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Course Criteria
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3.00 Credits
Introduction to groups, rings, and fields as a natural extension of elementary number theory and the theory of equations. Particular emphasis on the study of polynomials with coefficients in the rationals, reals, or complex numbers.
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3.00 Credits
Prereq: Good standing in the University Honors Program or by invitation. For course description, see MATH 310.
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3.00 Credits
Not open to MA or MS students in mathematics or statistics. Fundamental concepts of linear algebra from the point of view of matrix manipulation with emphasis on concepts that are most important in applications. Includes solving systems of linear equations, vector spaces, inner products, determinants, eigenvalues, similarity of matrices, and Jordan Canonical Form.
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3.00 Credits
Prereq: Good standing in the University Honors Program or by invitation. For course description, see MATH 314.
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3.00 Credits
Not open to MA or MS students in mathematics or statistics. Uniform convergence of sequences and series of functions, Green's theorem, Stoke's theorem, divergence theorem, line integrals, implicit and inverse function theorems, and general coordinate transformations.
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3.00 Credits
Prereq: MATH 221. Not open to MA or MS students in mathematics or statistics. Derivation of the heat, wave, and potential equations; separation of variables method of solution; solutions of boundary value problems by use of Fourier series, Fourier transforms, eigenfunction expansions with emphasis on the Bessel and Legendre functions; interpretations of solutions in various physical settings.
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3.00 Credits
Introductory course emphasizing mastery of basic calculus concepts and the development of skill in constructing proofs. Includes mathematical induction, completeness of the real numbers, sequences and series, limits and continuity, derivatives, uniform convergence, Taylor's theorem, integration and the fundamental theorem of calculus.
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3.00 Credits
(3 cr) Prereq: Grade of "Pass" or "C" or better in CSCE 150E or 155/155MATH 208/208H. Credit toward the degree may be earned in only one of the following: CSCE/MATH 340/840 and ENGM 480/880. For course description, see CSCE 340/840.
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3.00 Credits
Lec. Prereq: MATH 310. Open to MATH majors with degree option "E" and to students seeking asecondary mathematics teaching endorsement. Modern elementary geometry, plane transformations and applications, the axiomatic approach, Euclidean constructions. Additional topics vary.
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3.00 Credits
(3 cr) Prereq: MATH 107 or 107H. For course description, see STAT 380.
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