099: Preparation for College Mathematics. 0-4-4. Required if Mathematics ACT score is less than 18, or Mathematics SAT is less than 430, unless a passing score is achieved on Placement Exam A. Real numbers; exponents; polynomials and factoring; algebraic fractions; linear equations and inequalities; quadratic equations; graphing; radicals. (Pass/Fail)

100: College Algebra. 0-5-5. Preq., Mathematics ACT score between 18 and 21 inclusive, or Mathematics SAT score between 430 and 510 inclusive, or Placement by Exam, or MATH 099. This course covers the same material as MATH 101 with supplementary material including rational exponents, integer exponents, multiplying polynomials, factoring, rational expressions. Credit will not be given for both MATH 100 and MATH 101.

101: College Algebra. 0-3-3. Preq., Mathematics ACT score is greater than or equal to 22, or Mathematics SAT score is greater than or equal to 520. Radical expressions; rational exponents; complex numbers; quadratic, absolute value, rational equations; systems of linear equations; inequalities; functions; conics; graphs; inverse, exponential, logarithmic functions; applications. Credit will not be given for both MATH 100 and MATH 101.

111: Precalculus Algebra. 0-3-3. Preq., Mathematics ACT score is greater than or equal to 26, or Placement by Exam, or MATH 100 or 101. Precalculus functions, graphs; miscellaneous equations, inequalities; polynomial functions; conic sections; exponential, logarithmic equations; systems of equations; matrices; determinants; sequences; series. Credit will not be given for MATH 111 if credit is given for MATH 240 or 241.

112: Trigonometry. 0-3-3. Preq., Mathematics ACT score is greater than or equal to 26, or Mathematics SAT score is greater than or equal to 590, or Placement by Exam, or MATH 100 or 101. Solution of right triangles, reduction formulas, functions of multiple angles, trigonometric equations, inverse functions, and complex numbers. Credit will not be given for MATH 112 if credit is given for MATH 212 or 241.

113: Plane Geometry. 0-3-3. Preq., MATH 111. A course in plane Euclidean geometry for a student who is planning to teach high school geometry.

114: Survey of Mathematics. 0-3-3. Preq., Mathematics ACT score is greater than or equal to 26, or Mathematics SAT score is greater than or equal to 590, or Placement by Exam, or MATH 100 or 101. Logic, counting principles, probability and statistics, systems of equations, geometry, mathematics of finance, nature of graphs. For liberal arts degree programs.

125: Algebra for Management and Social Sciences. 0-3-3. Preq., Mathematics ACT score is greater than or equal to 26, or Mathematics SAT score is greater than or equal to 590, or Placement by Exam, or MATH 100 or 101. Linear and quadratic equations and functions, graphs, matrices, systems of linear equations, mathematics of finance, sets, probability and statistics, exponential and logarithmic functions.

203: Introduction to Number Structure. 0-3-3. Preq., Mathematics ACT score is greater than or equal to 26, or Mathematics SAT score is greater than or equal to 590, or Placement by Exam, or MATH 100 or 101. Developing number sense and concepts underlying computation, estimation, pattern recognition, and function definition. Studying number relationships, systems, and theory. Applying algebraic concepts to solve problems.

204: Conceptual Geometry and Quantitative Analysis. 0-3-3. Preq., MATH 203. Studying the geometry of one, two, and three dimensions and applications to problems in the physical world. Exploring probability and statistics in real-world situations.

212: Applied Technical Mathematics with Calculus. 0-3-3. Preq., Mathematics ACT score is greater than or equal to 26, or Mathematics SAT score is greater than or equal to 590, or Placement by Exam, or MATH 100 or 101. Applied trigonometry, vectors, basic applied differential calculus. Credit will not be given for MATH 212 if credit is given for MATH 112.

220: Applied Calculus. 0-3-3. Preq., MATH 111 and MATH 112 or Placement by Exam. Functions and graphs, the derivative, applications of derivatives, indefinite integrals, application of definite integrals. Credit will not be given for MATH 220 if credit is given for MATH 222 or 230 or 240 or 241 or 242.

222: Calculus for Business Administration and Economics. 0-3-3. Preq., MATH 111 or MATH 125 or Placement by Exam. Functions and graphs, the derivative, the indefinite integral and the definite integral; applications as applied to business and economics. Credit will not be given for MATH 222 if credit is given for MATH 220 or 230 or 240 or 241 or 242.

223: Applied Calculus for Electrical Technology. 0-3-3. Preq., MATH 220. Applications of calculus and differential equations to electrical technology; includes integration techniques, series, differential equations, and transforms.

230: Analytic Geometry and Calculus I. 0-3-3. Preq., MATH 111 and 112 or Placement by Exam. Introduction to analytic geometry, differentiation of algebraic and trigonometric functions, applications of the derivatives, and the antidifferentiation of algebraic and trigonometric functions. Credit will not be given for MATH 230 if credit is given for MATH 220 or 222 or 240 or 241.

231: Analytic Geometry and Calculus II. 0-3-3. Preq., MATH 230. Applications of integration, analytic geometry, exponential and logarithmic functions, trigonometric functions, and techniques of integration. Credit will not be given for MATH 231 if credit is given for MATH 220 or 222 or 242.

232: Analytic Geometry and Calculus III. 0-3-3. Preq., MATH 231. Analytic geometry of conics, indeterminant forms, improper integrals, polar coordinates, infinite series, Taylor's formula. Credit will not be given for MATH 232 if credit is given for MATH 243.

233: Multidimensional Calculus. 0-3-3. Preq., MATH 232. Solid analytic geometry, vector-valued functions, partial differentiation, multiple integrals, topics in vector calculus. Credit will not be given for MATH 233 if credit is given for MATH 244.

240: Engineering Mathematics I. 3-2-3. Preq., Mathematics ACT score is greater than or equal to 26, or Mathematics SAT score is greater than or equal to 590, or Placement by Exam, or MATH 100 or 101. Coreq., ENGR 120 and CHEM 100. Functions, graphs, polynomial functions; exponential and logarithmic functions and equations; introduction to analytic geometry; limits; derivatives; continuity; and some application of differentiation. Credit will not be given for MATH 240 if credit is given for MATH 111 or 220 or 222 or 230.

241: Engineering Mathematics II. 0-3-3. Preq., MATH 240. Coreq., ENGR 121 and CHEM 101. Differentiation rules; trigonometric reduction formulas, functions, graphs, inverse functions, equations; derivatives of algebraic, exponential, logarithmic, and trigonometric functions; some application of differentiation. . Credit will not be given for MATH 241 if credit is given for MATH 111 or 112 or 220 or 222 or 230.

242: Engineering Mathematics III. 0-3-3. Preq., MATH 241. Coreq., ENGR 122 and PHYS 201. Applications of differentiation; analytic geometry; antidifferentiation; techniques of integration; and selected topics. Credit will not be given for MATH 242 if credit is given for MATH 220 or 222 or 231.

243: Engineering Mathematics IV. 0-3-3. Preq., MATH 242. Coreq., ENGR 220 and MEMT 201. Improper integrals, single variable continuous statistics, vectors, three-dimensional coordinates, differentiation of functions of several variables, introduction to multivariate integration. Credit will not be given for MATH 243 if credit is given for MATH 232.

244: Engineering Mathematics V. 0-3-3. Preq., MATH 243. Coreq., ENGR 221. Multivariable statistics, multiple integrals, space curves, vector calculus, Green’s and Stokes’ Theorem, infinite sequences and series, discrete statistics. Credit will not be given for MATH 244 if credit is given for MATH 233.

245: Engineering Mathematics VI. 0-3-3. Preq., MATH 244. Coreq., ENGR 222. Power series, Taylor series, use of series to solve differential equations, LaPlace transforms, systems of ordinary differential equations. Credit will not be given for MATH 245 if credit is given for MATH 350.

307: Fundamentals of Mathematics. 0-3-3. Preq., MATH 232. Sets, relations, functions, equations, inequalities, proofs, development of the integers and rational numbers, evaluation of experimental programs in mathematics.

308: Introduction to Linear Algebra. 0-3-3. Preq., MATH 233. Matrices, systems of linear equations, vectors, vector spaces, linear transformations, eigenvalues and eigenvectors.

311: Discrete Mathematics I. 0-3-3. Preq., MATH 232. Logic, sets, functions, finite and infinite sets, permutations and combinations.

312: Discrete Mathematics II. 0-3-3. Preq., MATH 311. Binomial and Multinomial Theorems, principle of inclusion-exclusion, recurrence relations, directed graphs, network flows, and selected topics.

313: Introductory Numerical Analysis. 0-3-3. Preq. MATH 232 and knowledge of FORTRAN. Introduction to numerical techniques in finding roots of equations, solving systems of equations, approximating functions, derivatives and integrals.

318: Introduction to Abstract Algebra. 0-3-3. Preq., MATH 307. Fundamental set concepts, groups, rings, integral domains, fields, polynomials.

340: Introduction to Real Analysis. 0-3-3. Preq., MATH 233; 311 or 307. A rigorous introduction to the calculus of functions of one real variable.

350: Ordinary Differential Equations. 0-3-3. Preq., MATH 233 or equivalent. Equations of first order, applications to geometry and physics, homogeneous and nonhomogeneous linear equations of higher order, mechanical vibrations, power series solutions, Laplace transforms. Credit will not be given for MATH 350 if credit is given for MATH 245.

401: College Geometry. 0-3-3. Preq., MATH 113 or equivalent, MATH 232; or consent of instructor. Logical systems and basic laws of reasoning, axiomatic geometry, geometric transformations, selected Euclidean geometry, non-Euclidean and projective geometries. (G)

405: Linear Algebra. 0-3-3. Preq., MATH 308 or consent of instructor. Study of linear systems, matrices, and algebra of matrices, determinants, vector spaces and subspaces, linear transformations and representations by matrices. (G)

407: Partial Differential Equations. 0-3-3. Preq., MATH 350. Solution of linear first order equations. Formation and solution of second order problems of parabolic, elliptic, and hyperbolic type. (G)

410: Advanced Engineering Mathematics. 0-3-3. Preq., MATH 233 and 350. Mechanical systems and electrical circuits, Fourier series, Laplace transforms, partial differential equations. (G)

411: Advanced Engineering Mathematics. 0-3-3. Preq., MATH 233. Vectors spaces and linear transformations, applications of matrices, vector analysis, calculus of variations. (G)

412: Vector and Tensor Analysis. 0-3-3. Preq., MATH 411 or consent of instructor. The algebra of vectors, differential vector calculus, differential geometry, integration, static and dynamic electricity, mechanics, hydrodynamics, and electricity, tensor analysis and Riemann geometry, further applications of tensor analysis. (G)

413: Foundations and Fundamental Concepts. 0-3-3. Preq., MATH 231 or consent of instructor. Mathematics before Euclid, Euclid's "elements," non-Euclidean geometry, Hillbert's "Grundlagen," algebraic structure, the modern mathematical method, sets, logic and philosophy. (G)

414: Numerical Analysis. 0-3-3. Preq., MATH 308, Knowledge of FORTRAN, or consent of instructor. Roots of polynomial and other nonlinear equations. Solutions of systems of simultaneous equations. Numerical applications of matrix theory and linear algebra. Interpolating polynomials. (G)

415: Numerical Analysis. 0-3-3. Preq., MATH 350, 414, or consent of instructor. Curve fitting techniques. Function approximation techniques. Numerical differentiation. Numerical integration. Numerical solution of differential equations and systems of differential equations and boundary value problems. (G)

416: Abstract Algebra. 0-3-3. Preq., MATH 318 or consent of instructor. Number theory, equivalences, and congruences, groups, ideals. (G)

430: Projective Geometry. 0-3-3. Preq., MATH 233, 308, or consent of instructor. Ideal elements, duality, harmonic sets, projectivity, projective theory of conics, theory of poles and polars. (G)

440: Linear Programming. 0-3-3. Preq., MATH 230 and 308 or consent of instructor. Characteristics of linear programming problems, properties of linear programming solutions, the simplex method with variations, optimality analysis, the dual problem, the transportation problem. (G)

441: Non-linear Programming. 0-3-3. Preq., MATH 440. Advanced topics in linear programming, quadratic programming, dynamic programming. (G)

445: Theory of Functions of Complex Variables. 0-3-3. Preq., MATH 233. Complex numbers, analytic functions, elementary functions, mapping elementary functions, integrals, power series, residues, poles, conformal mappings, applications of conformal mappings. (G)

450: Ordinary Differential Equations. 0-3-3. Preq., MATH 340 and 350 or consent. First-order equations, second-order linear equations, general linear equations and systems, existence and uniqueness theorems, plane autonomous systems. (G)

460: Number Theory. 0-3-3. Preq., MATH 318. Divisibility properties of integers, prime numbers, congruences, number theoretic functions. (G)

470: Introduction to Topology. 0-3-3. Preq., consent of instructor. Introduction of concepts, metric spaces, countability axioms, separation axioms, connectedness, compactness, product spaces, continuous mappings and homeomorphisms, homotopy, quotient spaces. (G)

480: Introductory Analysis. 0-3-3. Preq., MATH 340. A study of functions in metric spaces-limits, continuity, integration, uniform convergence, approximations. (G)

490: Topics in Mathematics. 0-3-3 (6). Various topics in the field of Mathematics. May be repeated for credit. (G)

502: Special Functions in Applied Mathematics. 0-3-3. Preq., MATH 350. Orthogonal functions, solutions of differential equations of Legendre, Gauss, Hermite, Tchebysheff, Laguerre, and Bessel, properties of these solutions, coordinate system, and boundary value problems.

507: Partial Differential Equations. 0-3-3. Preq., MATH 407. Continuation of MATH 407. Existence, uniqueness, and representation of solutions, problems in higher dimensions, Green's formulas, multiple Fourier series, Fourier transforms, boundary value problems in infinite domains.

510: Functional Analysis. 0-3-3. Preq., MATH 405, 470. Linear spaces, normed spaces, metric spaces, Banach spaces, Hilbert spaces.

511: Functional Analysis. 0-3-3. Preq., MATH 510. Linear topological spaces, metric spaces, Banach spaces, Hilbert spaces.

515: Numerical Analysis. 0-3-3. Preq., Consent of instructor. Numerical analysis of problems in linear algebra, norms for vectors and matrices, convergence properties of sequences and series of vectors and matrices, convergence of iterative techniques for linear systems. Numerical differentiation and integration. Numerical solutions of differential equations.

520: Theory of Ordinary Differential Equations. 0-3-3. Preq., MATH 450. Existence and uniqueness theorems, dependence of solutions on a parameter, linear and nonlinear differential equations, differential inequalities, oscillation and comparison theorems, stability of solutions, perturbation theory.

530: Algebraic Topology. 0-3-3. Preq., MATH 470 and 416. Categories and functions, Eilenberg-Steenrod axioms, construction of the nomology and cohomology groups, homology of finite complexes, universal coefficient theorems, Eilenberg-Zilben theorem, the conhomology ring, the cross product operation, fundamental group, higher homotopy groups.

544: Modern Operational Mathematics. 0-3-3. Preq., MATH 350. Theory and applications of transforms of Laplace and Fourier, inverse transforms by complex variable methods. Applications to analysis and linear operations.

545: Complex Analysis. 0-3-3. Preq., MATH 445. Rigorous development of limits, continuity, analyticity, sequences, uniform convergence, power series, exponential and trigonometric functions, conformality, linear transformations, conformal mapping and elementary Riemann surfaces.

546: Complex Analysis. 0-3-3. Preq., MATH 545. Continuation of MATH 545. Fundamental theorems in complex integration, local properties of analytic functions, calculus of residues, harmonic functions, entire functions, normal families, conformal mappings and Dirichlet's problem, elliptic and global analytic functions.

550: Algebraic Geometry. 0-3-3. Preq., MATH 233 and 405 or consent. Homogeneous linear equations and linear dependence, projections and rigid motions, homogeneous cartesian coordinates, linear dependence of points and lines, point geometry and line geometry, harmonic division and cross ratio, one-and-two dimensional projective transformations.

551: Research and Thesis in Mathematics. 3 credit hours (6). Registration in any quarter may be for three semester hours credit or multiples thereof. Maximum credit allowed is six semester hours.

562: Advanced Linear Algebra. 0-3-3. Preq., MATH 405. Eigenvalues, linear functionals, bilinear and quadratic forms, orthogonal and unitary transformations, normal matrices.

566: Advanced Abstract Algebra. 0-3-3. Preq., MATH 416. Concepts from set theory, groups, rings, integral domains, fields, extensions of rings and fields, modules, ideals.

574: Numerical Solution for PDE I. 0-3-3. Preq., MATH 407, 414. Finite difference schemes and their accuracy, stability, and convergence. Schemes for parabolic and hyperbolic PDEs.

575: Numerical Solution for PDE II. 0-3-3. Preq., MATH 407, 414, 574. Finite difference schemes for elliptic PDEs, iterative methods, and introduction to finite element methods and multigrid methods.

578: Probability Theory. 0-3-3. Preq., MATH 480 or consent of instructor. Probability spaces and random variables, characteristic functions and distribution functions, probability laws and types of laws, limit distributions, independent and dependent sums of random variables.

580: Mathematical Analysis. 0-3-3. Preq., MATH 480. Real number system, measures with emphasis on Lebesque measure, abstract integration with emphasis on the Lebesque integral.

581: Mathematical Analysis. 0-3-3. Preq., MATH 580. Metric Spaces, Topological Spaces and Banach Spaces.

584: Topics in Algebra. 0-3-3 (15). May be repeated for 3 hours credit each time.

586: Topics in Analysis. 0-3-3 (15). May be repeated for 3 hours credit each time.

587: Topics in Applied Mathematics. 0-3-3 (15). May be repeated for 3 hours credit each time.

588: Topics in Topology. 0-3-3 (15). May be repeated for 3 hours credit each time.

599: Graduate Training Seminar. 0-3-3 (15). Preq., Consent of instructor. Guided and/or directed study, readings, discussion, observation, and training in the teaching of college mathematics. (Pass/Fail)

655: Mathematical Modeling. 0-3-3. Preq., MATH 350, STAT 620, or consent of instructor. Building deterministic and probabilistic models; applications from physical and life sciences. Transient and stationary models, stability, and optimal solutions. Model validation: acceptance, improvement, or rejection.