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CTDL Course rows
| Code | Course | Credits | Description | Prerequisites | Verification |
|---|---|---|---|---|---|
| MATH 101 | Math in the Social Sciences (GT-MA1) | 3 | Voting theory, power indices, fair division, apportionment, circuits and trees, list processing, descriptive statistics, probability. | none stated | Verified |
| MATH 105 | Patterns of Phenomena | 3 | Applications of mathematical ideas and mode of thought in the arts and humanities, focusing on classification, recognition. | none stated | Verified |
| MATH 112 | Mathematics of Sustainability (GT-MA1) | 3 | The role of mathematics in global sustainability challenges of population growth, health, food and agriculture, water, and energy. Followed by a selec... | none stated | Verified |
| MATH 116 | Precalculus Supplement for Success in Math | 1 | Supplemental academic instruction developing skills to succeed in precalculus courses and future mathematics and STEM courses. | none stated | Verified |
| MATH 117 | College Algebra in Context I (GT-MA1) | 1 | Functions as mathematical models. Linear, quadratic, and polynomial functions considered symbolically, graphically, numerically, and contextually. | none stated | Verified |
| MATH 118 | College Algebra in Context II (GT-MA1) | 1 | Reciprocals of linear functions, rational functions, and power functions considered symbolically, graphically, numerically, and contextually. | MATH 117 , may be taken concurrently. | Verified |
| MATH 120 | College Algebra (GT-MA1) | 3 | Examine ideas of quantity, variable, rate of change, and formula. Develop meaningful formulas and graphs to represent the patterns (linear, quadratic,... | none stated | Verified |
| MATH 124 | Logarithmic and Exponential Functions (GT-MA1) | 1 | Definition and graphs of exponential and logarithmic functions, properties of logarithmic functions, exponential and logarithmic equations, applicatio... | MATH 118 , may be taken concurrently. | Verified |
| MATH 125 | Numerical Trigonometry (GT-MA1) | 1 | Definition and graphs of trigonometric functions, laws of sines and cosines, solutions of right and oblique triangles, applications. | MATH 118 , may be taken concurrently or MATH 120 . | Verified |
| MATH 126 | Analytic Trigonometry (GT-MA1) | 1 | Inverse trigonometric functions, trigonometric identities, solving trigonometric equations. | MATH 125 , may be taken concurrently. | Verified |
| MATH 127 | Precalculus (GT-MA1) | 4 | Examine ideas of quantity, variable, rate of change, and formula that are necessary for succeeding in and learning precalculus and calculus. Develop m... | none stated | Verified |
| MATH 141 | Calculus in Management Sciences (GT-MA1) | 3 | Analytic geometry, limits, equilibrium of supply and demand, differentiation, integration, applications of the derivative, integral. | MATH 118 or MATH 120 or MATH 127 . | Verified |
| MATH 151 | Mathematical Algorithms in Matlab I | 1 | Statements, expressions and variable assignments, scripts, control statements and logical statements. Newton's method, Simpson's rule, recursion. | MATH 141 or MATH 155 or MATH 160 . | Verified |
| MATH 152 | Mathematical Algorithms in Maple | 1 | Iteration and recursion, control and logical statements, expressions, functions, data types, binary numbers, symbolic manipulation of terms. | MATH 141 or MATH 155 or MATH 160 . | Verified |
| MATH 155 | Calculus for Biological Scientists I (GT-MA1) | 4 | Limits, continuity, differentiation, and integration of elementary functions with applications in the biosciences. | ( MATH 120 or MATH 124 ) and ( MATH 125 ). | Verified |
| MATH 156 | Mathematics for Computational Science I (GT-MA1) | 4 | Sets; relations; number systems; functions; sequences and series; concepts of differential and integral calculus as relevant to computational science. | ( MATH 120 with a minimum grade of B- or MATH 124 with a minimum grade... | Verified |
| MATH 157 | One Year Calculus IA (GT-MA1) | 3 | Algebra and trigonometry, study skills for calculus. Limits, continuity, differentiation of elementary functions with applications. | ( MATH 118 ) and ( MATH 124 , may be taken concurrently) and ( MATH 12... | Verified |
| MATH 159 | One Year Calculus IB (GT-MA1) | 3 | Study skills for calculus. Differentiation and integration of elementary functions with applications. Conic section. | MATH 124 and MATH 126 and MATH 157 . | Verified |
| MATH 160 | Calculus for Physical Scientists I (GT-MA1) | 4 | Limits, continuity, differentiation, and integration of elementary functions with applications. | ( MATH 120 with a minimum grade of B- or MATH 124 with a minimum grade... | Verified |
| MATH 161 | Calculus for Physical Scientists II (GT-MA1) | 4 | Transcendental functions, integration techniques, polar coordinates, sequences and series, with mathematical software. | ( MATH 120 or MATH 124 , may be taken concurrently) and ( MATH 159 or ... | Verified |
| MATH 192 | First Year Seminar in Mathematical Sciences | 1 | Introduction to the richness and variety of problems addressed by mathematical language and techniques; resources and available careers. | none stated | Verified |
| MATH 211 | Financial Mathematics for Actuarial Science | 3 | Preparation for the Financial Mathematics (FM) Actuarial Examination. Topics covered are exactly the material the Society of Actuaries is testing on E... | MATH 161 . | Verified |
| MATH 229 | Matrices and Linear Equations | 2 | Linear systems, matrix arithmetic, homogeneous coordinates, complex numbers, eigenvalues, eigenvectors, applications to discrete dynamical systems. | MATH 141 or MATH 155 or MATH 160 . | Verified |
| MATH 230 | Discrete Mathematics for Educators | 3 | Voting theory, fair division, graph theory, linear programming, probability, teaching in small groups, proof techniques, mathematical technology. | MATH 161 and EDUC 275 , may be taken concurrently. | Verified |
| MATH 235 | Introduction to Mathematical Reasoning | 2 | Mathematical statements and proof techniques, induction, set theory, inequalities, number systems, functions. | MATH 156 or MATH 161 or MATH 271 . | Verified |
| MATH 255 | Calculus for Biological Scientists II | 4 | Derivatives and integrals of functions of several variables, differential and difference equations, matrices, applications in the biosciences. | ( MATH 126 , may be taken concurrently or MATH 127 , may be taken conc... | Verified |
| MATH 256 | Mathematics for Computational Science II | 4 | Methods from vector calculus, advanced calculus, and analytic geometry as relevant to machine learning and data science. Optimization. | ( MATH 156 or MATH 161 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 261 | Calculus for Physical Scientists III | 4 | Vector functions, partial differentiation, cylindrical and spherical coordinates, multiple integrals, line integrals, Green's theorem. | MATH 161 . | Verified |
| MATH 269 | Geometric Introduction to Linear Algebra | 2 | A first introduction to linear algebra with a geometric rather than a computational approach. | MATH 117 or MATH 120 or MATH 127 . | Verified |
| MATH 271 | Applied Mathematics for Chemists I | 4 | Series and limits, Taylor series, complex variables, first- and second- order ordinary differential equations, matrices, linear transformations, deter... | MATH 155 or MATH 159 or MATH 160 . | Verified |
| MATH 272 | Applied Mathematics for Chemists II | 4 | Vector fields, partial differentiation, cylindrical and spherical coordinates, multiple integrals, line integrals, the Wave and the Schrödinger equati... | MATH 271 . | Verified |
| MATH 301 | Introduction to Combinatorial Theory | 3 | Counting problems; binomial coefficients; proof techniques in combinatorics; recurrence relations and generating functions; graph theory, including wa... | DSCI 369 and MATH 156 or MATH 161 . | Verified |
| MATH 317 | Advanced Calculus of One Variable | 3 | Convergence of sequences, series: limits, continuity, differentiation, integration of one-variable functions. | ( MATH 156 or MATH 161 ) and ( CS 220 or MATH 230 or MATH 235 ). | Verified |
| MATH 320 | Optimization Methods in Data Science | 3 | Linear and non-linear programming, convex sets and functions, convex and non-convex optimization problems, duality, Newton's methods, barrier methods,... | ( CS 163 or CS 164 or CS 165 or CS 220 or DSCI 235 ) and ( DSCI 369 or... | Verified |
| MATH 331 | Introduction to Mathematical Modeling | 3 | Problem formulation. Modeling, theoretical and empirical. Variable selection. Derivation and simulation of solutions. Model testing including predicti... | ( DSCI 369 , may be taken concurrently or MATH 369 , may be taken conc... | Verified |
| MATH 332 | Partial Differential Equations | 3 | Partial differential equations, separation of variables, Fourier series and transforms, Laplace, heat and wave equations. | MATH 340 or MATH 345 . | Verified |
| MATH 340 | Intro to Ordinary Differential Equations | 4 | First and second order equations, series, Laplace transforms, linear algebra, eigenvalues, first order systems of equations, numerical techniques. | MATH 255 or MATH 261 . | Verified |
| MATH 345 | Differential Equations | 4 | First and second order equations, LaPlace transforms, first order systems of equations, numerical methods, applied linear algebra, linearization. | ( MATH 255 or MATH 261 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 348 | Theory of Population and Evolutionary Ecology | 4 | Principles and methods for building, analyzing, and interpreting mathematical models of ecological and evolutionary problems in biology. | MATH 155 or MATH 160 . | Verified |
| MATH 360 | Mathematics of Information Security | 3 | Codes, ciphers, Chinese remainder theorem, primality testing, public key ciphers, RSA, finite fields, discrete algorithms, AES encryption. | ( MATH 156 or MATH 161 ) and ( CS 220 or MATH 235 ). | Verified |
| MATH 366 | Introduction to Abstract Algebra | 3 | Sets, integers, polynomials, real and complex numbers, groups, integral domains, and fields; development of skills for proving theorems. | MATH 156 or MATH 161 or MATH 271 . | Verified |
| MATH 369 | Linear Algebra I | 3 | Linear systems, matrices, subspaces of Euclidean spaces, linear transformations on Euclidean spaces, eigenvalues, eigenvectors. | MATH 156 or MATH 161 or MATH 255 or MATH 271 . | Verified |
| MATH 384 | Supervised College Teaching | 1 | Skills for effective tutoring of precalculus mathematics; design and implementation of the Individualized Mathematics Program. | none stated | Verified |
| MATH 405 | Introduction to Number Theory | 3 | Diophantine equations; distribution of primes; multiplicative functions; finite fields; quadratic reciprocity; quadratic number fields. | MATH 360 or MATH 366 . | Verified |
| MATH 411 | Stochastic Calculus and Financial Mathematics | 3 | Elements of probability theory and optimization, portfolio theory, martingales, stochastic processes, stochastic differential equations, financial der... | ( MATH 317 ) and ( DSCI 369 or MATH 332 or MATH 340 or MATH 345 or MAT... | Verified |
| MATH 417 | Advanced Calculus I | 3 | Topology of Euclidean spaces, limits, derivatives and integrals on Euclidean spaces. Implicit functions and the implicit function theorem. | ( MATH 317 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 419 | Introduction to Complex Variables | 3 | Analyticity, Cauchy integral theorem and formula, Taylor and Laurent series, residue calculus, conformal mapping and harmonic functions. | MATH 261 . | Verified |
| MATH 425 | History of Mathematics | 3 | Historical development of geometry, arithmetic, algebra, and calculus from ancient times to 20th century. | ( EDUC 331 ) and ( DSCI 369 and MATH 317 or DSCI 369 and MATH 366 or M... | Verified |
| MATH 430 | Fourier and Wavelet Analysis with Apps | 3 | Fourier analysis and transforms, FFTs; sampling theorems, computational algorithms; wavelets; applications to communication, imaging, and compression. | MATH 340 or MATH 345 . | Verified |
| MATH 435 | Projects in Applied Mathematics | 3 | Open-ended projects with emphasis on problem identification and formulation, team approach, and reporting results. | ( CS 150A or CS 150B or CS 152 or CS 163 or CS 164 or CS 165 or CS 253... | Verified |
| MATH 450 | Introduction to Numerical Analysis I | 3 | Solutions of systems of linear and nonlinear equations, interpolation, approximation. | ( CS 150A or CS 150B or CS 152 or CS 163 or CS 164 or CS 165 or CS 253... | Verified |
| MATH 451 | Introduction to Numerical Analysis II | 3 | Numerical computation of eigenvalues, numerical solution of ordinary and partial differential equations. | ( CS 150A or CS 150B or CS 152 or CS 163 or CS 164 or CS 165 or CS 253... | Verified |
| MATH 455 | Mathematics in Biology and Medicine | 3 | Models in population biology, cell division, host-parasoid systems, bacterial growth and predator-prey systems. | BZ 348 or MATH 255 or MATH 340 or MATH 345 or MATH 348 . | Verified |
| MATH 460 | Information and Coding Theory | 3 | Entropy, mutual information, channel capacity, channel coding theorem, syndrome decoding, BCH codes, recent developments. | ( MATH 360 or MATH 366 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 463 | Post-Quantum Cryptography | 3 | Exploration of secure communication in an environment where an adversary has a quantum computer. Survey of known quantum attacks on classical public k... | ( MATH 161 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 466 | Abstract Algebra I | 3 | Comprehensive introduction to groups, rings, and fields. | MATH 235 or MATH 360 or MATH 366 . | Verified |
| MATH 469 | Linear Algebra II | 3 | Abstract vector spaces, general theory of linear transformations, theory of determinants, canonical forms. | ( MATH 161 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 470 | Euclidean and Non-Euclidean Geometry | 3 | Topics from real Euclidean, affine metric and non-Euclidean geometries emphasizing methods and connections with other areas of mathematics. | ( MATH 261 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 472 | Introduction to Topology | 3 | Topologies on sets, continuous functions, homeomorphisms. Sequences and convergence, metric spaces, connectedness, path-connectedness. Separation prop... | MATH 317 . | Verified |
| MATH 474 | Introduction to Differential Geometry | 3 | Local and global geometry of curves and surfaces in Euclidean space, curvature, covariant differentiation, geodesics and the Gauss-Bonnet theorem. | ( MATH 261 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 476 | Topics in Mathematics | 3 | Study experiences which deal with established content areas in mathematics. | none stated | Verified |
| MATH 484 | Supervised College Teaching | 1 to 3 | none stated | Reviewno description in source | |
| MATH 487 | Internship | 1 to 16 | A work-learn experience integrating classroom theory with practical experience. | none stated | Verified |
| MATH 495 | Independent Study | 1 to 18 | none stated | Reviewno description in source | |
| MATH 498 | Undergraduate Research in Mathematics | 1 to 3 | none stated | Reviewno description in source | |
| MATH 501 | Combinatorics I | 3 | Fundamental concepts in combinatorics (the art of counting). Enumeration techniques such as bijections, inclusion-exclusion, binomial coefficients, an... | ( MATH 301 ) and ( MATH 360 or MATH 366 ). | Verified |
| MATH 502 | Combinatorics II | 3 | Graph algorithms, external set theory; partitions, Hadamard matrices, q-binomials, finite geometries, strongly regular graphs, triple systems, designs... | MATH 501 . | Verified |
| MATH 510 | Linear Programming and Network Flows | 3 | Optimization methods; linear programming, simplex algorithm, duality, sensitivity analysis, minimal cost network flows, transportation problem. | MATH 261 or MATH 315. | Verified |
| MATH 517 | Introduction to Real Analysis | 3 | Metric spaces, spaces of functions, sequences and convergence, completeness, compactness, contraction mappings, fixed point theorems, implicit and inv... | MATH 417 and MATH 369 . | Verified |
| MATH 519 | Complex Variables I | 3 | Analytic functions, d-bar operator. Exponential, Logarithm, and Trigonometric functions. Branch cuts and Riemann Surfaces. Power series, analytic cont... | MATH 317 . | Verified |
| MATH 520 | Nonlinear Programming | 3 | MATH 510 . | Reviewno description in source | |
| MATH 522 | Random Walks | 3 | Mathematical aspects of random walks and diffusion processes. Stochastic modeling of complex systems. | ( ECE 303 with a minimum grade of C or STAT 303 with a minimum grade o... | Verified |
| MATH 525 | Optimal Control | 3 | Theory and application of optimal control and optimal estimation theory; continuous and discrete time systems; Pontryagin maximum principle. | MATH 340 or MATH 345 . | Verified |
| MATH 530 | Mathematics for Scientists and Engineers | 3 | Proof-oriented linear algebra, ordinary and partial differential equations. | MATH 340 or MATH 345 . | Verified |
| MATH 532 | Mathematical Modeling of Large Data Sets | 3 | Mathematical theory and algorithms for modeling large data sets. Application to real world problems. Emphasis on geometric ideas. | MATH 369 or MATH 530 . | Verified |
| MATH 535 | Foundations of Applied Mathematics | 3 | Calculus of variations, peturbation methods, models of continuum, dimensional analysis, stochastic models, integral equations, diffusion. | MATH 340 or MATH 345 . | Verified |
| MATH 540 | Dynamical Systems | 3 | Linear and nonlinear systems, orbits, phase space, flows of vector fields, stability, bifurcation theory, chaos, strange attractors and applications. | MATH 369 and MATH 417 . | Verified |
| MATH 545 | Partial Differential Equations I | 3 | Second order linear partial differential equations (PDEs), elliptic, hyperbolic and parabolic equations and their derivation from physical principles,... | MATH 340 or MATH 345 or MATH 530 . | Verified |
| MATH 546 | Partial Differential Equations II | 3 | Distribution theory, Green's functions, Sobolev spaces, elliptic and parabolic equations. | MATH 545 . | Verified |
| MATH 550 | Numerical Methods in Science and Engineering | 3 | Numerical methods, including finite elements, finite differences, spectral methods, method of lines, and conservation laws; stability and convergence ... | MATH 340 or MATH 345 or MATH 530 . | Verified |
| MATH 560 | Linear Algebra | 3 | Finite dimensional vector spaces, inner products, dual spaces, transformations, projections, adjoints, norms, eigenvalues, eigenvectors. | MATH 369 . | Verified |
| MATH 561 | Numerical Analysis I | 3 | Numerical linear algebra, solving nonlinear systems, least squares, and minimization. | (CS 156 or CS 253 or MATH 151 ) and ( MATH 560 ). | Verified |
| MATH 566 | Introduction to Abstract Algebra I | 3 | Algebraic Structures: Groups, Rings; both abstract theory and investigation of relevant examples. Substructures, Quotients, Homomorphisms. Group Actio... | MATH 366 . | Verified |
| MATH 567 | Introduction to Abstract Algebra II | 3 | Field theory, Galois theory, and advanced linear algebra. | MATH 566 . | Verified |
| MATH 569A | Linear Algebra for Data Science: Matrices and Vectors Spaces | 1 | A basic introduction to matrices and linear algebra with preparation to pursue further studies in the applications of matrices with an emphasis on the... | MATH 124 and MATH 126 or MATH 127 . | Verified |
| MATH 569B | Linear Algebra for Data Science: Geometric Techniques for Data Reduction | 1 | Projections, data fitting and over-determined linear systems, eigenvectors and eigenvalues, the spectral theorem for symmetric matrices, data driven b... | DSCI 569A or MATH 569A . | Verified |
| MATH 569C | Linear Algebra for Data Science: Matrix Factorizations and Transformations | 1 | Advanced algorithms for the characterization of data using matrix factorizations and transformations. | DSCI 569B or MATH 569B . | Verified |
| MATH 569D | Linear Algebra for Data Science: Theoretical Foundations | 1 | Theoretical development of linear algebraic tools for data science; theorem and proof driven. | DSCI 569C or MATH 569C . | Verified |
| MATH 570 | Topology I | 3 | Topological spaces, continuous functions, homeomorphisms, homotopy, simplicial and CW complexes, fundamental groups, covering spaces, Van Kampen’s the... | MATH 417 or MATH 472 . | Verified |
| MATH 571 | Topology II | 3 | Fundamental group, free groups and presentations, and manifolds. | MATH 566 and MATH 570 . | Verified |
| MATH 574 | Intro to Mathematics Education Research | 3 | Synthesize mathematics education research, learn about research methods in mathematics education research, suggest areas of research most useful to ad... | none stated | Verified |
| MATH 584A | Supervised College Teaching: Incoming GTAs | 1 | Best teaching practices for graduate teaching assistants. Focus on creating a sense of community in the classroom, crafting rich tasks, fostering stud... | none stated | Verified |
| MATH 584B | Supervised College Teaching: Continuing GTAs | 1 | none stated | Reviewno description in source | |
| MATH 592A | Seminar in Mathematics: Applications of Math | 1 | Seminar focusing on how mathematics can be applied to many different fields outside of mathematics. | none stated | Verified |
| MATH 592B | Seminar in Mathematics: Math and Mathematicians in the 20th Century | 1 | Seminar focusing on the diversity of people who have contributed to modern mathematics, in historical and social context. | none stated | Verified |
| MATH 592C | Seminar in Mathematics: MS Students | 1 | none stated | Reviewno description in source | |
| MATH 601 | Advanced Combinatorics I | 3 | Special numbers, mobius inversions, transversals, partial orders, different sets, codes, t-designs. | MATH 502 and MATH 566 . | Verified |
| MATH 602 | Advanced Combinatorics II | 3 | Hypergeometric functions, graph algorithms, hadamard matrices, strongly regular graphs, association schemes. | MATH 601 . | Verified |
| MATH 605A | Number Theory: Algebraic Number Theory | 3 | MATH 519 , may be taken concurrently and MATH 566 and MATH 567 , may b... | Reviewno description in source | |
| MATH 605B | Number Theory: Arithmetic Geometry | 3 | MATH 519 , may be taken concurrently and MATH 566 and MATH 567 , may b... | Reviewno description in source | |
| MATH 605C | Number Theory: Elliptic Curves | 3 | MATH 519 , may be taken concurrently and MATH 566 and MATH 567 , may b... | Reviewno description in source | |
| MATH 617 | Integration and Measure Theory | 3 | Riemann-Cauchy integration theory, sigma-algebras, Lebesgue theory of measure and integration, Fubini's Theorem, Radon-Nikodym theorem, Lp spaces. | MATH 517 . | Verified |
| MATH 618 | Advanced Real Analysis | 3 | Normed linear spaces, Banach and Hilbert spaces, elements of functional analysis. | MATH 560 and MATH 617 . | Verified |
| MATH 619 | Complex Variables II | 3 | Infinite products, entire functions, analytic continuation, Riemann surfaces, other topics. | MATH 519 . | Verified |
| MATH 620 | Variational Methods and Optimization I | 3 | Unconstrained and constrained infinite dimensional optimization, calculus of variations, applications. | MATH 570 or MATH 517 . | Verified |
| MATH 621 | Variational Methods and Optimization II | 3 | Unconstrained and constrained infinite dimensional optimization, variational inequalities, Lagrange multipliers, control, applications. | MATH 620 . | Verified |
| MATH 633 | Industrial and Applied Mathematics | 3 | Team solution of problems arising in industrial and applied mathematics. Problem formulation, solution proposal, implementation and analysis. | MATH 530 or MATH 560 or MATH 561 . | Verified |
| MATH 640 | Ordinary Differential Equations I | 3 | Existence and uniqueness, continuation, continuous dependence, linear systems, and stability. | ( MATH 340 or MATH 345 or MATH 530 ) and ( MATH 369 and MATH 517 ). | Verified |
| MATH 641 | Ordinary Differential Equations II | 3 | Topics selected from nonlinear boundary value problems, periodic phenomena, differential operators, and others. | MATH 640 . | Verified |
| MATH 645 | Advanced Partial Differential Equations I | 3 | Abstract methods for linear partial differential equations. | MATH 546 . | Verified |
| MATH 651 | Numerical Analysis II | 3 | Interpolation, approximation, quadrature, initial and boundary value problems. | MATH 561 . | Verified |
| MATH 652 | Advanced Numerical Methods for PDEs | 3 | Theory of numerical methods for solution of PDEs: convergence and stability properties; error estimation; approximation theory. | MATH 545 or MATH 560 or MATH 617 . | Verified |
| MATH 666 | Advanced Algebra I | 3 | Theory of rings and algebras with applications. | MATH 567 . | Verified |
| MATH 667 | Advanced Algebra II | 3 | Advanced topics from algebra: representation theory, Wedderburn theory, bilinear forms, multilinear and homological algebra. | MATH 666 . | Verified |
| MATH 670 | Introduction to Differential Manifolds | 3 | Finite-dimensional differential manifolds, submanifolds, vector fields and flows, Lie groups and algebras. | MATH 560 . | Verified |
| MATH 672 | Projective Geometry I | 3 | Algebraic sets in projective space, the Nullstellensatz, rational maps and functions, coordinate rings, Hilbert functions, dimension, degree. | MATH 567 . | Verified |
| MATH 673 | Projective Geometry II | 3 | Topics selected from curves and surfaces, sheaf theory, algebraic geometry, singularity theory, vector bundles. | MATH 672 . | Verified |
| MATH 674 | Mathematics Education Theoretical Perspective | 3 | Analysis, synthesis, and re-conceptualization of theoretical perspectives that are adopted in mathematics education research. | MATH 574 . | Verified |
| MATH 675 | Topics in Mathematics Education | 3 | Contemporary topics in mathematics education research. Content will vary and may include assessment, access and equity in mathematics teaching and lea... | MATH 574 . | Verified |
| MATH 676 | Topics in Mathematics | 3 | Advanced study experiences which deal with established content areas in mathematics. | none stated | Verified |
| MATH 687 | Internship | 1 to 9 | A work-learn experience integrating classroom theory with practical experience. | none stated | Verified |
| MATH 693 | Seminar in Mathematics | 3 | none stated | Reviewno description in source | |
| MATH 695 | Independent Study | 1 to 18 | none stated | Reviewno description in source | |
| MATH 699 | Thesis | 1 to 18 | none stated | Reviewno description in source | |
| MATH 751 | Numerical Methods and Models II | 3 | Convergence, stability, error estimates and computing. | MATH 561 . | Verified |
| MATH 793 | Seminar in Mathematics | 1 to 18 | none stated | Reviewno description in source | |
| MATH 798 | Research | 1 to 18 | none stated | Reviewno description in source | |
| MATH 799 | Dissertation | 1 to 18 | none stated | Reviewno description in source | |
| MATH 101 | Math in the Social Sciences (GT-MA1) | 3 | Voting theory, power indices, fair division, apportionment, circuits and trees, list processing, descriptive statistics, probability. | none stated | Verified |
| MATH 105 | Patterns of Phenomena | 3 | Applications of mathematical ideas and mode of thought in the arts and humanities, focusing on classification, recognition. | none stated | Verified |
| MATH 112 | Mathematics of Sustainability (GT-MA1) | 3 | The role of mathematics in global sustainability challenges of population growth, health, food and agriculture, water, and energy. Followed by a selec... | none stated | Verified |
| MATH 116 | Precalculus Supplement for Success in Math | 1 | Supplemental academic instruction developing skills to succeed in precalculus courses and future mathematics and STEM courses. | none stated | Verified |
| MATH 117 | College Algebra in Context I (GT-MA1) | 1 | Functions as mathematical models. Linear, quadratic, and polynomial functions considered symbolically, graphically, numerically, and contextually. | none stated | Verified |
| MATH 118 | College Algebra in Context II (GT-MA1) | 1 | Reciprocals of linear functions, rational functions, and power functions considered symbolically, graphically, numerically, and contextually. | MATH 117 , may be taken concurrently. | Verified |
| MATH 120 | College Algebra (GT-MA1) | 3 | Examine ideas of quantity, variable, rate of change, and formula. Develop meaningful formulas and graphs to represent the patterns (linear, quadratic,... | none stated | Verified |
| MATH 124 | Logarithmic and Exponential Functions (GT-MA1) | 1 | Definition and graphs of exponential and logarithmic functions, properties of logarithmic functions, exponential and logarithmic equations, applicatio... | MATH 118 , may be taken concurrently. | Verified |
| MATH 125 | Numerical Trigonometry (GT-MA1) | 1 | Definition and graphs of trigonometric functions, laws of sines and cosines, solutions of right and oblique triangles, applications. | MATH 118 , may be taken concurrently or MATH 120 . | Verified |
| MATH 126 | Analytic Trigonometry (GT-MA1) | 1 | Inverse trigonometric functions, trigonometric identities, solving trigonometric equations. | MATH 125 , may be taken concurrently. | Verified |
| MATH 127 | Precalculus (GT-MA1) | 4 | Examine ideas of quantity, variable, rate of change, and formula that are necessary for succeeding in and learning precalculus and calculus. Develop m... | none stated | Verified |
| MATH 141 | Calculus in Management Sciences (GT-MA1) | 3 | Analytic geometry, limits, equilibrium of supply and demand, differentiation, integration, applications of the derivative, integral. | MATH 118 or MATH 120 or MATH 127 . | Verified |
| MATH 151 | Mathematical Algorithms in Matlab I | 1 | Statements, expressions and variable assignments, scripts, control statements and logical statements. Newton's method, Simpson's rule, recursion. | MATH 141 or MATH 155 or MATH 160 . | Verified |
| MATH 152 | Mathematical Algorithms in Maple | 1 | Iteration and recursion, control and logical statements, expressions, functions, data types, binary numbers, symbolic manipulation of terms. | MATH 141 or MATH 155 or MATH 160 . | Verified |
| MATH 155 | Calculus for Biological Scientists I (GT-MA1) | 4 | Limits, continuity, differentiation, and integration of elementary functions with applications in the biosciences. | ( MATH 120 or MATH 124 ) and ( MATH 125 ). | Verified |
| MATH 156 | Mathematics for Computational Science I (GT-MA1) | 4 | Sets; relations; number systems; functions; sequences and series; concepts of differential and integral calculus as relevant to computational science. | ( MATH 120 with a minimum grade of B- or MATH 124 with a minimum grade... | Verified |
| MATH 157 | One Year Calculus IA (GT-MA1) | 3 | Algebra and trigonometry, study skills for calculus. Limits, continuity, differentiation of elementary functions with applications. | ( MATH 118 ) and ( MATH 124 , may be taken concurrently) and ( MATH 12... | Verified |
| MATH 159 | One Year Calculus IB (GT-MA1) | 3 | Study skills for calculus. Differentiation and integration of elementary functions with applications. Conic section. | MATH 124 and MATH 126 and MATH 157 . | Verified |
| MATH 160 | Calculus for Physical Scientists I (GT-MA1) | 4 | Limits, continuity, differentiation, and integration of elementary functions with applications. | ( MATH 120 with a minimum grade of B- or MATH 124 with a minimum grade... | Verified |
| MATH 161 | Calculus for Physical Scientists II (GT-MA1) | 4 | Transcendental functions, integration techniques, polar coordinates, sequences and series, with mathematical software. | ( MATH 120 or MATH 124 , may be taken concurrently) and ( MATH 159 or ... | Verified |
| MATH 192 | First Year Seminar in Mathematical Sciences | 1 | Introduction to the richness and variety of problems addressed by mathematical language and techniques; resources and available careers. | none stated | Verified |
| MATH 211 | Financial Mathematics for Actuarial Science | 3 | Preparation for the Financial Mathematics (FM) Actuarial Examination. Topics covered are exactly the material the Society of Actuaries is testing on E... | MATH 161 . | Verified |
| MATH 229 | Matrices and Linear Equations | 2 | Linear systems, matrix arithmetic, homogeneous coordinates, complex numbers, eigenvalues, eigenvectors, applications to discrete dynamical systems. | MATH 141 or MATH 155 or MATH 160 . | Verified |
| MATH 230 | Discrete Mathematics for Educators | 3 | Voting theory, fair division, graph theory, linear programming, probability, teaching in small groups, proof techniques, mathematical technology. | MATH 161 and EDUC 275 , may be taken concurrently. | Verified |
| MATH 235 | Introduction to Mathematical Reasoning | 2 | Mathematical statements and proof techniques, induction, set theory, inequalities, number systems, functions. | MATH 156 or MATH 161 or MATH 271 . | Verified |
| MATH 255 | Calculus for Biological Scientists II | 4 | Derivatives and integrals of functions of several variables, differential and difference equations, matrices, applications in the biosciences. | ( MATH 126 , may be taken concurrently or MATH 127 , may be taken conc... | Verified |
| MATH 256 | Mathematics for Computational Science II | 4 | Methods from vector calculus, advanced calculus, and analytic geometry as relevant to machine learning and data science. Optimization. | ( MATH 156 or MATH 161 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 261 | Calculus for Physical Scientists III | 4 | Vector functions, partial differentiation, cylindrical and spherical coordinates, multiple integrals, line integrals, Green's theorem. | MATH 161 . | Verified |
| MATH 269 | Geometric Introduction to Linear Algebra | 2 | A first introduction to linear algebra with a geometric rather than a computational approach. | MATH 117 or MATH 120 or MATH 127 . | Verified |
| MATH 271 | Applied Mathematics for Chemists I | 4 | Series and limits, Taylor series, complex variables, first- and second- order ordinary differential equations, matrices, linear transformations, deter... | MATH 155 or MATH 159 or MATH 160 . | Verified |
| MATH 272 | Applied Mathematics for Chemists II | 4 | Vector fields, partial differentiation, cylindrical and spherical coordinates, multiple integrals, line integrals, the Wave and the Schrödinger equati... | MATH 271 . | Verified |
| MATH 301 | Introduction to Combinatorial Theory | 3 | Counting problems; binomial coefficients; proof techniques in combinatorics; recurrence relations and generating functions; graph theory, including wa... | DSCI 369 and MATH 156 or MATH 161 . | Verified |
| MATH 317 | Advanced Calculus of One Variable | 3 | Convergence of sequences, series: limits, continuity, differentiation, integration of one-variable functions. | ( MATH 156 or MATH 161 ) and ( CS 220 or MATH 230 or MATH 235 ). | Verified |
| MATH 320 | Optimization Methods in Data Science | 3 | Linear and non-linear programming, convex sets and functions, convex and non-convex optimization problems, duality, Newton's methods, barrier methods,... | ( CS 163 or CS 164 or CS 165 or CS 220 or DSCI 235 ) and ( DSCI 369 or... | Verified |
| MATH 331 | Introduction to Mathematical Modeling | 3 | Problem formulation. Modeling, theoretical and empirical. Variable selection. Derivation and simulation of solutions. Model testing including predicti... | ( DSCI 369 , may be taken concurrently or MATH 369 , may be taken conc... | Verified |
| MATH 332 | Partial Differential Equations | 3 | Partial differential equations, separation of variables, Fourier series and transforms, Laplace, heat and wave equations. | MATH 340 or MATH 345 . | Verified |
| MATH 340 | Intro to Ordinary Differential Equations | 4 | First and second order equations, series, Laplace transforms, linear algebra, eigenvalues, first order systems of equations, numerical techniques. | MATH 255 or MATH 261 . | Verified |
| MATH 345 | Differential Equations | 4 | First and second order equations, LaPlace transforms, first order systems of equations, numerical methods, applied linear algebra, linearization. | ( MATH 255 or MATH 261 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 348 | Theory of Population and Evolutionary Ecology | 4 | Principles and methods for building, analyzing, and interpreting mathematical models of ecological and evolutionary problems in biology. | MATH 155 or MATH 160 . | Verified |
| MATH 360 | Mathematics of Information Security | 3 | Codes, ciphers, Chinese remainder theorem, primality testing, public key ciphers, RSA, finite fields, discrete algorithms, AES encryption. | ( MATH 156 or MATH 161 ) and ( CS 220 or MATH 235 ). | Verified |
| MATH 366 | Introduction to Abstract Algebra | 3 | Sets, integers, polynomials, real and complex numbers, groups, integral domains, and fields; development of skills for proving theorems. | MATH 156 or MATH 161 or MATH 271 . | Verified |
| MATH 369 | Linear Algebra I | 3 | Linear systems, matrices, subspaces of Euclidean spaces, linear transformations on Euclidean spaces, eigenvalues, eigenvectors. | MATH 156 or MATH 161 or MATH 255 or MATH 271 . | Verified |
| MATH 384 | Supervised College Teaching | 1 | Skills for effective tutoring of precalculus mathematics; design and implementation of the Individualized Mathematics Program. | none stated | Verified |
| MATH 405 | Introduction to Number Theory | 3 | Diophantine equations; distribution of primes; multiplicative functions; finite fields; quadratic reciprocity; quadratic number fields. | MATH 360 or MATH 366 . | Verified |
| MATH 411 | Stochastic Calculus and Financial Mathematics | 3 | Elements of probability theory and optimization, portfolio theory, martingales, stochastic processes, stochastic differential equations, financial der... | ( MATH 317 ) and ( DSCI 369 or MATH 332 or MATH 340 or MATH 345 or MAT... | Verified |
| MATH 417 | Advanced Calculus I | 3 | Topology of Euclidean spaces, limits, derivatives and integrals on Euclidean spaces. Implicit functions and the implicit function theorem. | ( MATH 317 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 419 | Introduction to Complex Variables | 3 | Analyticity, Cauchy integral theorem and formula, Taylor and Laurent series, residue calculus, conformal mapping and harmonic functions. | MATH 261 . | Verified |
| MATH 425 | History of Mathematics | 3 | Historical development of geometry, arithmetic, algebra, and calculus from ancient times to 20th century. | ( EDUC 331 ) and ( DSCI 369 and MATH 317 or DSCI 369 and MATH 366 or M... | Verified |
| MATH 430 | Fourier and Wavelet Analysis with Apps | 3 | Fourier analysis and transforms, FFTs; sampling theorems, computational algorithms; wavelets; applications to communication, imaging, and compression. | MATH 340 or MATH 345 . | Verified |
| MATH 435 | Projects in Applied Mathematics | 3 | Open-ended projects with emphasis on problem identification and formulation, team approach, and reporting results. | ( CS 150A or CS 150B or CS 152 or CS 163 or CS 164 or CS 165 or CS 253... | Verified |
| MATH 450 | Introduction to Numerical Analysis I | 3 | Solutions of systems of linear and nonlinear equations, interpolation, approximation. | ( CS 150A or CS 150B or CS 152 or CS 163 or CS 164 or CS 165 or CS 253... | Verified |
| MATH 451 | Introduction to Numerical Analysis II | 3 | Numerical computation of eigenvalues, numerical solution of ordinary and partial differential equations. | ( CS 150A or CS 150B or CS 152 or CS 163 or CS 164 or CS 165 or CS 253... | Verified |
| MATH 455 | Mathematics in Biology and Medicine | 3 | Models in population biology, cell division, host-parasoid systems, bacterial growth and predator-prey systems. | BZ 348 or MATH 255 or MATH 340 or MATH 345 or MATH 348 . | Verified |
| MATH 460 | Information and Coding Theory | 3 | Entropy, mutual information, channel capacity, channel coding theorem, syndrome decoding, BCH codes, recent developments. | ( MATH 360 or MATH 366 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 463 | Post-Quantum Cryptography | 3 | Exploration of secure communication in an environment where an adversary has a quantum computer. Survey of known quantum attacks on classical public k... | ( MATH 161 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 466 | Abstract Algebra I | 3 | Comprehensive introduction to groups, rings, and fields. | MATH 235 or MATH 360 or MATH 366 . | Verified |
| MATH 469 | Linear Algebra II | 3 | Abstract vector spaces, general theory of linear transformations, theory of determinants, canonical forms. | ( MATH 161 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 470 | Euclidean and Non-Euclidean Geometry | 3 | Topics from real Euclidean, affine metric and non-Euclidean geometries emphasizing methods and connections with other areas of mathematics. | ( MATH 261 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 472 | Introduction to Topology | 3 | Topologies on sets, continuous functions, homeomorphisms. Sequences and convergence, metric spaces, connectedness, path-connectedness. Separation prop... | MATH 317 . | Verified |
| MATH 474 | Introduction to Differential Geometry | 3 | Local and global geometry of curves and surfaces in Euclidean space, curvature, covariant differentiation, geodesics and the Gauss-Bonnet theorem. | ( MATH 261 ) and ( DSCI 369 or MATH 369 ). | Verified |
| MATH 476 | Topics in Mathematics | 3 | Study experiences which deal with established content areas in mathematics. | none stated | Verified |
| MATH 484 | Supervised College Teaching | 1 to 3 | none stated | Reviewno description in source | |
| MATH 487 | Internship | 1 to 16 | A work-learn experience integrating classroom theory with practical experience. | none stated | Verified |
| MATH 495 | Independent Study | 1 to 18 | none stated | Reviewno description in source | |
| MATH 498 | Undergraduate Research in Mathematics | 1 to 3 | none stated | Reviewno description in source | |
| MATH 501 | Combinatorics I | 3 | Fundamental concepts in combinatorics (the art of counting). Enumeration techniques such as bijections, inclusion-exclusion, binomial coefficients, an... | ( MATH 301 ) and ( MATH 360 or MATH 366 ). | Verified |
| MATH 502 | Combinatorics II | 3 | Graph algorithms, external set theory; partitions, Hadamard matrices, q-binomials, finite geometries, strongly regular graphs, triple systems, designs... | MATH 501 . | Verified |
| MATH 510 | Linear Programming and Network Flows | 3 | Optimization methods; linear programming, simplex algorithm, duality, sensitivity analysis, minimal cost network flows, transportation problem. | MATH 261 or MATH 315. | Verified |
| MATH 517 | Introduction to Real Analysis | 3 | Metric spaces, spaces of functions, sequences and convergence, completeness, compactness, contraction mappings, fixed point theorems, implicit and inv... | MATH 417 and MATH 369 . | Verified |
| MATH 519 | Complex Variables I | 3 | Analytic functions, d-bar operator. Exponential, Logarithm, and Trigonometric functions. Branch cuts and Riemann Surfaces. Power series, analytic cont... | MATH 317 . | Verified |
| MATH 520 | Nonlinear Programming | 3 | MATH 510 . | Reviewno description in source | |
| MATH 522 | Random Walks | 3 | Mathematical aspects of random walks and diffusion processes. Stochastic modeling of complex systems. | ( ECE 303 with a minimum grade of C or STAT 303 with a minimum grade o... | Verified |
| MATH 525 | Optimal Control | 3 | Theory and application of optimal control and optimal estimation theory; continuous and discrete time systems; Pontryagin maximum principle. | MATH 340 or MATH 345 . | Verified |
| MATH 530 | Mathematics for Scientists and Engineers | 3 | Proof-oriented linear algebra, ordinary and partial differential equations. | MATH 340 or MATH 345 . | Verified |
| MATH 532 | Mathematical Modeling of Large Data Sets | 3 | Mathematical theory and algorithms for modeling large data sets. Application to real world problems. Emphasis on geometric ideas. | MATH 369 or MATH 530 . | Verified |
| MATH 535 | Foundations of Applied Mathematics | 3 | Calculus of variations, peturbation methods, models of continuum, dimensional analysis, stochastic models, integral equations, diffusion. | MATH 340 or MATH 345 . | Verified |
| MATH 540 | Dynamical Systems | 3 | Linear and nonlinear systems, orbits, phase space, flows of vector fields, stability, bifurcation theory, chaos, strange attractors and applications. | MATH 369 and MATH 417 . | Verified |
| MATH 545 | Partial Differential Equations I | 3 | Second order linear partial differential equations (PDEs), elliptic, hyperbolic and parabolic equations and their derivation from physical principles,... | MATH 340 or MATH 345 or MATH 530 . | Verified |
| MATH 546 | Partial Differential Equations II | 3 | Distribution theory, Green's functions, Sobolev spaces, elliptic and parabolic equations. | MATH 545 . | Verified |
| MATH 550 | Numerical Methods in Science and Engineering | 3 | Numerical methods, including finite elements, finite differences, spectral methods, method of lines, and conservation laws; stability and convergence ... | MATH 340 or MATH 345 or MATH 530 . | Verified |
| MATH 560 | Linear Algebra | 3 | Finite dimensional vector spaces, inner products, dual spaces, transformations, projections, adjoints, norms, eigenvalues, eigenvectors. | MATH 369 . | Verified |
| MATH 561 | Numerical Analysis I | 3 | Numerical linear algebra, solving nonlinear systems, least squares, and minimization. | (CS 156 or CS 253 or MATH 151 ) and ( MATH 560 ). | Verified |
| MATH 566 | Introduction to Abstract Algebra I | 3 | Algebraic Structures: Groups, Rings; both abstract theory and investigation of relevant examples. Substructures, Quotients, Homomorphisms. Group Actio... | MATH 366 . | Verified |
| MATH 567 | Introduction to Abstract Algebra II | 3 | Field theory, Galois theory, and advanced linear algebra. | MATH 566 . | Verified |
| MATH 569A | Linear Algebra for Data Science: Matrices and Vectors Spaces | 1 | A basic introduction to matrices and linear algebra with preparation to pursue further studies in the applications of matrices with an emphasis on the... | MATH 124 and MATH 126 or MATH 127 . | Verified |
| MATH 569B | Linear Algebra for Data Science: Geometric Techniques for Data Reduction | 1 | Projections, data fitting and over-determined linear systems, eigenvectors and eigenvalues, the spectral theorem for symmetric matrices, data driven b... | DSCI 569A or MATH 569A . | Verified |
| MATH 569C | Linear Algebra for Data Science: Matrix Factorizations and Transformations | 1 | Advanced algorithms for the characterization of data using matrix factorizations and transformations. | DSCI 569B or MATH 569B . | Verified |
| MATH 569D | Linear Algebra for Data Science: Theoretical Foundations | 1 | Theoretical development of linear algebraic tools for data science; theorem and proof driven. | DSCI 569C or MATH 569C . | Verified |
| MATH 570 | Topology I | 3 | Topological spaces, continuous functions, homeomorphisms, homotopy, simplicial and CW complexes, fundamental groups, covering spaces, Van Kampen’s the... | MATH 417 or MATH 472 . | Verified |
| MATH 571 | Topology II | 3 | Fundamental group, free groups and presentations, and manifolds. | MATH 566 and MATH 570 . | Verified |
| MATH 574 | Intro to Mathematics Education Research | 3 | Synthesize mathematics education research, learn about research methods in mathematics education research, suggest areas of research most useful to ad... | none stated | Verified |
| MATH 584A | Supervised College Teaching: Incoming GTAs | 1 | Best teaching practices for graduate teaching assistants. Focus on creating a sense of community in the classroom, crafting rich tasks, fostering stud... | none stated | Verified |
| MATH 584B | Supervised College Teaching: Continuing GTAs | 1 | none stated | Reviewno description in source | |
| MATH 592A | Seminar in Mathematics: Applications of Math | 1 | Seminar focusing on how mathematics can be applied to many different fields outside of mathematics. | none stated | Verified |
| MATH 592B | Seminar in Mathematics: Math and Mathematicians in the 20th Century | 1 | Seminar focusing on the diversity of people who have contributed to modern mathematics, in historical and social context. | none stated | Verified |
| MATH 592C | Seminar in Mathematics: MS Students | 1 | none stated | Reviewno description in source | |
| MATH 601 | Advanced Combinatorics I | 3 | Special numbers, mobius inversions, transversals, partial orders, different sets, codes, t-designs. | MATH 502 and MATH 566 . | Verified |
| MATH 602 | Advanced Combinatorics II | 3 | Hypergeometric functions, graph algorithms, hadamard matrices, strongly regular graphs, association schemes. | MATH 601 . | Verified |
| MATH 605A | Number Theory: Algebraic Number Theory | 3 | MATH 519 , may be taken concurrently and MATH 566 and MATH 567 , may b... | Reviewno description in source | |
| MATH 605B | Number Theory: Arithmetic Geometry | 3 | MATH 519 , may be taken concurrently and MATH 566 and MATH 567 , may b... | Reviewno description in source | |
| MATH 605C | Number Theory: Elliptic Curves | 3 | MATH 519 , may be taken concurrently and MATH 566 and MATH 567 , may b... | Reviewno description in source | |
| MATH 617 | Integration and Measure Theory | 3 | Riemann-Cauchy integration theory, sigma-algebras, Lebesgue theory of measure and integration, Fubini's Theorem, Radon-Nikodym theorem, Lp spaces. | MATH 517 . | Verified |
| MATH 618 | Advanced Real Analysis | 3 | Normed linear spaces, Banach and Hilbert spaces, elements of functional analysis. | MATH 560 and MATH 617 . | Verified |
| MATH 619 | Complex Variables II | 3 | Infinite products, entire functions, analytic continuation, Riemann surfaces, other topics. | MATH 519 . | Verified |
| MATH 620 | Variational Methods and Optimization I | 3 | Unconstrained and constrained infinite dimensional optimization, calculus of variations, applications. | MATH 570 or MATH 517 . | Verified |
| MATH 621 | Variational Methods and Optimization II | 3 | Unconstrained and constrained infinite dimensional optimization, variational inequalities, Lagrange multipliers, control, applications. | MATH 620 . | Verified |
| MATH 633 | Industrial and Applied Mathematics | 3 | Team solution of problems arising in industrial and applied mathematics. Problem formulation, solution proposal, implementation and analysis. | MATH 530 or MATH 560 or MATH 561 . | Verified |
| MATH 640 | Ordinary Differential Equations I | 3 | Existence and uniqueness, continuation, continuous dependence, linear systems, and stability. | ( MATH 340 or MATH 345 or MATH 530 ) and ( MATH 369 and MATH 517 ). | Verified |
| MATH 641 | Ordinary Differential Equations II | 3 | Topics selected from nonlinear boundary value problems, periodic phenomena, differential operators, and others. | MATH 640 . | Verified |
| MATH 645 | Advanced Partial Differential Equations I | 3 | Abstract methods for linear partial differential equations. | MATH 546 . | Verified |
| MATH 651 | Numerical Analysis II | 3 | Interpolation, approximation, quadrature, initial and boundary value problems. | MATH 561 . | Verified |
| MATH 652 | Advanced Numerical Methods for PDEs | 3 | Theory of numerical methods for solution of PDEs: convergence and stability properties; error estimation; approximation theory. | MATH 545 or MATH 560 or MATH 617 . | Verified |
| MATH 666 | Advanced Algebra I | 3 | Theory of rings and algebras with applications. | MATH 567 . | Verified |
| MATH 667 | Advanced Algebra II | 3 | Advanced topics from algebra: representation theory, Wedderburn theory, bilinear forms, multilinear and homological algebra. | MATH 666 . | Verified |
| MATH 670 | Introduction to Differential Manifolds | 3 | Finite-dimensional differential manifolds, submanifolds, vector fields and flows, Lie groups and algebras. | MATH 560 . | Verified |
| MATH 672 | Projective Geometry I | 3 | Algebraic sets in projective space, the Nullstellensatz, rational maps and functions, coordinate rings, Hilbert functions, dimension, degree. | MATH 567 . | Verified |
| MATH 673 | Projective Geometry II | 3 | Topics selected from curves and surfaces, sheaf theory, algebraic geometry, singularity theory, vector bundles. | MATH 672 . | Verified |
| MATH 674 | Mathematics Education Theoretical Perspective | 3 | Analysis, synthesis, and re-conceptualization of theoretical perspectives that are adopted in mathematics education research. | MATH 574 . | Verified |
| MATH 675 | Topics in Mathematics Education | 3 | Contemporary topics in mathematics education research. Content will vary and may include assessment, access and equity in mathematics teaching and lea... | MATH 574 . | Verified |
| MATH 676 | Topics in Mathematics | 3 | Advanced study experiences which deal with established content areas in mathematics. | none stated | Verified |
| MATH 687 | Internship | 1 to 9 | A work-learn experience integrating classroom theory with practical experience. | none stated | Verified |
| MATH 693 | Seminar in Mathematics | 3 | none stated | Reviewno description in source | |
| MATH 695 | Independent Study | 1 to 18 | none stated | Reviewno description in source | |
| MATH 699 | Thesis | 1 to 18 | none stated | Reviewno description in source | |
| MATH 751 | Numerical Methods and Models II | 3 | Convergence, stability, error estimates and computing. | MATH 561 . | Verified |
| MATH 793 | Seminar in Mathematics | 1 to 18 | none stated | Reviewno description in source | |
| MATH 798 | Research | 1 to 18 | none stated | Reviewno description in source | |
| MATH 799 | Dissertation | 1 to 18 | none stated | Reviewno description in source |