• MATH 526: Statistics II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Continuation of 525. Estimation and tests in general linear models; non-parametric models, rank methods for comparison, robust tests. Other topics as selected by instructor.(DE) Prerequisite(s): 525.
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• MATH 527: Stochastic Modeling

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Variable topics in probability applied to real world situations. Topics may include queuing theory, branching processes, Monte Carlo simulation, stochastic finance and other topics as selected by instructor.Recommended Background: One year of advanced calculus and one year of undergraduate probability or mathematical statistics.
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• MATH 529: Seminar: Stochastics

  1.00 - 3.00 Credits

  The University of Tennessee - Knoxville

  
  Repeatability: May be repeated. Maximum 12 hours.
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• MATH 530: Differential Equations/Teachrs

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Elementary solution techniques for differential equations. Existence and uniqueness of solutions. Laplace transform. Series solutions. Systems of differential equations, stability and phase plane analysis.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 531: Ordin Differential Equat I

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Existence, uniqueness, extendibility, and dependence on parameters for solutions of differential equations. The theory of linear systems of differential equations including boundary value problems and series methods. Recommended Background: One year of advanced calculus and undergraduate differential equations.
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• MATH 532: Ordin Differential Equat II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Continuation of 531. The nonlinear theory of differential equations including Liapunov stability, critical point analysis, and Poincare-Bendixson theory.(DE) Prerequisite(s): 531.
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• MATH 534: Calculus of Variations

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Necessary and sufficient conditions for weak and strong extrema in one-dimensional variation problems; Lagrangian mechanics. Multiple integrals. Basic elements of direct methods.Recommended Background: At least one senior-level course in differential equations or advanced calculus. Mathematical maturity.
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• MATH 535: Partial Differential Equat I

  3.00 Credits

  The University of Tennessee - Knoxville

  
  First order partial differential equations, classification of second order partial differential equations, properties of elliptic, parabolic and hyperbolic partial differential equations.Recommended Background: One year of advanced calculus.
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• MATH 536: Partial Differential Equat II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Continuation of 535. Properties and representation formulas for elliptic, parabolic and hyperbolic partial differential equations.(DE) Prerequisite(s): 535.
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• MATH 537: Math Princ/Continuum Mech I

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Conservation principles, equations of equilibrium and motion for fluids and elastic solids, constitutive relations and stress, convexity properties, bifurcation phenomena, existence theory.Recommended Background: Courses in advanced calculus and advanced differential equations.
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