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Course Criteria
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4.00 Credits
Parametric equations and curves, Calculus with parametric curves, polar coordinates, conic sections, sequences, series, convergence tests for series, power series, Taylor and Maclaurin series, three dimensional coordinate system, vectors, dot product and cross product. Prerequisite: MATH 252.
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4.00 Credits
Multivariable Calculus including equations of lines and planes, cylinders and quadric surfaces, vector functions, Calculus of vector functions, functions of several variables, partial derivatives, the gradient vector, maximum and minimum values, iterated integrals, multiple integrals, cylindrical and spherical coordinates, triple integrals in cylindrical and spherical coordinates. Prerequisite: MATH 253.
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1.00 - 6.00 Credits
Topics of current interest to students and faculty. Student must have at least sophomore standing to register for this course.
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4.00 Credits
A careful examination of the calculus of single variable functions. Topics include limits, completeness and compactness, sequences and series, continuity and convergence of functions. Prerequisite: MATH 382. Student must have at least sophomore standing to register for this course.
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4.00 Credits
This course examines techniques of solution for ordinary differential equations including first order differential equations, linear differential equations of higher order, Euler's method, linear systems of differential equations and applications. Prerequisite: MATH 252. Student must have at least sophomore standing to register for this course.
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4.00 Credits
An introduction to the techniques of building and analyzing mathematical models. Discrete and continuous models in both scalar and vector systems are examined. Prerequisites: MATH 252 required, STAT 243 and MATH 341 recommended. Student must have at least sophomore standing to register for this course.
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4.00 Credits
A consideration of Euclid's parallel postulate and an introduction to non-Euclidean geometry. Prerequisite: MATH 252 or consent of instructor. Student must have at least sophomore standing to register for this course.
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4.00 Credits
An introduction to linear algebra including systems of linear equations, vector and matrix algebra, determinants, linear transformations, eigenvalues and eigenvectors, and the concepts of basis and dimension. Prerequisite: MATH 252 or consent of instructor. Student must have at least sophomore standing to register for this course.
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4.00 Credits
An introduction to group theory. Topics covered include construction of examples, normal subgroups, factor groups, the homomorphism theorem, and group actions. Prerequisite: MATH 382. Student must have at least sophomore standing to register for this course.
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4.00 Credits
This course examines topics in discrete mathematics at an advanced level. Topics include set theory, relations, graph theory, analysis of algorithms, and enumeration. Prerequisite: MATH 252 or consent of instructor. Student must have at least sophomore standing to register for this course
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