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MTH 2251: Mathematical Concepts for K-6 Teachers I
3.00 Credits
Troy University
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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MTH 2252: Mathematical Concepts for K-6 Teachers II
3.00 Credits
Troy University
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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MTH 3300: Selected Topics
3.00 Credits
Troy University
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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MTH 3311: Differential Equations
3.00 Credits
Troy University
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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MTH 3318: Introduction to Advanced Mathematics
3.00 Credits
Troy University
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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MTH 3325: College Geometry
3.00 Credits
Troy University
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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MTH 3331: Linear Algebra
3.00 Credits
Troy University
Matrices, systems of equations, determinants, eigenvalues and eigenvectors. Prerequisite: MTH 1126 or permission of instructor.
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MTH 3364: Vector Calculus
3.00 Credits
Troy University
Differentiation in several variables. Line and surface integrals. Potential theory and differential forms. Prerequisite: MTH 2227.
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MTH 4412: Discrete Mathematics
3.00 Credits
Troy University
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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MTH 4420: Introduction to Algorithmic Graph Theory
3.00 Credits
Troy University
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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