• MATH 435: Partial Differential Equations

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Separation of variables, Fourier series, solution of Laplace, wave, and heat equations.(RE) Prerequisite(s): 231; 241 or 247.
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• MATH 443: Complex Variables

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Introduction to the theory of functions of a complex variable, including residue theory and contour integrals.(RE) Prerequisite(s): 241 or 247.
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• MATH 447: Honors: Analysis I

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Honors-level introduction to the theory of sequences, series, differentiation, and integration of functions of one or more variables. (RE) Prerequisite(s): 341. Comment(s): Or honors mathematics concentration.
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• MATH 448: Honors: Analysis II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Continuation of 447. (RE) Prerequisite(s): 447.
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• MATH 450: Number Theory

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Primes, Diophantine equations, quadratic reciprocity, cryptography, and other topics in number theory. (RE) Prerequisite(s): 351.
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• MATH 451: Abstract Algebra

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Topics in groups, rings, and fields. Credit Restriction: Students who receive a grade of C or better in 457 may not subsequently receive credit for 451. (RE) Prerequisite(s): 351.
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• MATH 453: Matrix Algebra II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Advanced topics in matrix theory, including the Jordan canonical form.(RE) Prerequisite(s): 200 or 251 or 257.
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• MATH 457: Honors: Abstract Algebra I

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Honors version of 455.(RE) Prerequisite(s): 351.
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• MATH 458: Honors: Abstract Algebra II

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Continuation of 457.(RE) Prerequisite(s): 457.
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• MATH 460: Geometry

  3.00 Credits

  The University of Tennessee - Knoxville

  
  Axiomatic and historical development of neutral, Euclidean, and hyperbolic geometry stressing proof technique and critical reasoning. Models of Non-Euclidean geometries.(RE) Prerequisite(s): 300 or 307.
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