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Course Criteria
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3.00 Credits
This course examines simple probability models, random variables, discrete and continuous distributions, sampling, elementary hypothesis testing and the power of a test, as well as application of probability to statistical methods. Prerequisite: MATH 215 or instructor approval.
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3.00 Credits
This course introduces students to fundamental mathematical concepts and problem solving skills that are used in both the study of more advanced mathematics topics and in understanding the theoretical basis of today's advanced computer related technologies. These concepts include logic, methods of proof, induction, mathematical reasoning, algorithms, recursion, sets, functions, combinatorics, relations and graphs. Prerequisite: MATH 210 or instructor approval.
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3.00 Credits
This course is a mathematical investigation of the integers. Several methods of proofs including direct substitution, contradiction and mathematical induction will be utilized to establish relationships among integers. Divisibility, prime numbers, Euclidean Algorithm, Diophantine equations, congruences, Chinese Remainder Theorem, Fibonacci numbers, perfect numbers and other topics will be studied. Prerequisite: MATH 210 or permission of the instructor.
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3.00 Credits
A study of non-Euclidean geometry and Euclidean geometry motivated by Euclid's Parallel Postulate. The course features a historical as well as mathematically rigorous approach to geometry. Topics include Euclid' s Parallel Postulate , Hilbert? ? Axioms, Neutral Geometry, Non-Euclidean Geometry and Hyperbolic Geometry. Prerequisite: MATH 200
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3.00 Credits
An introduction to the rigorous treatment of completeness of the real numbers, convergence of sequences, limits and continuity of functions, and differentiation and integration. Prerequisite: MATH 210 or permission of the instructor.
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3.00 Credits
This is a computer-oriented course, introducing students to numerical methods of solutions to mathematical problems and the programming of these methods. Some knowledge of programming is required, along with calculus and elementary matrix theory. Prerequisite: MATH 215 or instructor approval.
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3.00 Credits
This course will trace the history of mathematics from ancient mathematics in 3000 B.C. to the development of the calculus in 1700 A.D. Mathematical concepts to be developed through a historical perspective are: equation solving, ideas of calculus, concepts of geometry, trigonometry, astronomy, probability and statistics, linear algebra, number theory and "modern" algebra. Prerequisite: MATH 210 or permission of the instructor.
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3.00 Credits
An introduction to the study of algebraic systems, including groups, rings and fields, homomorphisms and isomorphisms. Prerequisites: MATH 210 and consent of the instructor.
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1.00 - 3.00 Credits
Special Topics
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