• MATH 462: Differential Geometry

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Classical differential geometry of curves and surfaces: Frenet frames, first and second fundamental forms, Gauss curvature and mean curvature, geodesics and parallel transport, the Gauss-Bonet theorem, geometry of the hyperbolic plane. (RE) Prerequisite(s): 241 or 247.
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• MATH 467: Honors: Topology

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Includes topology of line and plane, separation properties, compactness, connectedness, continuous functions, homeomorphisms, continua, and topological invariants.(RE) Prerequisite(s): 300 or 307. (DE) Prerequisite(s): 241 or 247.
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• MATH 471: Numerical Analysis

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Introduction to computation, instabilities, and rounding. Interpolation and approximation by polynomials and piecewise polynomials. Quadrature and numerical solution of initial and boundary value problems of ordinary differential equations, including stiff systems.(Same as Computer Science 471.)(RE) Prerequisite(s): 231; 200 or 251 or 257. (DE) Prerequisite(s): 371.Comment(s): Knowledge of a high-level programming language required.
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• MATH 472: Numerical Algebra

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Direct and iterative methods for systems of linear equations. Solution of a single nonlinear equation and nonlinear systems. Orthogonal decomposition, least squares, and the algebraic eigenvalue problem.(Same as Computer Science 472.)(RE) Prerequisite(s): 231; 200 or 251 or 257. (DE) Prerequisite(s): 371. Comment(s): Knowledge of a high-level programming language required.
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• MATH 475: Industrial Mathematics

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Modeling, analysis, and computation applied to scientific/technical/industrial problems.(RE) Prerequisite(s): 231. Recommended Background: Familiarity with operating system and programming language.
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• MATH 490: Readings in Mathematics

  1.00 - 3.00 Credits

  The University of Tennessee - Knoxville

  
  Open to superior students. Independent study with faculty guidance.Repeatability: May be repeated. Maximum 9 hours. Comment(s): Consent of faculty mentor to supervise independent work required. Registration Permission: Consent of department head.
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• MATH 495: Math Proficiency

  0.00 Credits

  The University of Tennessee - Knoxville

  
  Student will demonstrate proficiency in mathematics. Grading Restriction: Satisfactory/No Credit grading only.
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• MATH 497: Undergrad Honors Seminar

  2.00 Credits

  The University of Tennessee - Knoxville

  
  Forum for presentation of student theses and other undergraduate research projects. Grading Restriction: Satisfactory/No Credit grading only.Comment(s): Other students may register with permission of the instructor. Registration Restriction(s): Honors mathematics concentration only.
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• MATH 498: Senior Honors Thesis

  1.00 - 3.00 Credits

  The University of Tennessee - Knoxville

  
  Students in the mathematics honors program work individually under the direction of a faculty member to write an honors thesis. The thesis must be approved by the departmental honors committee.Repeatability: May be repeated. Maximum 6 hours.
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• MATH 499: Seminar in Mathematics

  1.00 - 3.00 Credits

  The University of Tennessee - Knoxville

  
  Topics vary. Requires out-of-class projects and in-class presentations by students. Students must register for the number of credit hours announced for a particular seminar. Repeatability: May be repeated. Maximum 9 hours. Registration Permission: Consent of instructor.
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