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Course Criteria
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3.00 Credits
This course aims at showing the student the need for a rigorous, abstract, deductive treatment of geometry. It includes a study of geometry developed without using a parallel postulate and goes on to show how separate geometries evolve when different parallel postulates are added, in turn, to the common body of definitions, axioms, and theorems. Prerequisites: grade of C or better in MA 202.
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3.00 Credits
Modern algebra introduces the student to groups, rings, integral domains, and fields using as examples the ring of integers and the fields of rational, real, and complex numbers. Also included are isomorphisms and homomorphisms. Prerequisite: grade of C or better in MA 202.
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3.00 Credits
Analysis develops the theoretical underpinnings of calculus. The key idea is a precise definition of limit, one which never used the words "infinitely close" or "infinitely small." Using this fundamental definitiowe revisit the ideas of calculus: continuity, the derivative and the integral. In addition, we consider sequences and the topology of the real numbers. Prerequisite: grade of C or better in MA 202.
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3.00 Credits
This course will give an account of how mathematics, one of the oldest of all intellectual instruments, has developed over the past 5000 years. The content will be basically chronological, beginning with the origins of mathematics in the great civilizations of antiquity and progressing through the first few decades of this century. The emphasis will be on mathematics - how its various branches like geometry, trigonometry, algebra, and calculus developed and became interwoven and how famous mathematicians including Pythagoras, Euclid, Fibonacci, Descartes, Newton, Leibniz, Pascal, and Gauss contributed to the development. Prerequisite: Senior standing and at least 27 semester hours of math major credit or 14 semester hours of math minor credit.
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3.00 Credits
This course gives students the opportunity to take electives in areas of special interest to them since the topic covered varies from one semester to the next. Topics selected from both pure and applied mathematics such as real analysis, complex analysis, number theory, set theory, optimization theory, graph theory, coding theory, fractals, and operations research will be taught. This course may be taken more than once provided a different topic is being taken each time. Prerequisite: MA 166 and MA 202 or permission of the instructor. (Offered once every year).
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3.00 Credits
Study topics will be negotiated by the student and his/her advisor.
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4.50 Credits
No course description available.
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3.00 Credits
No course description available.
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3.00 Credits
No course description available.
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0.00 Credits
No course description available.
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