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Course Criteria
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3.00 Credits
An examination of some of the major topics encountered in the teaching of elementary mathematics with emphasis on number theory, order of operations, definitions of and operations with rational and irrational numbers, estimation, definitions and algorithms of the four operations, numeration systems, bases other than ten, and problem solving. Prerequisite: MTH 1110 or 1112. Note: Credit will not count toward any major or minor in mathematics.
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3.00 Credits
An examination of some of the major topics encountered in the teaching of elementary school geometry with emphasis on measurement, area, volume, congruence, polygons, circles, constructions, motion geometry, polyhedra, and similarity. Prerequisite: MTH 1110 or 1112. Note: Credit will not count toward any major or minor in mathematics.
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3.00 Credits
Examination of a designated topic of special and/or current interest and importance, which is generally not covered in regularly offered courses in the mathematics curriculum.
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3.00 Credits
An introduction to ordinary differential equations. Topics include first order methods, linear equations, the Laplace transforms, systems of equations, and applications. Prerequisite: MTH 2227.
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3.00 Credits
Topics include set theory, equivalence relations and partitions, logic, number systems, functions, and proof writing techniques. Prerequisite: MTH 1126 or permission of instructor.
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3.00 Credits
Axiomatic systems; incidence and separation properties of planes and space; metric and synthetic approaches; geometric inequalities; parallel postulate; area-theory; circles in a plane; models for hyperbolic and elliptic geometries; and constructions
with a straightedge and compass. Prerequisite: MTH 3318 or permission of instructor.
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3.00 Credits
Matrices, systems of equations, determinants, eigenvalues and eigenvectors. Prerequisite: MTH 1126 or permission of instructor.
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3.00 Credits
Differentiation in several variables. Line and surface integrals. Potential theory and differential forms. Prerequisite: MTH 2227.
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3.00 Credits
Topics can include counting, graph theory, partitions, principle of inclusion and exclusion, finite geometries, applications of group theory, recurrence relations, generating functions. Prerequisites: MTH 2227 and 3318.
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3.00 Credits
The elements of the theory and algorithms of graphs and hypergraphs with motivating examples from computer science, networking, scheduling, biology, etc.; algorithms, complexity, data structures, shortest paths, spanning trees, depth-first search, planar graphs, coloring of graphs and hypergraphs. Prerequisites: MTH 3331, computer
programming course, or permission of instructor.
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