• MATH 4350: Introductory Combinatorics

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400 or consent of instructor. Topics to be covered include permutations, combinations, multisets, partitions, recurrence relations, generating functions, and the principle of inclusion-exclusion.
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• MATH 4360: Graph Theory

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400 or consent of instructor. Fundamental concepts of undirected and directed graphs, trees, connectivity, traversability, colorability, network flows, and matching theory.
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• MATH 4410: Differential Geometry

  3.00 Credits

  Tennessee Technological University

  
  Prerequisites: C or better in MATH 2110, 2010 and 3400. Geometry of curves and surfaces in three dimensional space. Calculus on surfaces, curvature and Riemannian geometry.
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• MATH 4470: Probability & Statistics I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4470: C or better in MATH 2110; MATH 4480: C or better in MATH 4470. Mathematical foundations of elementary statistical methods, application and theory, probability in discrete and continuous distribution, correlation and regression, sampling distributions, and significance tests.
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• MATH 4480: Probability & Statistics II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4470: C or better in MATH 2110; MATH 4480: C or better in MATH 4470. Mathematical foundations of elementary statistical methods, application and theory, probability in discrete and continuous distribution, correlation and regression, sampling distributions, and significance tests.
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• MATH 4510: Adv Math for Engineers

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 2110 and MATH 2120. Fourier series, Sturm-Liouville problems, orthogonal functions, Legendre polynomials, Bessel functions, separable partial differential equations (e.g. heat, wave and Laplace equations), and other topics.
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• MATH 4530: Linear Algebra I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4530 (5530): C or better in MATH 2010 and MATH 3400; MATH 4540 (5540): C or better in MATH 4530 (5530). A theoretical study of vector spaces, bases and dimensions, subspaces, linear transformations, dual spaces, eigenvalues and eigenvectors, inner product spaces, spectral theory, duality, and quadratic and bilinear forms.
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• MATH 4540: Linear Algebra II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4530 (5530): C or better in MATH 2010 and MATH 3400; MATH 4540 (5540): C or better in MATH 4530 (5530). A theoretical study of vector spaces, bases and dimensions, subspaces, linear transformations, dual spaces, eigenvalues and eigenvectors, inner product spaces, spectral theory, duality, and quadratic and bilinear forms.
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• MATH 4550: Mathematics of Investment I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 1920 or consent of instructor. Topics include examination of annuities, loans, bonds and other securities, portfolio, immunization, interest rate swaps.
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• MATH 4560: Mathematics of Investment II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in both MATH 4550/5550 and MATH 4470/5470, or consent of instructor. Topics include derivative securities, mathematical models of financial risk management, and corporate finance.
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