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Course Criteria
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4.00 Credits
Explores calculus and analytic infinite series, power series, Taylor and Maclaurin series, 3D coordinate systems, vectors, vector functions, functions of several variables, partial derivatives, double and triple integrals with applications. Prerequisite: MAT H391.
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2.00 Credits
Introduces the use of computer algebra systems and graphing calculators in algebra, trigonometry, statistics, calculus, and matrix algebra. Prerequisite: MAT H325, MAT H390 is recommended.
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3.00 Credits
An introduction to linear algebra and matrices. Topics include systems of equations, determinants, vector spaces, subspaces, linear independence and bases, linear transformations and matrices, rank, nullity, diagonalization, and quadratic forms. Includes discussion of applications of matrices in economics, linear programming, graph theory, game theory, statistics, and/or numerical analysis. Prerequisite: MAT H355.
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3.00 Credits
Introduction to the principles and methods of operations research. Draws upon calculus, statistics, and probability as prerequisites. Topics include the systems approach, linear programming, queueing theory, inventory theory, decision analysis, PERT/CPM, integer programming, and simulation. Prerequisites: MAT H340, MAT H355, and STAT 521.
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3.00 Credits
A basic course in differential equations covering existence, uniqueness, homogeneous equations, first order and simple higher order equations, linear constant coefficient equations, and simultaneous equations. Introduction to numerical analysis concepts and available computer packages for numerical solutions. Prerequisites: MAT H355, MAT H440 is recommended.
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3.00 Credits
An introduction to algebraic structures and topics, including relations, operations, mappings, groups, rings, fields, homomorphisms, quotient structures, polynomials. Prerequisite: MAT H440 or equivalent.
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3.00 Credits
A study of the properties of whole numbers: divisibility, primes, modular arithmetic, secret codes, hashing functions, quadratic reciprocity, sums of squares, continued fractions, Diophantine equations, Pell's equation, square-triangular numbers, errors in finite-precision arithmetics using pocket calculators and computers, Fermat's Last Theorem, and related topics. Prerequisite: MAT H325 or MAT H320. Knowing how to program a computer is useful but not necessary.
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1.00 - 4.00 Credits
Individual reading, research, and/or project in mathematics under the supervision of the faculty. Prerequisite: Permission.
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3.00 Credits
Covers proof-oriented survey of the real number system, real number sequences, limits of functions, continuity, differentiability, integrability, sequences, and infinite series, Taylor series, convergence in Euclidean spaces, metric spaces, derivatives and integrals on Rn, and vector calculus. Prerequisites: MAT H392 and MAT H440 are required; and MAT H455 is recommended. MAT H460 would also be helpful but not necessary.
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3.00 Credits
Introduces complex analysis topics including complex numbers and functions of one complex variable, analytic functions and Cauchy-Riemann Equations, harmonic functions, elementary functions of one complex variable, contour integrals, Cauchy's Integral Theorem, Taylor and Laurent series, theory of residues, and Riemann Sphere. May discuss conformal mappings anlalytic continuation, Riemann Surfaces, Mitteg-Leffler expansion of meromorphic functions. Prerequisite: MAT H393, MAT H455, MAT H460, and MAT H472. It is recommended this course be taken the trimester before student teaching. media communications
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