• MATH 4250: Modern Algebra I

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  A study of special topics from advanced algebra, various algebraic structures, and the applications of algebra. On demand. Prerequisite: MATH 3250 with a minimum grade of C or department head approval.
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• MATH 4260: Modern Algebra II

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Rings, ideals, quotient rings, ring homomorphisms, Euclidean domains, unique factorization domains, polynomial rings, automorphisms, field theory and Galois Theory. Prerequisite: MATH 4250 with a minimum grade of C or department head approval.
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• MATH 4270: Elementary Number Theory

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Topics include divisibility, primes and unique factorization, Euclid's algorithm, congruences, arithmetic functions, theorems of Fermat, Euler and Wilson, primitive roots, and quadratic reciprocity. Prerequisite: MATH 3000 with a minimum grade of C or department head approval.
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• MATH 4300: Mathematics of Interest

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Mathematical theory of interest with applications, including accumulated and present value factors, annuities, yield rates, amortization schedules and sinking funds, depreciation, bonds and related securities. Recommended for students planning to take actuarial exams. Prerequisites: MATH 1920 with a minimum grade of C or department head approval.
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• MATH 4310: Mathematical Programming II

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Goal programming, network models, integer programing, dynamic programming, Karmarkar’s method, complexity and convergence analysis of optimization algorithms. Prerequisites: MATH 2030 or MATH 3000 and MATH 3310 with a minimum grade of C or department head approval.
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• MATH 4320: Operations Research II

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Network flows, Markov chains and applications, queuing theory and applications, inventory theory, decision theory and games. Prerequisites: MATH 4310 and either MATH 3100 or MATH 4130 with minimum grades of C or department head approval.
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• MATH 4350: Mathematics of Finance

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Mathematical aspects of finance; theory of pricing derivatives of financial instruments; options in Black-Scholes model; portfolio optimization; capital asset pricing model. Prerequisites: Prerequisites: MATH 3100 or MATH 4130 with a minimum grade of C, or department head approval.
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• MATH 4460: Partial Differential Equations

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Classification and derivation of some elementary partial differential equations arising in applications. Separation of variables, Sturm-Liouville problems and orthogonality, Fourier Series. Diffusion, wave, and Laplace’s equations in various coordinate systems with various boundary and initial conditions. Laplace transform methods and D’Alembert’s solution. First order equations and weak solutions. On demand. Prerequisites: MATH 2450, MATH 2550 with minimum grades of C or department head approval.
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• MATH 4510: Introduction to Analysis II

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  Rigorous development of the derivative, the definite integral, sequences and series of functions, and improper integrals. Prerequisite: MATH 3510 with a minimum grade of C or department head approval.
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• MATH 4530: Calculus of Variations

  3.00 Credits

  The University of Tennessee - Chattanooga

  
  History of the calculus of variations; minimization of functionals; Euler-Lagrange equations; necessary conditions of optimality; sufficient conditions; Sturm-Liouville problem; applications to geometry; direct methods. Prerequisites: MATH 3510 with a minimum grade of C, or the department head approval.
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