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MTH525 - Discrete Mathematics
Course Description
This graduate-level course will provide a rigorous introduction to discrete structures. The topics to be focused on are set theory, number theory, relations, graphs, and trees. Great emphasis will be focused on methods of mathematical proof: direct proof, induction, contradiction.
Credit Hours: 3
MTH530 - Foundation and Applications of Analysis I
Course Description
Foundation and Applications of Analysis I is a graduate-level course that will provide you with an applied review of analysis principles and implications. You will apply differential and integral calculus, differential equations and analysis of complex variables. In this course, you will cover the first half of the traditional graduate-level Calculus sequence, selected Linear algebra and differential equations concepts. Previous undergraduate coursework (at least 12-credits of undergraduate Calculus) is recommended for success in this course.Â
Credit Hours: 3
MTH531 - Foundation and Applications of Analysis II
Course Description
This graduate-level course provides an overview of analysis principles and implications. The topics covered by this extended course range from higher order differential and integral calculus, to Fourier transforms, partial differential equations and analysis of complex variables. Previous undergraduate coursework (at least 12 credits of undergraduate Calculus) is assumed.
Credit Hours: 3
MTH540 - Higher Geometry
Course Description
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.
Credit Hours: 3
MTH545 - Mathematical Modeling
Course Description
Mathematical Modeling is a graduate-level course in which you will cover several advanced techniques in mathematical modeling. You will focus primarily on simulation using Excel. You will apply these techniques to situations involving exponential growth, compound interest, combat models and disease spread. Previous undergraduate coursework (at least 21-credits of undergraduate mathematics) is recommended for success in this course.
Credit Hours: 3
MTH556 - Advanced Probability and Statistics
Course Description
This graduate-level course will introduce students to a wide range of probability and statistical concepts, with a foundation in calculus. The topics range across probability plots, probability density functions, and point estimates. Students will gain understanding and skills that go well beyond basic undergraduate statistics courses.
Credit Hours: 3