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Course Criteria
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3.00 Credits
A study of functional principles and proof techniques. Topics will include statements, consequence, proof, sufficient and necessary conditions, contraposition, induction, sets, relations, functions, cardinality, divisibility, prime numbers, congruence, Fermat's Theorem, counting principles, permutations, variations, combinations, binomial coefficients, graphs, planar and directed graphs, and graph coloring. Prerequisite: A grade of C or better in MAT 150
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1.00 - 3.00 Credits
Topics in mathematics depending on the interests of the student. Prerequisite: Permission of the instructor
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3.00 Credits
This course covers the fundamental concepts of vector spaces, linear transformations, systems of linear equations, and matrix algebra from a theoretical and a practical point of view. Results will be illustrated by mathematical and physical examples. Important algebraic (e.g., determinants and eigenvalues), geometric (e.g., orthogonality and the Spectral Theorem), and computational (e.g., Gauss elimination and matrix factorization) aspects will be studied. Prerequisite: MAT 205 or permission of the department chair
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3.00 Credits
This course is the first part of a two-semester course sequence with MAT 314. This course covers probability, continuous and discrete random variables, distribution and density functions, jointly distributed random variables, sampling, statistical inference, least squares, and regression theory. Prerequisite: MAT 150
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3.00 Credits
This course is the second part of a two-semester sequence with MAT 313. This course covers probability, continuous and discrete random variables, distribution and density functions, jointly distributed random variables, sampling, statistical inference, least squares, and regression theory Prerequisite: MAT 313
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3.00 Credits
A survey of the history of mathematics from antiquity through modern times. Prerequisite: MAT 205
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3.00 Credits
Ordinary differential equations of first-order and first-degree, high order linear ordinary differential equations with constant coefficients, and properties of solutions. Prerequisite: MAT 206, 307
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3.00 Credits
Numerical differentiation, integration, interpolation, approximation of data, approximation of functions, iterative methods of solving nonlinear equations, and numerical solutions of ordinary and partial differential equations. Students are expected to be able to write simple computer programs. Prerequisites: CSC 130 or the equivalent; MAT 206; or permission of the department chair
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3.00 Credits
A survey of Euclidean, non-Euclidean, and other geometries. The emphasis will be on formal axiomatic systems. Prerequisite: MAT 150, 210; or permission of the instructor
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3.00 Credits
An axiomatic treatment of groups, rings, and fields that bridges the gap between concrete examples and abstraction of concepts to general cases. Prerequisites: MAT 206, 210, 307, or permission of the department chair
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