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Course Criteria
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3.00 Credits
This course covers an introduction to big data analysis tools. The course provides an overview of SAS, Hadoop and other big data tools. The course covers the structure and framework of data analytic tools and covers the use of these tools to perform various analyses.
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3.00 Credits
This course is intended to provide the student with an introduction to big data, big data analytics and several methods useful in big data analytics such as clustering, association rules and various forms of regression. SAS statistical software will also be introduced and used to solve data problems.
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3.00 Credits
This course is a rigorous approach to the study of the fundamental proof techniques in mathematics. It will introduce different methods for constructing proofs, including direct proofs, contradiction, contrapositive, and induction. Students will utilize these techniques to construct proofs in a variety of mathematical content areas.
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3.00 Credits
This course investigates the use of technology in teaching mathematics. The approach emphasizes the uses of technology in the mathematics classroom, with a special emphasis on how technology can enhance mathematical thinking and the development of technologically-astute mathematical thinkers.
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3.00 Credits
This course provides an introduction to the theory of linear algebra, emphasizing computations, basic proof techniques, and applications. It covers systems of linear equations, matrices, vector spaces and and subspaces, determinants, linear transformations, bases and dimensions, eigenvalues and eigenvectors, and diagonalization.
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3.00 Credits
This course is an introduction to optimization. Topics to be included are unconstrained optimization, convex sets and convex functions, Broyden's method, and Karush-Kuhn-Tucker conditions. Various applications of these topics will be explored.
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4.00 Credits
This course in multivariable calculus continues Calculus II. Students will solve multi-step problems using two and three dimensional vectors, solid analytic geometry, functions of several variables, multiple integration, and an introduction to vector calculus leading to Green's theorem, the divergence theorem, and Stokes' theorem.
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3.00 Credits
This course introduces the basic concepts, theory methods, and applications of differential equations. Topics include exact equations, linear and nonlinear equations, systems of linear equations, numerical methods, and applications of differential equations in science and engineering.
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3.00 Credits
This course will introduce students to advanced topics in discrete mathematics including solving recurrence relations, counting rules, elements of graph theory, and trees. There will be an emphasis on theoretical aspects of discrete mathematics.
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3.00 Credits
This course develops an axiomatic treatment of Euclidean geometry and introduces topics in non-Euclidean geometry. It focuses on the historical work on the parallel postulate, and it emphasizes rigorous proof and logical methods.
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