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Course Criteria
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3.00 Credits
This is a course in ordinary differential equations. Topics include first order ordinary differential equations, linear second order ordinary differential equations, systems of differential equations, numerical methods and the Laplace transform.
Prerequisite:
MATH 1042 (0086) with a grade of C or better or transfer credit for MATH 1042 (0086)
Corequisite:
MATH 2043 (0127)
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4.00 Credits
This is a second course in differential equations. Topics include orthogonal polynomials, including Legendre and Chebyshev polynomials, Fourier series, partial differential equations, the boundary value problems and other topics of the instructor’s choice. Note: This course is offered only in odd-numbered years.
Prerequisite:
MATH 3041 (0251) with a grade of C- or higher
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3.00 - 4.00 Credits
Computer arithmetic, pitfalls of computation, iterative methods for the solution of a
single nonlinear equation, interpolation, least squares, numerical differentiation,
numerical integration, and solutions of linear systems by direct and iterative
methods.
Prerequisite:
MATH 2043 (0127), MATH 2101 (0147) or MATH 2103 (0148), and one of C+IN SC 1053 (C061), C+IN SC 1057 (C071), C+IN SC 1068 (0067), or PHYSICS 2501 (0161), all with grades of C- or higher
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3.00 Credits
Solution of systems of nonlinear equations, solution of initial value problems, matrix norms and the analysis of iterative solutions, numerical solution of boundary value problems and partial differential equations, and introduction to the finite element method. Note: Offered in even-numbered years only.
Prerequisite:
MATH 3043 (0253) with a grade of C- or higher
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4.00 Credits
This is a course in ordinary differential equations that emphasizes the use of linear algebra. It has two objectives: 1) to teach students how to solve linear differential equations and systems of linear differential equations, and 2) to introduce students to the linear algebra concepts such as vector spaces, dimension, basis, matrices, eigenvalues and eigenvectors, that play a key role in the theory of linear differential equations.
Prerequisite:
MATH 1042 (0086) with a grade of C or higher or transfer credit for MATH 1042 (0086)
Corequisite:
MATH 2043 (0127)
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4.00 Credits
This is a course in linear algebra with a higher degree of abstraction than a traditional undergraduate linear algebra course. Topics include vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, canonical forms, inner product spaces, and bilinear forms.
Prerequisite:
MATH 3045 with a grade of C- or higher or MATH 2101 (0147) with a grade of C- or higher
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3.00 Credits
An introduction to Euclidean and Noneuclidean geometries with a particular emphasis on theory and proofs. Note: This course is primarily intended for math education majors.
Prerequisite:
MATH 2101 (0147) with a grade of C- or higher or MATH 2103 (0148) with a grade of C- or higher or transfer credit for MATH 2101
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1.00 - 4.00 Credits
Intensive study in a specific area. Note: May be taken in either semester.
Prerequisite:
Approval of the department advisor and the instructor
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1.00 - 4.00 Credits
Intensive study in a specific area. Note: May be taken in either semester.
Prerequisite:
Approval of the department advisor and the instructor
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3.00 Credits
This is a one-semester course in modern algebra that covers topics form group, ring, and field theory. Topics include groups and their basic properties, subgroups, normal subgroups and quotient groups, group homomorphisms, rings, rings of integers and polynomial rings, congruences in the rings of integers and polynomial rings, ideals and quotient rings, ring homomorphism, fields and field extensions, Galois theory.
Prerequisite:
MATH 2196 (W141) or MATH 3003 (0203) with a grade of C- or higher
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