• MATH 539: Sem: Differential Equations

  1.00 - 3.00 Credits

  The University of Tennessee - Knoxville

  
  Repeatability: May be repeated. Maximum 12 hours.
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• MATH 545: Real Analysis

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Measure theory, Lebesgue integration, Holder and Minkowski inequalities, Radon-Nikodym theorem, Fubini’s theorem.Recommended Background: One year of advanced calculus.
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• MATH 546: Complex Analysis

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Holomorphic functions, Cauchy's theorem, Maximum Modulus theorem, Schwarz's lemma, normal families, Riemann mapping theorem.(DE) Prerequisite(s): 545.
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• MATH 547: Applied Linear Analysis

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Banach and Hilbert spaces, linear operators and spectral theory, Sobolev spaces, applications.(DE) Prerequisite(s): 545.
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• MATH 549: Seminar: Analysis

  1.00 - 3.00 Credits

  The University of Tennessee - Knoxville

  
  Repeatability: May be repeated. Maximum 12 hours.
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• MATH 550: Linear Algebra for Teachers

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Teaching methodology of solving systems of linear equations with matrices, Gaussian elimination, matrix computations, determinants, vector spaces, subspaces, eigenvalues and eigenvectors, applications.Credit Restriction: May not apply toward mathematics major (Master of Science).Comment(s): For students in Master of Mathematics program and for students in graduate programs in the College of Education, Health, and Human Sciences.
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• MATH 551: Modern Algebra I

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Groups and rings.Recommended Background: One year of undergraduate abstract algebra.
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• MATH 552: Modern Algebra II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Continuation of 551; modules, fields and Galois theory.(DE) Prerequisite(s): 551.
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• MATH 555: Number Theory I

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Introduction to algebraic number theory.Recommended Background: One year of undergraduate abstract algebra.
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• MATH 556: Number Theory II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Continuation of 555.(DE) Prerequisite(s): 555.
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