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Course Criteria
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3.00 Credits
Selected topics in number theory and types of proofs of use to mathematics, education, and computer sciences majors; a study of divisibility, the division algorithm, Euclid's algorithm, prime numbers, congruence, number theoretic functions, Fermat and Wilson theorems, and quadratic reciprocity. Pre-Requisite: "C" or better in either MAT170 or MAT270 and a "C" or better in MAT202. Offered: Spring Term Previous Course ID- MAT272
Prerequisite:
C or better in MAT170 or MAT270
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3.00 Credits
Ideas of sets, relations and mappings, operations and group theory leading to the fundamental theory of group homorphism, properties of rings, integral domains and fields, including the integers and the rational numbers of polynomials. Offered: Fall Term.
Prerequisite:
MAT 202 and (MAT 170 or MAT 270) (Grade of C or Better for Each Course)
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3.00 Credits
Probability, random variables and probability distributions, mathematical expectation, special probability distributions and probability densities. Functions of random variables, sampling distributions, point estimation, interval estimation, hypothesis testing theory and applications. Stochastic processes. Offered: Spring Term.
Prerequisite:
MAT 225 or MAT 325 (Grade of C or Better for Each Course)
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3.00 Credits
The historical development of mathematics from classical civilization in Egypt, Babylon, and Greece; the people, the topics, and the problems. The development of Mathematics through calculus. Prerequisite: "C" or better in either MAT170 or MAT270 and a "C" or better in MAT202.
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3.00 Credits
Principles and basics styles in solving physical problems with mathematical methods. Specific content depends on the students. Pre-Requisite: "C" or better in MAT260 or MAT301.
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3.00 Credits
An overview of geometry in the light of modern trends with special attention to axiomatic structure, including an introduction to hyperbolic and elliptic geometry. Pre-Requisite: "C" or better in MAT202.
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3.00 Credits
A rigorous development of the methods of the calculus, including the topology of the real line, limits, continuity, derivatives, sequences, and series of numbers, sequences and series of functions, uniform convergence and The Reimann Integral. Pre-Requisite: "C" or better in MAT301. Offered: Fall Term
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3.00 Credits
Vector spaces; linear independence, bases and dimension; inner product spaces and orthogonality; diagonalization, eigenvalues and eigenvevectors; canonical forms, linear functions; dual spaces; linear operators on inner product spaces. Pre-Requisite: "C" or better in MAT303 or MAT313. Previous Course ID - MAT303
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3.00 Credits
The complex numbers, elementary functions and their mappings, boundary value problems, contour mapping, Cauchy's theorem, residues, and power series.
Prerequisite:
MAT 260 or MAT 301 (Grade of C or Better for Each Course)
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12.00 Credits
Students spend 30 clock hours a week during the entire seventh or eighth semester in observation of teaching, in supervised teaching, and in seminar, where they are introduced to a teacher's responsibilities in the classroom and in the community. Pre-Requisite: Permission of Instructor
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