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MTH 3240: Environmental Statistics
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 1110 and MTH 1210 with grades of "C" or better, or Permission of instructorThis is a course in inferential statistics, sampling techniques, and quality control as they relate to environmental issues. Students will work with data and problems related to the environmental science field of study. This course does not count towards a major or minor in mathematics.
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MTH 3250: Optimization Techniques I
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 2140 or MTH 3140 with a grade of " C" or better, or Permission of instructorThis course is an introduction to the mathematical programming techniques of operations research including linear programming and topics selected from integer programming, network analysis, dynamic programming, and game theory.
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MTH 3250 - Optimization Techniques I
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MTH 3260: Optimization Techniques II
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 1410 and MTH 2140 or Permission of instructor This course is a study of mathematical planning techniques and probabilistic techniques of operations research. The topics covered will be selected from: simulation theory, decision theory, inventory theory, Markov chains, queuing theory, nonlinear programming, geometric programming, and economic analysis.
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MTH 3400: Chaos and Nonlinear Dynamics
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 1410 and MTH 2410 with a grade of "C" or better, or Permission of instructor; and satisfaction of all Level I General Studies course requirementsThis course is an introduction to dynamical systems from the extension of Newtonian physics to the development of chaos theory and nonlinear dynamics. It gives insight into the evolution of nonlinear dynamics from historical mathematical and applications viewpoints. It develops and applies chaos theory to physical systems. Algorithms for generating intricate fractal images and the mathematics behind the images are also developed. (General Studies-Level II, Arts and Letters)
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MTH 3420: Differential Equations
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 2420 with a grade of "C" or better, or Permission of instructorThis course includes a study of first, second, and higher order differential equations and systems giving solutions in closed form, by numerical approximations, and through Laplace Transforms. These techniques are applied to problems in the physical sciences and engineering. All sections will integrate the use of the software package Mathematica into the course.
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MTH 3440: Partial Differential Equations
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 3420 with a grade of "C" or better, or Permission of instructorThis is a course in partial differential equations and their solutions. It includes separation of variables techniques, Fourier series, and applications to the heat equation, the wave equation, and the potential equation. All sections will integrate the use of the software package Mathematica into the course.
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MTH 3470: Introduction to Discrete Mathematics and Modeling
5.00 Credits
Metropolitan State University of Denver
3 (3 + 0) Prerequisite: MTH 2410 with a grade of "C" or better, or Permission of instructorThis is a problem-solving course. Topics will include enumeration, graph theory, difference equations, modeling, simulation, fractal geometry, and dynamical systems.
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MTH 3510: SAS Programming
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 3210 with a grade of "C" or better; or permission of instructorThis course covers techniques of data management using SAS programming. It includes reading and manipulating various types of data, creating reports, applying statistical procedures, and the use of SAS Enterprise Miner for data mining. At the end of the course the students take the "SAS BASE PROGRAMMER" certification exam (administered by the SAS Corporation).
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MTH 3650: Foundations of Geometry
5.00 Credits
Metropolitan State University of Denver
3 (3 + 0) Prerequisite: MTH 3100 with a grade of "C" or better, or Permission of instructorThis course will reexamine Euclidean geometry via Hilbert's axioms. This will allow a coherent approach to projective, Euclidean, non-Euclidean, and other related geometries. It is designed for prospective secondary teachers and others interested in modern geometric theories.
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MTH 4110: Abstract Algebra II
5.00 Credits
Metropolitan State University of Denver
3 (3 + 0) Prerequisite: MTH 3110 or Permission of instructor This course is a continuation of MTH 3110 with emphasis on an in-depth study of the properties of the structures introduced in MTH 3110. It includes Sylow theory, ideals and their properties, principal ideal domains, field extensions and finite fields.
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