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• MATH 440: Theory Computation

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Presents an introduction to automata, formal languages computability, and computational complexity. Topics include finite automata, pushdown automata, context-free grammars, Turing machines, and algorithmically unsolvable and computationally intractable problems. The course is intended for students interested in the mathematical foundations of computer science theory.
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• MATH 480: Abstract Algebra 1

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Provides an introduction to the language and methods of abstract mathematics. Topics included are: sets, relations, functions, groups, rings and fields. Emphasis is on the elementary theory of groups. The course is intended for mathematics and secondary education/mathematics majors.
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• MATH 482: Real Analysis 1

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Presents a rigorous treatment of the calculus of functions of a single real variable. The course is designed to fill the gaps left in the development of calculus as it is presented in the elementary courses. Topics include an introduction to the topology of the real line and the rigorous development of the concepts of limit, continuity, derivative, and integral.
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• MATH 484: Partial Diff Eq

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Provides a broad overview of partial differential equations, exploring various methods of solution. The topic of boundary value problems will be developed in parallel. The course will equip students who have already completed an introductory course in ordinary differential equations with the tools required to pursue more advanced coursework in mathematics, engineering and the physical sciences.
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• MATH 486: Complex Variables

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Exposes students to a rigorous treatment of complex numbers and an introduction to the theory of functions of a complex variable. Central topics are the complex number system, analytic functions, harmonic functions, and conformal mappings. Additional topics may include power series, contour integration, Cauchy's formula, and applications.
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• MATH 488: Intro to Topology

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Introduces metric spaces; topological spaces; functions and continuity on topological spaces; and the related concepts of compactness, connectedness, and completeness. Optional topics may include homotopy and fundamental groups as well as homology. This course is intended for students in mathematics who wish to pursue research or attend graduate school.
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• MATH 490: Abstract Algebra 2

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Provides additional studies in the language and methods of abstract mathematics, building on the material from Abstract Algebra 1. Topics included are groups, rings, and fields.
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• MATH 492: Real Analysis 2

  3.00 Credits

  Commonwealth University of Pennsylvania

  
  Provides additional explorations in the treatment of the calculus of functions of a single real variable. The course may focus on advanced calculus topics or on abstract analysis. The course is intended to prepare students who will go on to graduate coursework in measure theory, functional analysis, operator theory and other topics related to analysis.
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• MATH 493: Independent Study

  1.00 - 3.00 Credits

  Commonwealth University of Pennsylvania

  
  Focuses upon an area of mathematics mutually agreed upon by the student and the instructor. Emphasizes individual scholarly activity of the highly motivated student.
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• MATH 499: Independent Study

  1.00 - 3.00 Credits

  Commonwealth University of Pennsylvania

  
  Focuses upon an area of mathematics mutually agreed upon by the student and the instructor. Emphasizes individual scholarly activity of the highly motivated student. This course is for students in the honors program and is more in-depth than the non-honors independent study.
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