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Course Criteria
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3.00 Credits
An introduction to number theory, including divisibility, primes, the fundamental theorem of arithmetic, arithmetic functions and congruencies. Additional topics from these areas, as well as diophantine equations and the theory of real numbers, will be included as time permits. Designed to extend the student's abilities to read mathematics and write proofs. S. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 295
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3.00 Credits
A continuation of MATH 207, including topics from graph theory, trees and relations. If time permits, additional topics may be chosen from finite automata and languages. F. S NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 203 OR MATH 207
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3.00 Credits
The theoretical underpinnings of the calculus of functions from R to R. Topics will include sequential limits, the completeness of R and related theorems (Heine-Borel, Bolzano-Weierstrauss, etc.), function limits, continuity and uniform continuity, differentiability, Riemann integrability and the Fundamental Theorem of Calculus. F. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 221 AND MATH 295
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3.00 Credits
An introductory course in complex variables with applications, beginning with complex numbers and continuing through the calculus of complex analytic functions, extending to the complex number system what has been learned thus far from the calculus on the real number system. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
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3.00 Credits
Number systems, historical problems of geometry, development of modern concepts in algebra, analytic geometry and calculus. S. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 295
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3.00 Credits
An introductory course designed to acquaint students with methods used in computing and analyzing the quantitative and qualitative behavior of solutions of ordinary differential equations. Applications of ordinary differential equations will also be discussed. Among the topics to be covered are: first-order and higher-order linear equations, simple numerical methods, the Laplace transform, eigenvalue techniques, systems of equations and phase plane analysis. F, S, Su. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 221 AND MATH 203
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3.00 Credits
An axiomatic development of Euclidean geometry, with topics from non-Euclidean geometry and projective geometry as time allows. F. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 295
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3.00 Credits
Statistical methods with topics selected from regression, correlation, analysis of variance, non-parametric statistics, and other models. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
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0.00 Credits
A student works under faculty supervision to learn a research method, to explore possible research topics, or to continue an ongoing study. The faculty member helps the student to determine the course goals and objectives, and supervises the execution of project. The student will provide a written report to the faculty at the end of the semester. Students will receive a grade of "S" (satisfactory) or "U" (unsatisfactory) for the course. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
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3.00 Credits
Individual instruction given by a tutor in regularly scheduled meetings (usually once a week). NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
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