• MATH 4610: History of Mathematics I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400. The development of mathematics and its relation to the development of civilization prior to the beginnings of calculus.
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• MATH 4620: History of Mathematics II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400. History of mathematics from the beginnings of calculus through the modern times.
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• MATH 4710: 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, and applications to geometry and mechanics.
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• MATH 4750: Category Theory of Sets

  3.00 Credits

  Tennessee Technological University

  
  Prerequisites: C or better in MATH 3400 (or consent of instructor for MATH 5750). Abstract 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 functoriality of function spaces, Cantor's diagonal argument, powers sets, variable sets, models of additional variation, and selected applications.
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• MATH 4850: 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 for MATH 5850). 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, and decomposition into irreducible varieties.
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• MATH 4860: Comp Algebraic Geometry II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 4850 (5850). Polynomial and rational functions on a variety, projective varieties, the dimension of a variety, selected applications in robotics, automatic theorem proving, and invariant theory of finite groups.
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• MATH 4910: Directed Readings

  1.00 - 3.00 Credits

  Tennessee Technological University

  
  Prerequisite: Consent of instructor. These courses provide an opportunity for individual reading and study under the supervision of a qualified staff member.
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• MATH 4920: Directed Readings

  1.00 - 3.00 Credits

  Tennessee Technological University

  
  Prerequisite: Consent of instructor. These courses provide an opportunity for individual reading and study under the supervision of a qualified staff member.
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• MATH 4950: Topics in Mathematics

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: Consent of instructor. A formal course in any area where there is no other course offering. May be taken more than once provided that the topic is different.
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• MATH 4970: Senior Seminar

  1.00 Credits

  Tennessee Technological University

  
  Prerequisite: Senior standing. Preparation of papers at an advanced level in mathematics to be presented both in writing and orally.
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