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Course Criteria
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3.00 Credits
A conceptual development of geometry through the investigation of geometric relationships and informal understandings leading to formal deductions. Middle and junior high school emphasis. Prerequisite: consent of instructor.
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3.00 Credits
Problem solving using a variety of reasoning patterns, proof in mathematics, the concept of a mathematical group, and related topics. Open only to students majoring in an elementary education program. Prerequisite: Math 128 or equivalent.
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3.00 Credits
Divisibility, prime numbers, perfect numbers, modular arithmetic, linear Diophantine equations, and related topics. Open only to students majoring in an elementary education program. Prerequisite: Math 128 or equivalent.
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3.00 Credits
The study of special topics in mathematics utilizing microcomputers through an introduction to Logo and the effective use of selected software. Prerequisite: Math 206 and some computer experience, or consent of instructor.
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3.00 Credits
A rigorous study of Euclidean and non-Euclidean geometries. The necessary axioms are introduced and several models including the hyperbolic geometry are examined. Prerequisite: Math 341.
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3.00 Credits
An introduction to the basic properties of groups, rings, and fields. Prerequisite: Math 341.
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3.00 Credits
Matrix algebra, vector spaces, linear independence, bases, linear transformations, canonical forms, inner product spaces. Prerequisite: Math 421 or consent of instructor. Multivariable Calculus. (3) The algebra of functions, continuity, differentiation, and integration of -place functions, and related topics. Prerequisites: Math 231 and 311. Partial Differential Equations. (3) Fourier series, partial differential equations, Bessel and Legendre functions, and transform methods. Numerical techniques illustrated using the computer. Prerequisite: Math 333 or consent of instructor.
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3.00 Credits
Functions of a complex variable including differentiation, integration, series, residues, and conformal mappings. Applications to evaluation of real integrals and boundary value problems. Prerequisite: Math 231.
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3.00 Credits
Topology of the real line, limits, derivatives, integrals, improper integrals, sequences, series; introduction to calculus and functions of several variables. Prerequisites: Math 231 and 341.
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3.00 Credits
A study of teaching strategies and current trends in mathematics education as they apply to the secondary school mathematics curriculum. Credit for teacher certification major only. Prerequisite: 2.50 GPA or higher in mathematics; Math 304, Math 341, and co-registration in EIS 304; or permission of the department chair.
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