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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 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.

  • 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.

  • 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. Prerequisite: MTH531. Course not eligible for Prior Learning Assessment (PLA) credit.

  • 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.

  • 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.

For financial assistance, see if you qualify for Colorado Center for Rural Education scholarships or stipends by visiting http://www.unco.edu/colorado-center-for-rural-education/scholarships-and-stipends.aspx.

Rural Colorado Scholarship for Dual Enrollment Coursework

K-12 educators enrolled in dual enrollment instruction certification coursework may be eligible to receive a Concurrent Enrollment Educator Qualification certification scholarship of $6,000. The scholarship is for educators in rural Colorado school districts.

For more information, click here.

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