite-dimensional differential manifolds, submanifolds, vector fields and flows, Lie groups and algebras.
Prerequisite: MATH 560.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring (odd years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 672  Projective Geometry I  Credits: 3 (3-0-0)

Course Description: Algebraic sets in projective space, the Nullstellensatz, rational maps and functions, coordinate rings, Hilbert functions, dimension, degree.
Prerequisite: MATH 567.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 673  Projective Geometry II  Credits: 3 (3-0-0)

Course Description: Topics selected from curves and surfaces, sheaf theory, algebraic geometry, singularity theory, vector bundles.
Prerequisite: MATH 672.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 676  Topics in Mathematics  Credits: 3 (3-0-0)

Course Description: Advanced study experiences which deal with established content areas in mathematics.
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Registration Information: May be taken up to 5 times for credit.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 687  Internship  Credits: Var[1-9] (0-0-0)

Course Description: A work-learn experience integrating classroom theory with practical experience.
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 693  Seminar in Mathematics  Credits: 3 (0-0-3)

Course Description:
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 695  Independent Study  Credits: Var[1-18] (0-0-0)

Course Description:
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 699  Thesis  Credits: Var[1-18] (0-0-0)

Course Description:
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 717  Functional Analysis I  Credits: 3 (3-0-0)

Course Description: Topological vector spaces; Banach and Hilbert spaces.
Prerequisite: MATH 618.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall (odd years).
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 718  Functional Analysis II  Credits: 3 (3-0-0)

Course Description: Spectral theory, operator theory, semigroups of transformations, and distribution theory.
Prerequisite: MATH 717.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring (even years).
Grade Mode: Traditional.
Special Course Fee: No.

MATH 750  Numerical Methods and Models I  Credits: 3 (3-0-0)

Course Description: Derivation of model equations, introduction to solution techniques and computing.
Prerequisite: MATH 561.
Restriction: Must be a: Graduate, Professional.
Term Offered: Fall.
Grade Modes: S/U within Student Option, Trad within Student Option.
Special Course Fee: No.

MATH 751  Numerical Methods and Models II  Credits: 3 (3-0-0)

Course Description: Convergence, stability, error estimates and computing.
Prerequisite: MATH 561.
Restriction: Must be a: Graduate, Professional.
Term Offered: Spring.
Grade Mode: Traditional.
Special Course Fee: No.

MATH 793  Seminar in Mathematics  Credits: Var[1-18] (0-0-0)

Course Description:
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 798  Research  Credits: Var[1-18] (0-0-0)

Course Description:
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.

MATH 799  Dissertation  Credits: Var[1-18] (0-0-0)

Course Description:
Prerequisite: None.
Restriction: Must be a: Graduate, Professional.
Terms Offered: Fall, Spring, Summer.
Grade Mode: Instructor Option.
Special Course Fee: No.