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MATH 334: Mathematics History
3.00 Credits
University of the Cumberlands
This course provides the student with the opportunity to study the development of mathematics from the ancient Babylonians to the present day from a historical point of view. An in-depth study is made of the Greek contribution and of the mathematical revolution of the l7th and l8th centuries. Credit, 3 hours. This restricted elective course will be offered on demand.
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MATH 335: Introduction to Probability and Statistics
3.00 Credits
University of the Cumberlands
The purpose of this course is to acquaint the student with the basic concepts of statistics and probability and how they are used in handling data. Prerequisite: MATH 132. Credit, 3 hours. Offered fall and spring semesters.
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MATH 430: Differential Equations
3.00 Credits
University of the Cumberlands
First order ordinary differential equations are studied, followed by differential equations of high order. Prerequisite: MATH 241. Credit, 3 hours. Offered spring semesters.
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MATH 431: Abstract Algebra
3.00 Credits
University of the Cumberlands
Topics covered include structure of the number systems, groups, mappings, rings, fields, sets, and metrics. Prerequisite: MATH 241 or consent of instructor. Credit, 3 hours. Offered fall semesters.
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MATH 432: Linear Algebra
3.00 Credits
University of the Cumberlands
Topics covered include topics from classical algebra, vector spaces, linear transformations, change of bases, orthogonality, determinants, eigenvalues, and eigenspaces. Prerequisite: MATH 241 or consent of instructor. Credit, 3 hours. Of- fered spring semesters.
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MATH 433: Discrete Mathematics
3.00 Credits
University of the Cumberlands
Topics will include symbolic logic, functions, cardinality, proofs, mathematical induction, pigeonhole principle, permutations, combinations, trees, and graphs. Prerequisite: MATH 241 or consent of instructor. Credit, 3 hours. Offered spring semesters.
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MATH 433 - Discrete Mathematics
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MATH 435: Mathematical Statistics
3.00 Credits
University of the Cumberlands
This is an introduction to discrete and continuous distributions, expected values and moments, special probability distributions and densities. Prerequisite: MATH 241. Credit, 3 hours. Offered on demand.
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MATH 436: Real Analysis I
3.00 Credits
University of the Cumberlands
This is the study of partial differentiation, application of partial differentiation, line and surface integrals, and Fourier series. Prerequisite: grade of "C" or better in MATH 241. Credit, 3 hours. Offered fall semesters.
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MATH 437: Real Analysis II
3.00 Credits
University of the Cumberlands
Topics covered are point set theory, sequences, limits, continuity, and uniform continuity. Prerequisite: MATH 436. Credit, 3 hours. Offered spring semesters.
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MATH 490: Topics in Mathematics
3.00 Credits
University of the Cumberlands
Topics are generally selected from complex variables, number theory, numerical analysis, and problems research in mathematics or mathematics education. Enrollment in this course is open only to mathematics majors and minors. Prerequisite: MATH 241. Credit, 1 to 3 hours each topic. A topics course is offered on demand.
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