Mathematics (MAT)
MAT 105. Mathematics with Applications. (3 Credits)
I, II. Prerequisite: Satisfaction of English and reading academic readiness indicators and either satisfaction of mathematics academic readiness indicators* or concurrent enrollment in MAT 105P. This course is designed to strengthen computational skills, mathematical reasoning, problems-solving skills, and mathematical reading/ communication skills while focusing on real-world problems. The mathematical topics may include the mathematics of finance, statistics, geometry, combinatorics, mathematical modeling, and algorithms. Use of calculators. Gen. Ed. E-2 [QR].
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MAT 106. Applied Mathematics:___. (3 Credits)
I, II. Prerequisite: Satisfaction of English and reading academic readiness indicators* and either satisfaction of mathematics academic readiness indicators or concurrent enrollment in MAT 106P. The introduction to the application of mathematics to real-world problems. Topics are from various branches of mathematics such as graph theory, game theory, probability, geometry, and problems from the social sciences. 3 Lec.
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MAT 110. Intro to Algebraic Functions. (3 Credits)
I, II. Prerequisite: Completion of all University developmental requirements. Algebraic modeling with linear, quadratic, polynomial, rational, exponential and logarithmic functions, equations, and inequalities. 3 Lec/1 Lab.
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I, II. Formerly MAT 112AP. Corequisite: MAT 112A. Corequisite support for students in MAT 112A. Emphasis placed on prerequisite skills such as real number sense and operations, problem solving, analyzing graphs, factoring, exponents, mathematical modeling, and critical reading and thinking. Credit will not be awarded to students who have credit for MAT 112AP. 2 Lab
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I, II. Formerly MAT 112BP. Corequisite: MAT 112B. Corequisite support for students in MAT 112B. Emphasis on prerequisite skills including real number sense and operations, problem solving, graphs, factoring, exponents, logarithms, matrices, sequences, mathematical modeling, and critical reading and thinking. Credit will not be awarded to students who have credit for MAT 112BP. 2 Lab.
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MAT 112. Algebra with Applications. (3 Credits)
(3) I. II. Prerequisite: MAT 098 or MAT 110 with a minimum grade of "C", a minimum score of 22 on the mathematics portion of the ACT, a minimum score of 510 on the mathematics portion of the SAT, or a passing score on an algebra placement test. Students will solve application problems involving linear and quadratic equations, matrices, systems of linear equations, series and sequences, logarithmic and exponential equations; and analyze graphs of linear, quadratic, exponential, logarithmic and power functions. 3 Lec/1 Lab. Gen. Ed. E-2
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MAT 112A. Algebra: Polynomials. (1.5 Credits)
I, II. Prerequisite/ Corequisite: Satisfaction of English and reading academic readiness indicators and either satisfaction of algebra readiness indicators* or concurrent enrollment in MAT 111A.Students will solve application problems involving linear, quadratic, and power equations and analyze graphs of linear, quadratic, and power functions. Credit will not be awarded to students who have credit for MAT 112. 3 Lec /1 Lab. Gen. Ed. E-2 [QR]. General Education credit will not be awarded until after successful completion of both MAT 112A and MAT 112B.
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MAT 112B. Algebra: Functions & Matrices. (1.5 Credits)
I, II. Prerequisite/Corequisite: MAT 112A (C) and either satisfaction of algebra readiness indicators* or concurrent enrollment in MAT 111B. Students will solve application problems involving matrices, systems of linear equations, series and sequences, logarithmic and exponential equations; and analyze graphs of exponential and logarithmic functions. Credit will not be awarded to students who have credit for MAT 112. 3 Lec /1 Lab. Gen. Ed. E-2 [QR]. General Education credit will not be awarded until after successful completion of both MAT 112A and MAT 112B.
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(.5) I, II. Corequisite: MAT 112B. Corequisite support for students in MAT 112B. Emphasis on prerequisite skills including real number sense and operations,problem solving, graphs, factoring, exponents, logarithms, matrices, sequences, mathematical modeling, and critical reading and thinking. 2 Lab.
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MAT 114. College Algebra. (3 Credits)
(3) I, II. Formerly MAT 107. Prerequisite: MAT 098 or MAT 110 with a minimum grade of "C", a minimum score of 22 on the mathematics portion of the ACT, a minimum score of 530 on the mathematics portion of the SAT, or a passing score on an algebra placement test. Real and complex numbers, integer and rational exponents, polynomial and rational equations and inequalities, graphs of functions and relations, exponential and logarithmic functions. Use of graphing calculators. Credit will not be awarded to students who have credit for MAT 107. 3 Lec/1 Lab. Gen Ed. E-2.
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MAT 115. Introduction to Mathematica. (1 Credit)
I, II. Prerequisite: MAT 112 or 114 with a minimum grade of "C", or a minimum score of 23 on the mathematics portion of the ACT or a minimum score of 550 on the mathematics portion of the SAT. Use of Mathematica. Numeric, algebraic, and symbolic capabilities, two and three dimensional graphics with animation, decisions, looping, and list manipulation.
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MAT 116. Problem Solving with Math. (2 Credits)
A. Prerequisite: MAT 115. Basic concepts include functional programming, procedural programming, rule-based programming, recursion, numerics, and graphics programming.
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MAT 120. Trigonometry. (3 Credits)
I, II. Prerequisite: Prerequisite: MAT 112 or 112B or 114 with a grade of “C” or better, or a Math ACT score of 22 or higher, or a Math SAT score of 560 or higher. Radians and degrees, graphs of trigonometric functions, inverse functions, right and oblique triangles, vectors, and real-world applications. Gen. Ed. E-2 [QR].
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MAT 122. Precalculus Mathematics. (5 Credits)
(5) I. II. Formerly MAT 109. Prerequisite: MAT 112 or 114 with a grade of "C" or better, a minimum score of 23 on the mathematics portion of the ACT, or a minimum score of 550 on the mathematics portion of the SAT. Polynomial, rational, exponential, logarithmic, and trigonometric functions and inverses. Sequences and series, systems of linear and nonlinear equations and inequalities, the comples number system, vectors, the binomial theorem, mathematical induction, and conic sections. Use of graphing calculators. Credit will not be awarded to those students who have credit for MAT 109. Gen. Ed. E2.
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MAT 122L. Precalculus Lab. (0.5-1 Credits)
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MAT 203. Geometry for 7-12 Teachers. (3 Credits)
II. Prerequisites: admission to a teacher certification program; and either MAT 234 with a grade of C or higher or a combination of four courses: MAE 201; MAE 202; MAE 302 or EME 301; and MAT 112 or higher, with a grade of C or higher in each course and a combined grade point average of 2.75 in the four courses. Angles and their measurement, perpendicular lines, congruent triangles, circles, arcs, and angles, constructions and loci, transformations, similarity, graphing, selected topics from analytic geometry.
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MAT 211. Applied Calculus. (3 Credits)
A. Prerequisite: MAT 112 or 112B or 114 or 120 or 122 with a grade of "C" or better, or a minimum score of 23 on the mathematics portion of the ACT or a minimum score of 550 on the mathematics portion of the SAT. Functions and graphs, differentiation, integration, exponential and logarithmic functions, and applications for business, economics, and science. Credit will not be awarded to students who have credit for MAT 261. Gen. Ed. Element 2
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MAT 211L. Applied Calculus Lab. (0.5-1 Credits)
I, II. Formerly MAT 217. Prerequisite or Corequisite: MAT 211. This optional lab is to accompany a regular lecture class in Applied Calculus. 2-4 Lab. Credit will not be awarded to students who have credit for MAT 217.
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MAT 234. Calculus I. (4 Credits)
I, II. Prerequisite: MAT 122 with a grade of "C" or better, a minimum score of 27 on the mathematics portion of the ACT, or a minimum score of 640 on the mathematics portion of the SAT or a passing score on a calculus placement test. Functions, limits and continuity, derivatives and applications, and integration. Gen. Ed. E-2 [QR].
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MAT 234L. Calculus I Lab. (0.5-1 Credits)
I, II. Formerly MAT 217. Prerequisite or Corequisite: MAT 234. This optional lab is to accompany a regular lecture class in Calculus I. 2-4 Lab. Credit will not be awarded to students who have credit for MAT 217.
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MAT 239. Linear Algebra and Matrices. (3 Credits)
(3) I. II. Formerly MAT 214. Prerequisite: MAT 234 or 234H with a grade of "C" or better. Real and comples vector spaces, linear tranfroamtions, matric theory, with applications, through the introduction of eigenvalues and eigenvectors, determinants, inner product spaces, the use of technology. Credit will not be awarded to students who have credit for MAT 214.
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MAT 244. Calculus II. (4 Credits)
I, II. Prerequisite: MAT 234 with a grade of "C" or better. Fundamental integration techniques, numerical integration, applications of integration, improper integrals, differential equations, infinite series, polar and parametric equations.
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MAT 244L. Calculus II Lab. (0.5-1 Credits)
I, II. Formerly MAT 218. Prerequisite or Corequisite: MAT 244. This optional lab is to accompany a regular lecture class in Calculus II. 2-4 Lab. Credit will not be awarded to students who have credit for MAT 218.
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MAT 254. Calculus III. (4 Credits)
I, II. Prerequisite: MAT 244 with a grade of "C" or better. Functions of several variables, limits and continuity, partial derivatives, multiple integrals, vector calculus including Green's, Divergence, and Stoke's theorems, cylindrical and spherical coordinates.
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MAT 254L. Calculus III Lab. (0.5-1 Credits)
I, II. Formerly MAT 219. Prerequisite or Corequisite: MAT 254. This optional lab is to accompany a regular lecture class in Calculus III. 2-4 Lab. Credit will not be awarded to students who have credit for MAT 219.
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MAT 301. Logic and Set Theory. (3 Credits)
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MAT 306. Discrete Mathematics. (3 Credits)
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MAT 307. Number Theory. (3 Credits)
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MAT 308. Modern Algebra I. (3 Credits)
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MAT 315. Introduction to Analysis. (3 Credits)
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MAT 334. Modern College Geometry I. (3 Credits)
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MAT 349. Applied Learning in Mathematics. (0.5-8 Credits)
I, II; (1-6) SUMMER ONLY. Prerequisite: departmental approval. Work in placements related to academic studies. Credit does not apply to major or minor requirements. Total hours: eight, associate; sixteen, baccalaureate. A minimum of 80 hours of employment are required for each semester hour of academic credit.
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MAT 349A. Cooperative Study: Mathematics. (0.5-8 Credits)
(1-8) I, II; (1-6) SUMMER ONLY. Prerequisite: departmental approval. Work in placements related to academic studies. Credit does not apply to major or minor requirements. Total hours: eight, associate; sixteen, baccalaureate. A minimum of 80 hours of employment are required for each semester hour of academic credit.
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MAT 349B. Cooperative Study: Mathematics. (0.5-8 Credits)
Work in placements related to academic studies. Credit does not apply to major or minor requirements.
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MAT 349C. Cooperative Study: Mathematics. (0.5-8 Credits)
Work in placements related to academic studies. Credit does not apply to major or minor requirements.
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MAT 349D. Cooperative Study: Mathematics. (0.5-8 Credits)
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MAT 349E. Cooperative Study: Mathematics. (0.5-8 Credits)
Work in placements related to academic studies. Credit does not apply to major or minor requirements.
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MAT 349F. Cooperative Study: Mathematics. (0.5-8 Credits)
Work in placements related to academic studies. Credit does not apply to major or minor requirements.
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MAT 353. Differential Equations. (3 Credits)
A. Prerequisite: MAT 244 with a minimum grade of “C.” Differential equations of first order, applications, singular solutions, linear equations with constant coefficients, miscellaneous methods for equations of higher order, solution in series, Laplace transforms, systems of linear differential equations.
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MAT 380. Mathematics in a Historical. (3 Credits)
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MAT 405. Foundations of Mathematics. (3 Credits)
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MAT 408. Modern Algebra II. (3 Credits)
A. Prerequisite: MAT 308 with a minimum grade of “C.” Rings, fields, integral domains, ideals, ring homomorphisms, polynomial rings, unique factorization domains, principal ideal domains, finite fields, field extensions, algebraic extensions.
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MAT 415. Analysis. (3 Credits)
A. Prerequisite: MAT 315 with a minimum grade of “C.” The Riemann integral, sequences and series of functions, uniform convergence.
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MAT 455. Graph Theory. (3 Credits)
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MAT 460. Point Set Topology. (3 Credits)
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MAT 480. Seminar in:___. (1-3 Credits)
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MAT 495. Independent Work. (1-3 Credits)
A. Prerequisite: Completion of 6 hours of MAT 300 level courses with a minimum grade of "C" and departmental approval. Directed study/ research on a problem or area chosen in consultation with instructor. Final paper required. Student must have the independent study proposal form approved by faculty supervisor and department chair prior to enrollment. May be retaken to maximum of six hours.
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MAT 498. Mathematics Capstone. (1 Credit)
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MAT 501. Applicat of Math for P-9 Teach. (3 Credits)
A. Prerequisite: MAT 303. Topics in the application of mathematical models appropriate for teachers of grades P-9. Credit does not apply toward B.S. or degree requirements for programs offered within this department.
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MAT 502. Geom with Tech for P-9 Teah. (3 Credits)
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MAT 505. Foundations of Mathematics. (3 Credits)
A. Prerequisite: MAT 308 with a minimum
grade of ¿C.¿ The nature of mathematical thought;
logical systems; axiomatic concepts and methods;
consideration of the work of Hilbert, Peano,
Whitehead, Russell, and others.
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MAT 506. Number Theory. (3 Credits)
Fundamental properties of integers, linear Diophantine equations, linear and quadratic congruences, famous problems of number theory.
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MAT 507. Seminar in Mathematics:___. (1-3 Credits)
Topics vary with offering. May be retaken with advisor approval, provided the topics are different. Credit towards degree requirements will depend on course content.
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MAT 520. Mathematical Statistics I. (3 Credits)
I. Cross listed as STA 520. Prerequisite: STA 215, 260, or 270. Prerequisite or Corequisite: MAT 254. Descriptive statistics, discrete and continuous probability distributions for one and two variables, functions of random variables, sampling distributions, expectations and generating functions. Credit will not be awarded to students who have credit for STA 520.
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MAT 525. Vector Analysis with Applications. (3 Credits)
A. Prerequisite: MAT 225 or 225H with a minimum grade of ¿C.¿ Algebra and geometry of vectors; vector functions of a single variable; line, surface, and volume integrals; Divergence Theorem, Stokes¿ Theorem, Green¿s Theorem; generalized orthogonal coordinates; Fourier Series; solutions to boundary value problems.
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MAT 527. Cryptology. (3 Credits)
(3) A. Prerequisites: Senior standing and MAT 301. Classical cryptosystems, basic
number theory, DES, Advanced Encryption Standard, RSA, discrete logs, digital signatures, elliptic curve cryptosystem, lattice methods. It is strongly recommended that students have completed a course in proof writing.
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MAT 540. Applications of Partial Differential Equations. (3 Credits)
A. Prerequisite: MAT 353 with a minimum grade of "C". Wave, heat/diffusion and potential/Laplace equations, separation of variables, orthogonal sets of functions. Fourier series, boundary value problems, Fourier integrals, maximum principles, the Cauchy problem.
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MAT 550. Applications of Complex Analysis. (3 Credits)
A. Prerequisite: MAT 225 or 225H or 353 with a minimum grade of ¿C.¿ Continuity, differentiation, integration, series, residues, and applications to the evaluation of real integrals. Applications of conformal mappings to boundary value problems in heat, electrostatic potential, and fluid flow. Emphasis throughout on computational techniques and applications.
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MAT 555. Graph Theory. (3 Credits)
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MAT 560. Point Set Topology. (3 Credits)
An introduction to topology with emphasis on Euclidean and other metric spaces. Mappings, connectivity, compactness, formation of new spaces, relationship to analysis.
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MAT 577. Introduction to Algebraic Coding Theory. (3 Credits)
(3) A. Prerequisites: Senior standing; MAT 301, or both MAT 214 and departmental approval. Introduction to basic concepts of coding theory, linear codes, perfect codes, cyclic codes, BCH codes, and Reed Solomon codes. Additional topics as time permits. It is strongly recommended that students have completed a course in linear algebra and a course in proof writing.
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MAT 701. Applicat of Math for P-9. (3 Credits)
A. Topics in the application of mathematical models appropriate for teachers of grades P-9.
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MAT 702. Geo with Tech for P-9 Teachers. (3 Credits)
A. Topics in geometry appropriate for teachers of grades P-9.
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MAT 707. Seminar in Mathematics:_______. (1-3 Credits)
A. Topics vary with offering. May be retaken with advisor approval, provided the topics are different. Credit towards degree requirements will depend on the course content.
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MAT 720. Mathematical Statistics I. (3 Credits)
I. Cross-listed as STA 720. Descriptive statistics, discrete and continuous probability distributions for one and two variables, functions of random variables, sampling distributions, expectations and generating functions. Credit will not be awarded to students who have credit for STA 720. It is strongly recommended that students have completed eight hours of calculus.
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MAT 725. Vector Analysis with Applicati. (3 Credits)
A. Algebra and geometry of vectors; vector functions of a single variable; line, surface, and volume integrals; divergence Theorem, Stokes¿ Theorem, Green¿s Theorem; generalized orthogonal coordinates; Fourier Series; solutions to boundary value problems. It is strongly recommended that students have completed twelve hours of calculus.
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MAT 727. Cryptology. (3 Credits)
(3) A. Classical cryptosystems, basic number theory, DES, Advanced Encryption
Standard, RSA, discrete logs, digital signatures, elliptic curve cryptosystem, lattice methods. It is strongly recommended that students have completed a course in proof writing.
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MAT 740. Applic of Partial Diff Equatio. (3 Credits)
A. Wave, heat/diffusion and potential/Laplace equations, seperation of variables, orthogonal sets of functions. Fourier series, boundry value problems, Fourier integrals, maximum principles, the Cauchy problem. It is strongly recommended that students have completed a course in differential equations.
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MAT 750. Appl of Complex Analysis. (3 Credits)
A. Continuity, differentiation, integration, series, residues, and applications to the evaluation of real integrals. Applications of conformal mappings to boundary value problems in heat, electrostatic potential, and fluid flow. Emphasis throughout on computational techniques and applications. Credit will not be awarded to students who have credit for MAT 850. It is strongly recommended that students have completed twelve hours of calculus or eight hours of calculus plus a differential equations course.
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MAT 777. Intro to Alg Coding Theory. (3 Credits)
(3) A. Prerequisites: Senior standing; MAT 301, or both MAT 214 and departmental approval. Introduction to basic concepts of coding theory, linear codes, perfect codes, cyclic codes, BCH codes, and Reed Solomon codes. Additional topics as time permits. It is strongly recommended that students have completed a course in linear algebra and a course in proof writing.
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MAT 803. Number/Geometric Con/P-5 Tchrs. (3 Credits)
A. Prerequisite: admission to the MAT program or departmental approval. Numeric and geometric concepts; problem solving with numbers, geometry, and data; reasoning; and connections. Credit does not apply toward the M.S. degree offered within this department. Credit will not be awarded to students who have credit for MAT 202.
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MAT 806. Advanced Number Theory. (3 Credits)
A. Basic concepts from analytic and algebraic number theory including the Prime Number Theorem, Dirichlet¿s Theorem, the Riemann Hypothesis, algebraic integers, ideals and factorization in algebraic number fields. Additional topics as time permits. It is strongly recommended that students have completed courses in number theory, abstract algebra, and real analysis or differential equations.
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MAT 839. Co-op or Appl Lrn: Mathematics. (0.5-3 Credits)
A. Prerequisite: departmental approval. May be retaken with approval to a maximum of three credits. Employment with faculty and field supervision in an area related to the student¿s academic interests. A minimum of eighty hours of employment is required for each academic credit.
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MAT 853. Ordinary Differential Equation. (3 Credits)
(3) A. Uniqueness and existence of solutions of initial value problems, maximal intervals of existence, continuous dependence, disconjugacy of boundary value
problems, Cauchy functions, Green’s functions, and fixed point theory. Additional topics as time permits. It is strongly recommended that students have completed a course in analysis.
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MAT 856. Applied Mathematics. (3 Credits)
A. Dynamical systems, linear and nonlinear systems theory, transform methods, integral equations, control theory and optimization, calculus of variations, eigenvalue problems, stability theory, bifurcation. It is strongly recommended that students have completed a course in differential equations.
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MAT 865. Applied Linear Algebra. (3 Credits)
(3) A. Vector spaces, LU decomposition, singular value decomposition, orthogonality, and related theory, with applications to least squares, Markov chains,
combinatorics, differential equations, and other topics. It is strongly recommended that students have completed a course in linear algebra.
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MAT 866. Combinatorial Optimization. (3 Credits)
(3) A. Combinatorial optimization, linear programming, flow and
matching theory, traveling salesman problem, and related topics. It is strongly recommended that students have completed a linear algebra course.
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MAT 871. Numerical Analysis. (3 Credits)
A. Computer arithmetic. Analysis of errors and stability of well-posed problems. LaGrange, Hermite and spline interpolation. Newton-Cotes, Romberg, and Gaussian quadrature. Consistency, convergence, and stability of numerical integration methods for ordinary initial value problems. Finite difference and shooting methods for two-point boundary value problems. It is strongly recommended that students have completed a real analysis course and have experience with a programming language.
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MAT 880. Seminar in:___________________. (1-3 Credits)
A. Advanced topics in Mathematics. May be retaken to a maximum of six hours, provided the topics are different. Credit towards degree requirements will depend on the course content.
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MAT 890. Independent Study in:_________. (1-3 Credits)
A. Prerequisites: An 800-level course and departmental approval. Independent study on a problem chosen by the student and instructor. Student must have the independent study proposal form approved by faculty supervisor and department chair prior to enrollment. May be retaken to a maximum of nine hours, provided the topics are different.
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MAT 898. Applied Mathematics Capstone. (3 Credits)
(3) A. Prerequisite: completion of at least 15 hours toward the M.A. in Applied Mathematics degree. Preparation for mathematical and statistical study. Guided one-on-one study of a mathematical or statistical concept. Use of mathematical typesetting software, presentation software, and research databases.
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MAT 899. Thesis in ____________________. (1-6 Credits)
A.
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