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Course Criteria
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0.00 - 3.00 Credits
Semester: Fall of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Reenrollment Information: A student may earn a maximum of 6 credits in all enrollments for this course. Recommended Background: Past or concurrent mathematics teaching experience. Description: Curriculum materials, case studies, approaches to teaching and student learning of particular mathematics topics. Interdepartmental With: Science and Mathematics Education, Counseling, Educational Psychology and Special Education, Teacher Education Administered By: Science and Mathematics Education Effective Dates: SPRING 2006 - SUMMER 2009 View all versions of this course
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0.00 - 3.00 Credits
Semester: Fall of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 411 or MTH 482 Description: Enumerative combinatorics, recurrence relations, generating functions, asymptotics, applications to graphs, partially ordered sets, generalized Moebius inversions, combinatorial algorithms. Effective Dates: FALL 1995 - Open
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0.00 - 3.00 Credits
Semester: Spring of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 880 Description: Graph theory, connectivity, algebraic and topological methods. Networks, graph algorithms, Hamiltonian and Eulerian graphs, extremal graph theory, random graphs. Effective Dates: FALL 1995 - Open
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1.00 - 6.00 Credits
Semester: Fall of every year, Spring of every year, Summer of every year Credits:1-6 Reenrollment Information: A student may earn a maximum of 24 credits in all enrollments for this course. Restrictions: Approval of department. Description: Individualized study for Master's level students. Effective Dates: SUMMER 2002 - Open View all versions of this course
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0.00 - 3.00 Credits
Semester: Fall of odd years Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 819 Description: Noetherian rings and modules, localization and tensor products, primary decomposition, Krull dimensions, graded rings and modules, Hilbert's Nullstellensatz, integral extensions, discrete valuation rings, Dedekind domains. Effective Dates: FALL 1995 - Open
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0.00 - 3.00 Credits
Semester: Spring of even years Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 910 Description: Ext and Tor, regular sequences, Cohen-Macauley rings, regular rings, Gorenstein rings, completion, modules of differentials, Cohen's structure theorems. Effective Dates: FALL 1995 - Open
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0.00 - 3.00 Credits
Semester: Fall of even years Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 819 Description: Permutation groups, solvable and nilpotent groups, simple groups. Representation and character theory. Extension theory and cohomology groups. Effective Dates: FALL 1995 - Open
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0.00 - 3.00 Credits
Semester: Spring of odd years Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 912 Description: Groups of Lie type, linear groups, locally finite groups, free groups and free products, the subgroup theorems. Effective Dates: FALL 1995 - Open
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0.00 - 3.00 Credits
Semester: Fall of odd years Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 819 Description: Nilpotent and semisimple algebras, the adjoint representation, root spaces, Weyl groups, Dynkin diagrams, classification of simple algebras. Effective Dates: FALL 1995 - Open
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0.00 - 3.00 Credits
Semester: Spring of even years Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 914 Description: Weights, symmetric spaces, groups of Lie type, finite groups of Lie type, Lang's theorem. Effective Dates: FALL 1995 - Open
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