Course Search Results

• MATH U354: Real Analysis I

  3.00 Credits

  University of South Carolina-Upstate

  
  Ordered field properties of the real number system; completeness; theory of limits of sequences, series and functions; continuity (including uniform continuity); introduction to theory of the derivative. Prerequisite: MATH U340 or consent of instructor.
  ShareMATH U354 - Real Analysis I

• MATH U374: Theory of Discrete Math.

  3.00 Credits

  University of South Carolina-Upstate

  
  Topics selected from theoretical Boolean algebra, algebraic structures, theory of computing, advanced set theory, and recursive functions. Prerequisite: MATH U142, MATH U174, or consent of instructor.
  ShareMATH U374 - Theory of Discrete Math.

• MATH U395: Internship

  1.00 Credits

  University of South Carolina-Upstate

  
  Supervised practical experience related to the student's major in Mathematics in an elected setting planned in conjunction with the appropriate faculty member. The course may only be applied for a maximum of three hours as an Upper Level Elective. Prerequisite: Junior Standing or consent of instructor.
  ShareMATH U395 - Internship

• MATH U399: Independent Study

  1.00 Credits

  University of South Carolina-Upstate

  
  No course description available.
  ShareMATH U399 - Independent Study

• MATH U444: Elements of Optimization

  3.00 Credits

  University of South Carolina-Upstate

  
  The methods of the numerical solutions of optimization problems arising in operational research, logistics, economics, etc. Emphasis is on the simplex and Karmarkar's polynomial-time method. Prerequisite: Grade of C or better in both MATH U241 and MATH U344; or consent of instructor.
  ShareMATH U444 - Elements of Optimization

• MATH U501: History of Mathematics

  3.00 Credits

  University of South Carolina-Upstate

  
  A survey of the major developments and procedures of mathematics, from its origins to the modern era, relating development with the diverse cultures and the aspects of mathematics they contributed. Prerequisite: MATH U142 or consent of instructor.
  ShareMATH U501 - History of Mathematics

• MATH U531: Foundations of Geometry

  3.00 Credits

  University of South Carolina-Upstate

  
  Geometry as a logical system based upon postulates and undefined terms; fundamental concepts and relations of Euclidean geometry developed rigorously on the basis of a set of postulates; some topics from non-Euclidean geometry. Prerequisite: MATH U340 or consent of instructor.
  ShareMATH U531 - Foundations of Geometry

• MATH U544: Linear Algebra II

  3.00 Credits

  University of South Carolina-Upstate

  
  Vector spaces, and subspaces; bases and dimension; change of basis; linear transformations and their matrices; diagonalization; canonical forms; bilinear forms; eigenspaces. Prerequisite: MATH U340 and MATH U344.
  ShareMATH U544 - Linear Algebra II

• MATH U546: Modern Algebra II

  3.00 Credits

  University of South Carolina-Upstate

  
  Advanced topics in groups, rings and fields. These topics include p-groups, polynomial rings, ideals, integral domains, extension fields, isomorphism theorems for groups and rings. Prerequisite: MATH U346.
  ShareMATH U546 - Modern Algebra II

• MATH U552: Complex Variables

  3.00 Credits

  University of South Carolina-Upstate

  
  Complex numbers and functions, complex integration, Taylor and Laurent series, residues, and conformal mapping. Prerequisite: MATH U340 or consent of instructor.
  ShareMATH U552 - Complex Variables