• MATH 5510: Adv Math for Engineers

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 2120 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. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5530: 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 speaces, spectral theory, duality, quadratic and bilinear forms. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5540: 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 speaces, spectral theory, duality, quadratic and bilinear forms. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5550: 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 5560: 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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• MATH 5610: History of Mathematics I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400 (or consent of instructor for MATH 5610). The development of mathematics and its relation to the development of civilization prior to the beginnings of calculus. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5620: History of Mathematics II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400 (or consent of instructor for MATH 5620). History of mathematics from the beginnings of calculus through the modern times. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5710: Vector Analysis

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 2110. The algebra and the differential and integral calculus of vectors; applications to geometry and mechanics. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5750: Category Theory of Sets

  3.00 Credits

  Tennessee Technological University

  
  Prerequisites: C or better in MATH 3400 (or consent of instructor for MATH 5750). Abstracts sets and mappings, categories, sums, universal property, monomorphisms and parts, finite inverse limits, colimits, epimorphisms, the Axiom of Choice, mapping sets and exponentials, covariant and contravariant functionality of function spaces, Cantor's diagonal argument, powers sets, variable sets, models of additional variation, selected applications. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5850: Comp Algebraic Geometry I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisites: C or better in MATH 2010, and C or better in MATH 3400 or equivalent; or consent of instructor. Additional recommended prerequisite: MATH 3510 or any other 4000/5000 level mathematics course in which proofs are required. Affine varieties and polynomial ideals. Groebner bases, elimination theory, Hilbert's Nullstellensatz, Zariski closure, decomposition into irreducible varieties.
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