• MATH 4550: Applied Analysis

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Vector analysis through Stokes’ Theorem and the Divergence Theorem. Topics in advanced calculus including implicit functions, Jacobians, interchange of limit processes, and uniform convergence of series of functions; introduction to power series solutions of differential equations. Prerequisites: MATH 2450, MATH 2550 with minimum grades of C or department head approval.
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• MATH 4570: Introduction to Complex Variables

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Techniques and applications of complex variables. Emphasizes analytic functions, Cauchy's theorem, residue theorem, maximum modulus theorem, Laurent series, classification of singularities, the fundamental theorem of algebra, and conformal mapping. Fall odd years. Lecture 3 hours. Prerequisite: MATH 2560 with a minimum grade of C or department head approval. Standard Letter Grade
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• MATH 4600: Numerical Analysis I

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Numerical solutions of equations in one variable; interpolation and polynomial approximation; numerical differentiation and integration; initial value problems for ordinary differential equations; direct methods for solving systems of linear equations. Prerequisites: MATH 2200 and MATH 2450 with minimum grades of C, and CPSC 1020 or CPSC 1100, or department head approval.
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• MATH 4700: Techniques of Applied Mathematics

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Additional topics in vector calculus; series of orthogonal functions; integral transforms; treatment of some elementary partial differential equations arising in applications. Prerequisites: MATH 2450, MATH 2550 with minimum grades of C or department head approval.
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• MATH 4720: Introduction to Graph Theory

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  An overview of graph theory and its applications including trees, planar graphs and graphical invariants such as domination, coloring, and matchings. Prerequisites: MATH 3000 with a minimum grade of C or department head approval.
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• MATH 4750: Research Seminar

  1.00 Credits

  The University of Tennessee - Chattanooga

  
  Investigation of special topics in mathematics using the directed research technique. On demand. Prerequisite: department head approval. Graded satisfactory/no credit.
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• MATH 4995R: Departmental Thesis

  1.00 - 3.00 Credits

  The University of Tennessee - Chattanooga

  
  On demand. See Departmental Honors. Student must submit an Individual Studies/Research Contract to the Records Office at the time of registration.
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• MATH 4997R: Research

  1.00 - 9.00 Credits

  The University of Tennessee - Chattanooga

  
  Student must submit an Individual Studies/Research Contract to the Records Office at the time of registration. Every semester. Prerequisite: department head approval. Department may have additional prerequisite requirements.
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• MATH 4998R: Individual Studies

  1.00 - 9.00 Credits

  The University of Tennessee - Chattanooga

  
  Student must submit an Individual Studies/Research Contract to the Records Office at the time of registration. Every semester. Prerequisite: department head approval. Department may have additional prerequisite requirements.
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• MATH 4999R: Group Studies

  1.00 - 9.00 Credits

  The University of Tennessee - Chattanooga

  
  On demand. Prerequisite: department head approval. Department may have additional prerequisite requirements.
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