• MATH 3999R: Group Studies

  1.00 - 9.00 Credits

  The University of Tennessee - Chattanooga

  
  On demand. Prerequisites: department head approval. Department may have additional prerequisite requirements.
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• MATH 4000: The Historical Development of Mathematics

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Examination of central ideas, major developments, and important issues in mathematics from ancient times to the present. Historical overview of the evolution of the discipline through comparative examination of specific theories and results. Prerequisite: MATH 3000 with a minimum grade of C or department head approval.
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• MATH 4010: Basic Concepts of Geometry

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Deficiencies in Euclidean geometry, Euclid’s parallel postulate, introduction to non-Euclidean geometry, consistency and validity of non-Euclidean geometry, incidence geometries, affine geometries, linear, planar, and spatial order properties. Prerequisite: MATH 3000 with a minimum grade of C or department head approval.
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• MATH 4050: Introduction to Point Set Topology

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Introductory set theory, topologies and topological spaces, continuous mappings, compactness, connectedness, separation axioms and metric spaces. Prerequisite: MATH 3000 with a minimum grade of C or department head approval.
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• MATH 4060: Applied Knot Theory

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Introduction to Knot Theory and its applications. Topics include: Seifert surface, genus, linking number, Kauffman bracket polynomial, Jones polynomial, tangles, braids, knotoids, entanglement of open curves in 3-space, entanglement in systems employing Periodic Boundary Conditions, entanglement of random walks, applications to DNA supercoiling, DNA recombination, entanglement in polymer melts and solutions. Prerequistie: MATH 2030 or MATH 3000 with a minimum grade of C, or department head approval.
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• MATH 4130: Introduction to Probability and Statistics

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Introduction to the theory of probability and its applications, counting techniques, discrete and continuous random variables and their distributions, mathematical expectation, moment generating functions. Prerequisite: MATH 2550 or MATH 2560 with a minimum grade of C or department head approval.
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• MATH 4140: Mathematical Statistics

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  A continuation of MATH 4130 with an introduction to the Central Limit Theorem, statistical inference, probability distributions of functions of random variables. Prerequisite: MATH 4130 with a minimum grade of C or department head approval.
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• MATH 4160: Applied Statistical Methods

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  One and two Factor ANOVA, simple and multiple regression and correlation, and time-series analysis. This course is recommended for students planning to take actuarial exams. Prerequisite: MATH 3100 or MATH 4130 or ENGR 2220 with a minimum grade of C, or department head approval.
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• MATH 4170: Nonparametric Statistics

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Theory of distribution-free statistics, ranking statistics, rank correlation, U-statistics, nonparametric point and interval estimation, empirical distribution function methods, combinatorial problems; runs, matching, occupancy; limiting distributions. Prerequisites: MATH 3100 or MATH 4130 or ENGR 2220 with a minimum grade of C or department head approval.
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• MATH 4200: Linear Algebra and Matrix Theory

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Vector spaces, linear transformations, eigenvalue and similarity transformations, orthogonal and unitary transformations, normal matrices, Jordan form. Prerequisites: MATH 2200, MATH 3000 with a minimum grades of C or department head approval.
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