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Course Criteria
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2.00 Credits
Issues and problems related to current reform in mathematics, including planning curriculum, assessing student learning, managing instruction, and providing for individual needs. Examination of related literature. Prerequisite(s): 800:220. (Variable)
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3.00 Credits
Integrated, historical, and cultural study of development and structure of quantity, data, and chance. Focus on mathematical ways of knowing and verification. (Variable)
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2.00 Credits
Uses of technology in teaching and learning mathematics. Examination of research related to incorporating technology in the teaching of mathematics. (Variable)
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3.00 Credits
Integrated, historical, and cultural study of development and structure of patterns, functions, relationships, and shapes. Focus on ways of knowing and verification. Prerequisite(s): 800:236. (Variable)
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3.00 Credits
Groups: quotient groups, isomorphism theorems, products of groups, group actions, Sylow theorems, solvable and nilpotent groups. Rings and fields: quotient rings, rings of polynomials, integral domains, fields of fractions. Prerequisite(s): 800:162 or consent of instructor. (Offered Fall)
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3.00 Credits
Rings: arithmetic properties, prime and maximal ideals, Noetherian rings. Modules and vector spaces: linear transformations, free modules, finitely generated modules over PIDs, canonical forms. Fields: field extensions, Galois theory, solvability by radicals. Prerequisite(s): 800:240 ( Formerly 800:245) ( Offered Spring)
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3.00 Credits
Topics from combinatorics, graph theory, analysis and application of algorithms, recurrence relations, difference equations, linear programming, and mathematical induction. Applications of these topics in the secondary curriculum. Prerequisite(s): 800:143 or 800:160. (Variable)
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3.00 Credits
Topics from history of algebra, analysis, arithmetic, geometry, number theory, probability, and topology as they appear in the development of Mesopotamian, Greek, Islamic, Indian, Chinese, and Western civilizations. May be repeated on different topic with consent of instructor. Prerequisite(s): 800:180 or 800:185. (Variable)
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3.00 Credits
Topics from the predicate calculus and first-order mathematical theories; the Godel completeness and incompleteness theorems; algebraic and many-valued logic; Boolean algebras, lattices, representation theorems, and models in set theory and mathematical logic; independence of the axioms of set theory (including the axiom of choice and the continuum hypothesis). May be repeated on different topic with consent of instructor. Prerequisite(s): 800:169 or 800:182, depending on the topic. (Variable)
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3.00 Credits
Topics from Euclidean and non-Euclidean geometry: convexity, polyhedra and polytopes, model-making, curves and surfaces, paper-folding, symmetry, history, circle inversion, and other topics at the discretion of the instructor. Prerequisite(s): consent of instructor. (Variable)
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