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Course Criteria
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3.00 Credits
The following topics will be covered in this course: vector spaces, subspaces, bases, dimension, linear dependence and independence, linear transformations, matrices, matrix operations, rank equivalence relations, eigenvalues, eigenvectors.
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4.00 Credits
This course is a continuation of MAT 122 including three dimensional Analytic Geometry, Partial derivatives, Multiple integrals, Vector Calculus, and their applications.
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3.00 Credits
Topics include solution methods and applications of first order differential equations, solution of higher order differential equations using the characteristic equation, the undetermined coefficients and variation of parameters methods, existence and uniqueness theorems for initial value problems, Lap lace transforms, systems of linear differential equations.
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3.00 Credits
Set Theory and Logic
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3.00 Credits
This course is a study of strategies, techniques, materials, technology, and current research used in the teaching of mathematical concepts to high school students. Students will review the traditional and contemporary standards involved in teaching mathematics at the secondary school level; develop an awareness of the professional resources, materials, technology and information available for teachers; prepare unit and lesson plans with related assessment procedures on a variety of topics; and acquire teaching experience by taking part in individual tutoring, observation at a high school, and/or presenting lessons at the appropriate level.
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3.00 Credits
Modern computational algorithms for the numerical solution of a variety of applied mathematics problems are considered. Topics include numerical solution of polynomial and transcendental equations, acceleration of convergence, Lagrangian interpolation and least-squares approximation, numerical differentiation and integration.
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3.00 Credits
The following topics will be covered in these courses: set theory, functions and mappings, permutations, theory of groups, rings and ideals, homomorphisms, integral domains, equivalence classes, residue classes, fields, modules.
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3.00 Credits
This is a first course in a year-long sequence designed for Mathematics majors. The topics include the algebra of sets, probability in finite sample spaces, random variables and probability functions, including the mean, variance, and joint probability functions, the binomial distribution, and applications.
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3.00 Credits
This is the second course in a year-long sequence designed for Mathematics majors. The topics include distribution of random variables, conditional probability and stochastic independence, special distributions including the (t) and (F) distributions, moment generating techniques, limiting distributions, and the central limit theorem.
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3.00 Credits
This course will focus on involving students in current topics or current research interests in Mathematics
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