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COLORADO STATE UNIVERSITY-GLOBAL CAMPUS - 100% Online Accredited Degrees
 

GRADUATE LEVEL MATH COURSEWORK

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Overview 

The following 18 credit hour sequence is designed to provide existing K-12 math teachers with the graduate level credit in mathematics necessary to be qualified to teach dual enrollment courses. These graduate-level courses are designed for students who have already completed a 32+ credit hour sequence of undergraduate mathematics courses. For those teachers requiring a master’s degree, the math sequence courses can be used to fulfill the specialization requirement in CSU-Global's M.S. in Teaching and Learning degree.

Courses 

  • MTH525: Discrete Mathematics

    This course provides an introduction to discrete structures.Topics include set theory, logic, number theory, recursion, combinatorics, graph theory and basic probability. Particular emphasis is placed on the methods of mathematical proof: direct proof, induction, contradiction. This course also offers best practices for Dual Credit course instruction and discussions of standard pedagogy.

  • 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.

  • 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. This course will also offer best practices for Dual Credit course instruction and discussions of standard pedagogy.

  • 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.

  • 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.

  • MTH556: Advanced Probability and Statistics

    This course introduces students to a wide range of probability and statistical concepts, with a foundation in Calculus. Topics include axioms of probability (Kolmogorov), Poisson processes, Markov chains, and Limit theorems. Students gain an understanding and the necessary skills to go beyond basic undergraduate statistics courses. This course also offers best practices for Dual Credit course instruction and discussions of standard pedagogy. Previous undergraduate coursework (at least 4-8-credits of undergraduate Statistics and at least 12-credits of undergraduate Calculus) is assumed.

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