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• MATH 4260: Abstract Algebra I

  3.00 Credits

  Pennsylvania Western University

  
  This course will provide the student with an introduction to the topics of abstract algebra, including groups, rings, and fields. In addition, this course will further develop the student's problem-solving skills and ability to follow and to construct a rigorous mathematical proof.
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• MATH 4270: Abstract Algebra II

  3.00 Credits

  Pennsylvania Western University

  
  This course continues the development of algebraic themes introduced in MATH 4260. Topics include groups, rings, fields, vector spaces, and/or modules.
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• MATH 4280: Topology

  3.00 Credits

  Pennsylvania Western University

  
  This course is an introduction to point-set topology. Topics to be included are topological spaces, continuous functions, open sets, closed sets, compact sets, and connectivity. Various applications of these topics will be explored.
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• MATH 4310: Numerical Methods I

  3.00 Credits

  Pennsylvania Western University

  
  This course covers numerical methods in polynomial interpolation, root finding of nonlinear equations, numerical integration and differentiation, approximation of functions and curve-fitting, and numerical linear algebra. Computer implementation of numerical methods will be used.
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• MATH 4320: Numerical Methods II

  3.00 Credits

  Pennsylvania Western University

  
  This course covers numerical methods in the solution of ordinary and partial differential equations, numerical differentiation, Runge-Kutta methods, iterative methods for ordinary differential equations, and finite differences for partial differential equations.
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• MATH 4410: Real Analysis I

  3.00 Credits

  Pennsylvania Western University

  
  This course introduces the basic theory underlying the calculus of a function of a single variable. It develops a deeper appreciation and understanding of several important definitions and theorems in calculus. The emphasis is on examples and appropriate proof techniques.
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• MATH 4420: Real Analysis II

  3.00 Credits

  Pennsylvania Western University

  
  This course is a continuation of MATH4410, Real Analysis I. Topics include Riemann Integration, Infinite Series, Sequences and Series of Functions, and Power Series.
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• MATH 4450: Complex Analysis

  3.00 Credits

  Pennsylvania Western University

  
  This course covers the basics of analysis over the complex numbers. It develops the analogues to differentiable and integrable functions from real analysis in the new setting with startlingly different results. The course emphasizes both computation and appropriate techniques of proof.
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• MATH 4900: Senior Math Seminar

  1.00 Credits

  Pennsylvania Western University

  
  This course is designed as a senior capstone experience with the intent of encouraging several aspects of independent research in mathematics: selection of problems either by the instructor or by the student with the instructor's approval, discussion, and presentation.
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• MATH 6100: Data Preparation and Cleaning

  3.00 Credits

  Pennsylvania Western University

  
  This course provides students with an introduction to the need for and methods for data cleaning. The course presents methods for locating and handling invalid values, out-of-range values, and missing values along with methods for managing datasets. The course uses SAS software.
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