• MATH 5910: Directed Reading and Conference

  1.00 - 3.00 Credits

  Utah State University

  
  This course consists of directed readings on specific topics. Prerequisite/Restriction: Prior arrangement with a specific instructor. Repeatable for credit.
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• MATH 5950: Honors Senior Project

  1.00 - 4.00 Credits

  Utah State University

  
  A senior project required for completion of the departmental honors program. Prerequisite/Restriction: Instructor permission. (F,Sp,Su)
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• MATH 6110: Differential Geometry

  3.00 Credits

  Utah State University

  
  Topics include manifolds, calculus on manifolds, tensor calculus and differential forms, Lie groups, Riemannian geometry, deRham's Theorem, and Hodge theory. Prerequisite/Restriction: C- or better in MATH 5110 or MATH 5220; MATH 6110 must be completed prior to MATH 6120.
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• MATH 6120: Differential Geometry

  3.00 Credits

  Utah State University

  
  Topics include manifolds, calculus on manifolds, tensor calculus and differential forms, Lie groups, Riemannian geometry, deRham's Theorem, and Hodge theory. Prerequisite/Restriction: C- or better in MATH 5110 or MATH 5220; MATH 6110 must be completed prior to MATH 6120.
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• MATH 6130: Advanced Differential Geometry I

  3.00 Credits

  Utah State University

  
  This course focuses on topics in research-level differential geometry, including abstract manifolds, vector bundles, sheaf cohomology, integration, Lie groups and Lie algebras, and Lie group actions on manifolds. Prerequisite(s): MATH 5110 or MATH 5220 with a C- or better
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• MATH 6140: Advanced Differential Geometry II

  3.00 Credits

  Utah State University

  
  This course focuses on topics in research-level differential geometry, including abstract manifolds, vector bundles, sheaf cohomology, integration, Lie groups and Lie algebras, and Lie group actions on manifolds. Prerequisite(s): MATH 5110 or MATH 5220 with a C- or better
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• MATH 6210: Real Analysis

  3.00 Credits

  Utah State University

  
  Measure theory, abstract integration, differentiation, introduction to functional analysis, Hilbert and Banach spaces. Prerequisite/Restriction: C- or better in MATH 5210; MATH 6210 must be completed prior to MATH 6220.
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• MATH 6220: Real Analysis

  3.00 Credits

  Utah State University

  
  Measure theory, abstract integration, differentiation, introduction to functional analysis, Hilbert and Banach spaces. Prerequisite/Restriction: C- or better in MATH 5210; MATH 6210 must be completed prior to 6220.
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• MATH 6230: Advanced Real and Functional Analysis I

  3.00 Credits

  Utah State University

  
  This course focuses on topics in research-level real and functional analysis, including measure theory, infinite-dimensional linear algebra, and operator theory. Prerequisite(s): MATH 5210 with a C- or better
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• MATH 6240: Advanced Real and Functional Analysis II

  3.00 Credits

  Utah State University

  
  This course focuses on topics in research-level real and functional analysis, including measure theory, infinite-dimensional linear algebra, and operator theory. Prerequisite(s): MATH 5210 with a C- or better
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