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Course Criteria
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3.00 Credits
An introduction to statistics as applied to the natural sciences. Topics include graphical and numerical data analysis of single and multiple variates, confidence intervals and the assumptions required for their development, hypothesis testing and the assumptions required for the tests, and simple linear regression. Prerequisite: MTH 141.
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3.00 Credits
A study of the differential and integral calculus of functions of several variables. Included are vector functions and fields, line integrals, sequences, series and power series. Prerequisite: MTH 151 or appropriate advanced placement credit.
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3.00 Credits
A study of general vector spaces and linear transformations, and their application to the study of differential equations and systems of differential equations. Prerequisites: MTH 141 and 251.
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3.00 Credits
An introduction to the mathematics of basic probability theory and the mathematics of statistical inference. Topics include discrete and continuous random variables, bivariate and multivariate distributions, point estimators, and measures of their quality. Prerequisites: MTH 141, 211 and 251, CS 151.
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3.00 Credits
This course is designed to provide a broad overview of the history of mathematics. It will focus on the central theme of the development of calculus. It will cover the development of algebra, geometry, and trigonometry. As this course is intended for prospective secondary school teachers, most of the mathematics taught in high schools will be discussed. Prerequisite: MTH 251 or permission of instructor.
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3.00 Credits
Number Theory is the study of the most basic of mathematical systems, the natural numbers {1, 2, 3, ...} and the integers {0, 1, -1, 2, -2, ...}. The subject is famous for having a number of easy-to-state conjectures that have resisted all efforts at proof, in some cases for centuries, as well as an abundance of beautiful theorems. Topics for this course include the integers, divisibility, prime numbers, primality testing, factorization methods, congruences, Diophantine problems, arithmetical functions, Fermat’s little theorem, primitive roots, quadratic reciprocity, Diophantine equations, and Fermat’s last theorem. Applications will be drawn from Cryptology and Coding theory . Prerequisites : MTH 141 and 251.
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3.00 Credits
This course explores the development of methods to approximate the solutions to differential equations, zeros of functions, solutions to linear systems of equations, as well as analysis of errors involved in using these methods. Prerequisites: MTH 251 and CS 151.
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3.00 Credits
An examination of the axiomatic foundations of Euclidean geometry, orthogonal circles and inversion. Non-Euclidean geometry and some of its consequences are also studied. This course is open only to those junior and senior mathematics majors who plan to student teach. Students registering for this course must also register for MTH 431 (EDU 431). Prerequisites: MTH 252, EDU 201, PSY 231.
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3.00 Credits
An introduction to the major mathematical methods of operations research. Included are linear programs and methods of solutions, decisions analysis, queuing theory, inventory theory, and an introduction to simulation. Prerequisites: MTH 251 and MTH 211 or MTH 142 and BA 330.
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3.00 Credits
Topics in multi-variable calculus, complex analysis, and partial differential equations; introduction to Fourier analysis. Prerequisite: MTH 252.
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