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Course Criteria
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3.00 Credits
Contact the department for further information on internships.
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3.00 Credits
Independent study affords students the opportunity to engage in independent study related to their major field, a supporting area, or specialized interest.
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3.00 Credits
Focuses on the development of mathematical ideas relevant to K-12 mathematics. Some examples include episodes in the development of number systems, algebra, geometry, trigonometry, number theory, and analytic geometry. Some time spent on multicultural issues, sometimes referred to as 'ethnomathematics.' Must be at least junior standing to enroll. This class is available for graduate credit.
Prerequisite:
MAT 320 FOR LEVEL U WITH MIN. GRADE OF D OR GPRE FOR MIN. SCORE OF 1
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3.00 Credits
Primarily methods of numerical approximation to the value of functions, polynomials, and systems of equations. Topics include accuracy of approximate calculations, interpolation and interpolating polynomials, solution of algebraic and transcendental equations. Numerical solution of simultaneous linear and nonlinear equations, principle of least squares, difference equations, and quadrature formulas are studied. This class is available for graduate credit.
Prerequisite:
(MAT 212 FOR LEVEL U WITH MIN GRADE OF D AND (CSC 180 OR CPS 180 OR CSC 110 OR CSC 104 OR SWE 100 FOR LEVEL U WITH MIN GRADE OF D)) OR GPRE FOR MIN SCORE OF 1
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3.00 Credits
Introduction to a selection of topics from the related fields of Number Theory and Cryptography. Topics may include congruence arithmetic, primitive roots, quadratic residues, perfect numbers, Pythagorean triples, sums of squares, Fermat's Last Theorem, and primality testing, various substitution ciphers including affine, Vigenere, and Hill ciphers and the RSA public key encryption system with several variations. Algorithms for each encryption scheme discussed will be introduced and implemented. This class is available for graduate credit.
Prerequisite:
MAT 320 FOR LEVEL U WITH MIN. GRADE OF D OR GPRE FOR MIN. SCORE OF 1
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3.00 Credits
Introduction to Partial Differential Equations, a fundamental branch of applied mathematics. Three classical equations from mathematical physics are discussed: the wave equation, the heat equation and Laplace's equation. Techniques which include separation of variables, Fourier series and fundamental solutions are introduced to address these equations. An introduction to numerical methods is also included. This class is available for graduate credit.
Prerequisite:
(MAT 213 FOR LEVEL U WITH MIN. GRADE OF D AND MAT 322 FOR LEVEL U WITH MIN. GRADE OF D) OR GPRE FOR MIN. SCORE OF 1
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3.00 Credits
Detailed study of one or more of the higher level algebraic structures such as groups, rings, fields, or abstract vector spaces. Emphasis on structure theorems such as the fundamental theorem of group homomorphisms and uses the sophistication developed in MAT 320. This class is available for graduate credit.
Prerequisite:
( (MAT 318 FOR LEVEL U WITH MIN. GRADE OF D OR MAT 329 FOR LEVEL U WITH MIN. GRADE OF D) AND MAT 320 FOR LEVEL U WITH MIN. GRADE OF D) OR GPRE FOR MIN. SCORE OF 1
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3.00 Credits
Introductory course in the theory of functions of a complex variable. Topics include complex numbers, analytic functions, contour integration, Cauchy's Theorem, and infinite series. Methods of a logical proof are developed and used throughout. This class is available for graduate credit.
Prerequisite:
(MAT 213 FOR LEVEL U WITH MIN. GRADE OF D AND MAT 320 FOR LEVEL U WITH MIN. GRADE OF D) OR GPRE FOR MIN. SCORE OF 1
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3.00 Credits
Designed to give a fundamental understanding of the concepts used in elementary calculus. Methods of a logical proof are developed and used throughout. Topics include real numbers, sequences, limits, continuity, derivatives and the Riemann integral. This class is available for graduate credit.
Prerequisite:
(MAT 212 FOR LEVEL U WITH MIN. GRADE OF D AND MAT 320 FOR LEVEL U WITH MIN. GRADE OF D) OR GPRE FOR MIN. SCORE OF 1
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3.00 Credits
Concerned with computing within discrete mathematical structures and combinatorial problem solving. Topics include sets and graphs; counting and enumeration techniques including recurrence relations and generating functions; and graph theory algorithms. This class is available for graduate credit.
Prerequisite:
MAT 225 FOR LEVEL U WITH MIN. GRADE OF D OR GPRE FOR MIN. SCORE OF 1
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