• MATH 6250: Graduate Internship/Cooperative Studies

  1.00 - 6.00 Credits

  Utah State University

  
  Graduate internship/cooperative work experience. Repeatable for credit.
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• MATH 6270: Complex Variables

  3.00 Credits

  Utah State University

  
  Analytic functions, singular points, conformal maps, harmonic functions, analytic continuation, Residue theory. Prerequisite/Restriction: C- or better in MATH 5210 or MATH 5270.
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• MATH 6300: Practicum in Mathematics/Statistics Instruction for Graduates Pursuing Secondary Licensure

  1.00 Credits

  Utah State University

  
  A practicum which provides graduate students pursing a Secondary Mathematics Teaching License with supervised experiences working with secondary students and teachers. To justify graduate credit, students must integrate the extra period required by MATH 6500 with this clinical experience. Students who have credit for a similar practicum at the under graduate level may not apply credit for this experience toward a graduate degree. Should be taken concurrently with MATH 6500. Pass/Fail only. Corequisite:    MATH 6500
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• MATH 6310: Modern Algebra

  3.00 Credits

  Utah State University

  
  Algebraic structures, including vector spaces, groups, rings, algebras, and modules. Topics include: category theory, elementary commutative ring theory, and algebraic geometry. Prerequisite/Restriction: C- or better in MATH 5310; MATH 6310 must be completed prior to MATH 6320.
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• MATH 6320: Modern Algebra

  3.00 Credits

  Utah State University

  
  Algebraic structures, including vector spaces, groups, rings, algebras, and modules. Topics include: category theory, elementary commutative ring theory, and algebraic geometry. Prerequisite/Restriction: C- or better in MATH 5310; MATH 6310 must be completed prior to 6320.
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• MATH 6340: Multilinear Algebra and Matrix Theory

  3.00 Credits

  Utah State University

  
  Permutation groups and representations, tensor spaces, symmetry classes of tensors, generalized matrix functions, matrices and graphs, and combinatorial matrix algebra. Prerequisite/Restriction: C- or better in MATH 5340; MATH 6340 must be completed prior to MATH 6350.
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• MATH 6350: Multilinear Algebra and Matrix Theory

  3.00 Credits

  Utah State University

  
  Permutation groups and representations, tensor spaces, symmetry classes of tensors, generalized matrix functions, matrices and graphs, and combinatorial matrix algebra. Prerequisite/Restriction: MATH 5340; MATH 6340 must be completed prior to 6350. (F) (Sp)
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• MATH 6360: Advanced Multilinear Algebra and Representation Theory I

  3.00 Credits

  Utah State University

  
  This course focuses on topics in research-level multilinear algebra and representation theory, including abstract linear algebra, tensor products, exterior powers, symmetric powers, representations of groups, Lie theory, and connections to algebraic geometry. Prerequisite(s): MATH 5340 with a C- or better
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• MATH 6370: Advanced Multilinear Algebra and Representation Theory II

  3.00 Credits

  Utah State University

  
  This course focuses on topics in research-level multilinear algebra and representation theory, including abstract linear algebra, tensor products, exterior powers, symmetric powers, representations of groups, Lie theory, and connections to algebraic geometry. Prerequisite(s): MATH 5340 with a C- or better
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• MATH 6380: Advanced Algebra I

  3.00 Credits

  Utah State University

  
  This course focuses on topics in research-level algebra, including commutative and non-commutative algebra, homological algebra, and category theory. Prerequisite(s): MATH 5310 with a C- or better
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