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Course Criteria
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1.00 - 4.00 Credits
Short courses offered on an intermittent basis to meet the needs of special constituents. 1.000 TO 4.000 Credit Hours 1.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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1.00 - 5.00 Credits
Provides opportunity for individual research/study into problems of special interest in the field. By faculty permission and approval of the department chair. 1.000 TO 5.000 Credit Hours 1.000 TO 5.000 Other hours Levels: Undergraduate Schedule Types: Independent Study Science, Math, & Technology College Chem, Comp Sci, and Math Department
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3.00 Credits
An introduction to linear algebra. Typical topics include solutions of systems of linear equations, matrix algebra, determinants, vector spaces, linear independence, span, basis, dimension, coordinates, linear transformations, matrix representations of linear transformations, eigenvalues, eigenvectors, diagonalization, Gram-Schmidt orthonormalization, orthogonal projection, and applications. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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3.00 Credits
An introduction to the theory of groups. Typical topics include sets, mappings, binary operations, equivalence relations, partitions, the integers, induction, the well-ordering property, elementary number theory, cryptography, coding theory, groups (permutation groups, symmetry groups, matrix groups, and cyclic groups), subgroups, cosets, Lagrange's theorem, normal subgroups, homomorphisms, isomorphisms, Cayley's theorem, and isomorphism theorems. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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3.00 Credits
An introduction to the theory of rings and fields. Typical topics include rings, ideals, integral domains, fields, ring homomorphisms, quotient rings, polynomial rings, division algorithms, factorization of polynomials, extensions of fields, finite fields, and Galois theory. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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3.00 Credits
An introduction to the study and application of ordinary differential equations. Typical topics include first order differential equations, linear differential equations, systems of equations, existence and uniqueness of solutions, bifurcations, the Laplace transform, matrix methods, and stability theorems. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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3.00 Credits
3.000 Credit Hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Open Classes Extended Studies College Extended Studies Department
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3.00 Credits
Numerical methods for the solution of mathematical problems and computer application of those methods. Typical topics include the bisection algorithm, fixed point iteration, interpolation, polynomial approximation, numerical differentiation and integration, solution of systems of linear equations, least squares approximation, and error analysis. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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3.00 Credits
An introduction to plane geometry intended for future teachers of mathematics. Typical topics include deductive reasoning and the axiomatic method, Euclidean geometry, parallelism, hyperbolic and other non-Euclidean geometries. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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3.00 Credits
This course traces the historical development of mathematics from ancient to modern times, placing mathematical facts into a meaningful intellectual and historical context. Typical topics include mathematics in early civilization such as Egypt and Babylonia;early Greek mathematics from Euclid to Archimedes; the work of Diophantus; mathematics in medieval Islam and its transmission to the Latin West; the early development of algebra; the analytic geometry of Descartes and Fermat; the development of the calculus at the hands of Newton and Leibniz; the contributions of the Benrouilli family; nineteenth-century analysis from Cauchy to Weierstrass; ninteenth-century algebra from Galois through Klein; the development of non-Euclidean geometry; and Cantor's developments in set theory 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture Science, Math, & Technology College Chem, Comp Sci, and Math Department
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