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MTH525
Discrete Mathematics
This graduate-level course will provide an introduction to discrete structures. The topics will range from: set theory, logic, number theory, recursion, combinatorics, graph theory and basic probability. Great emphasis will be focused on methods of mathematical proof: direct proof, induction, contradiction. This course will also offer best practices for Dual Credit course instruction and discussions of standard pedagogy. Previous undergraduate coursework (at least 21 credits of undergraduate Mathematics coursework) is assumed. Course not eligible for Prior Learning Assessment (PLA) credit.
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MTH530
Foundation and Applications of Analysis I
This graduate-level course provides an overview of analysis principles and implications. The topics covered by this extended course range from differential and integral calculus, to differential equations and analysis of complex variables. The course material covers the first half of the traditional graduate-level Calculus sequence, selected Linear algebra and differential equations concepts. This course will also offer best practices for Dual Credit course instruction and discussions of standard pedagogy. Previous undergraduate coursework (at least 12-credits of undergraduate Calculus) is assumed. Prerequisite: MTH525. Course not eligible for Prior Learning Assessment (PLA) credit.
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MTH531
Foundation and Applications of Analysis II
This course provides an overview of analysis principles and implications. The topics covered by this extended course range from differential and integration calculus, to differential equations and analysis of complex variables. The course material covers the second half of a traditional graduate-level Calculus sequence, selected Linear algebra and differential equations concepts. Previous undergraduate coursework (at least 12-credits of undergraduate Calculus) is assumed. Recommended Prior Course: MTH530. Course not eligible for Prior Learning Assessment (PLA) credit.
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MTH540
Higher Geometry
This graduate-level course covers the foundations of Euclidean and non-Euclidean geometries (geometry of Lobachevski/Hyperbolic geometry, Spherical geometry). The course also includes a historical study of parallel postulate and discussion of the study of Axiomatic systems. This course will also offer best practices for Dual Credit course instruction and discussions of standard pedagogy. Prerequisite: MTH531. Course not eligible for Prior Learning Assessment (PLA) credit.
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MTH545
Mathematical Modeling
The course will cover several techniques in mathematical modeling. The focus will be given to simulation using computer algebra systems. Special attention will be given to optimization, dynamic models and stochastic models. This course will also offer best practices for Dual Credit course instruction and discussions of standard pedagogy. Prerequisite: MTH531. Course not eligible for Prior Learning Assessment (PLA) credit.
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MTH556
Advanced Probability and Statistics
This graduate-level course will introduce students to a wide range of probability and statistical concepts, with a foundation in Calculus. The topics range from axioms of probability (Kolmogorov) to Poisson processes, as well as Markov chains and Limit theorems. Students will gain understanding and skills that go well beyond basic undergraduate statistics courses. Previous undergraduate coursework (at least 4-8 credits of undergraduate Statistics and at least 12-credits of undergraduate Calculus) is assumed. This course will also offer best practices for Dual Credit course instruction and discussions of standard pedagogy. Course not eligible for Prior Learning Assessment (PLA) credit.