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Course Criteria
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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 310 and MTH 320 and MTH 801 Description: Foundations and development, evolution and applications in the school curriculum. Connections among content areas. Learning and teaching mathematics. Effective Dates: FALL 1995 - SUMMER 2009
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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 330 and MTH 481 and MTH 801 Restrictions: Open only to graduate students. Description: Foundations and development, evolution and applications in the school curriculum. Connections among content areas. Learning and teaching mathematics. 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 411 or MTH 414 or MTH 415 Description: Block codes, maximum likelihood decoding, Shannon's theorem. Generalized Reed-Solomon codes, modification of codes, subfield codes. Alterant and Goppa codes, cyclic codes and BCH codes. Effective Dates: FALL 1995 - Open
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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 Description: Group theory: Sylow theory, permutation groups, Jordon-Hoelder theory, Abelian groups, free groups. Ring theory: algebra of ideals, unique factorization, polynomial rings, finitely generated modules over PIDs. 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 818 Description: Modules and vector spaces, projectives modules, tensor algebra. Fields and Galois groups, algebraic and transcendental numbers, non-commutative rings. The Jacobson radical, the structure of semisimple rings with the descending chain condition. Effective Dates: FALL 1995 - Open
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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 421 and MTH 461 Description: Lebesgue measure on real line, general measure theory. Convergence theorems, Lusin's theorem, Egorov's theorem, Lp-spaces, Fubini's theorem. Functions of bounded variation, absolutely continuous functions, Lebesgue differentiation theorem. 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 421 and MTH 425 Description: Cauchy theorem, identity principle, Liouville's theorem, maximum modulus theorem. Cauchy formula, residue theorem, Rouche's theorem. Casorati-Weierstrass theorem, Arzela-Ascoli theorem. Conformal mapping, Schwarz lemma, Riemann mapping theorem. 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 441 and MTH 320 and MTH 414) and some experience with mathematical software such as Mathematica or Matlab. Description: Chaotic or random motions in differential and difference equations. Effective Dates: SPRING 2002 - Open 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 414 and MTH 421 Description: Methods for solving boundary and initial value problems for ordinary and partial differential equations. 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 841 Description: Continuation of MTH 841. Effective Dates: FALL 1995 - Open
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