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Course Criteria
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3.00 Credits
3 credit hours (Spring Alternate Years) (Prerequisite: Sophomore standing and GPA of 2.00 in math courses) An introduction to the basic notions of linear algebra: matrices and quadratic forms, vector spaces, linear transformations, determinants, systems of linear equations, linear programming, transformations of matrices, orthogonal bases, Markov chains, and related topics. This course involves the study of abstract as well as concrete vector spaces.
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3.00 Credits
3 credit hours (Fall Alternate Years) (Prerequisite: Sophomore standing and a GPA of 2.00 in math courses) An introduction to the concepts of Modern Algebra including set theory, axiomatic number systems, rings, and group theory. Aspects include subgroups, normal subgroups, factor groups, and some isomorphism theorems.
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3.00 Credits
3 credit hours (Spring Alternate Years) (Prerequisite: MATH-2424) An introduction to the mathematical treatment of questions related to the integers. Fundamental properties of numbers from centuries of mathematical inquiry as well as newer topics in the subject are discussed. Students are given opportunities to develop their ability in methods of proof.
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3.00 Credits
3 credit hours (Prerequisite: MATH-2414) This course provides a foundation for the study of advanced mathematics. Topics explored include sets, relations, functions, cardinality, mathematical logic, and mathematical proofs.
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3.00 Credits
3 credit hours (Spring Only) (Prerequisites: MATH-2434) An introduction to elementary differential equations and methods of solution. Ordinary differential equations of all types are considered together with applications in geometry and the sciences. Numerical methods of solution and partial differential equations are also introduced.
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3.00 Credits
3 credit hours (Prerequisite: MATH-2414) This course introduces selected concepts in discrete mathematic. Topics addressed include logic, number theory, modeling, algorithms, counting techniques, combinatorics, recursion, induction, and graph theory.
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3.00 Credits
3 credit hours (Fall Alternate Years) (Prerequisite: MATH-1113) The history and development of important mathematical concepts and methods, beginning with origins and continuing through the Middle Ages to contemporary developments. Various philosophies of mathematics are also considered with emphasis placed on the development of a Christian philosophy of mathematics.
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3.00 Credits
3 credit hour (Fall Alternate Years) (Prerequisite: MATH-3413; Junior standing) Features guest speakers who introduce a variety of current developments and further educational and career opportunities in mathematics, banking, education and research, government, engineering, insurance and industry. An oral presentation and several written reports will be required.
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3.00 Credits
3 credit hours (Spring Alternate Years) (Prerequisite: MATH-3313) A study of the theoretical basis for analysis. A study of the real number system provides the foundation for a reasonably rigorous development of the calculus of functions of a single variable.
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3.00 Credits
3 credit hours (Fall Alternate Years) (Prerequisite: MATH-2423) An introduction to topics of modern geometry, including a survey of the history of geometry, modern elementary geometry, transformation theory, Euclidean constructions, projective geometry, non-Euclidean geometry, and an analysis of the foundations of geometry.
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