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• MAT 431: TOPOLOGY I

  3.00 Credits

  Kutztown University of Pennsylvania

  
  Set theory; functions; metric spaces; basic topological concepts; topologies and neighborhood systems; open and closed sets; accumulation points and closures; bases and subbases for a topology; separation and connectedness; nets; continuity and homeo-morphisms; compactness; product and quotient spaces.
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• MAT 45: WOMEN IN MATHEMATICS

  3.00 Credits

  Kutztown University of Pennsylvania

  
  This course examines women and minorities who have made significant contributions to the field of mathematics. Both their lives and their work will be explored as well as gender and multicultural issues surrounding their endeavors. Furthermore, mathematical topics related to their contributions will be discussed.
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• MAT 451: INTRODUCTION TO FRACTALS

  3.00 Credits

  Kutztown University of Pennsylvania

  
  Through hands-on activities, computer experiments, visual readings, discussions, and lectures, this course will examine the concepts of iteration, fractals, and chaos, as well as the history and people involved in this fascinating field. The course will begin by looking at the basic concept of iteration: repeatedly applying some specified operation. Iteration leads naturally to, among other things, the geometric representation of a fractal, self-similarity, fractal dimension, and the notion of mathematical chaos. Students will learn concepts from classical mathematics and ways in which these concepts can be applied to model and explain real-world scenarios. Additionally they will be shown that mathematics is a current, active, useful, and dynamic field of study.
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• MAT 460: LINEAR ALGEBRA II

  3.00 Credits

  Kutztown University of Pennsylvania

  
  This course is a study of advanced topics in Linear Algebra. Topics include: review of the properties of vector spaces; study of inner product spaces; factorization of a matrix in QR, diagonalized, and singular value decomposition forms; eigenvalues and eigenvectors of matrices with applications to solving differential equations; positive definite matrices and their applications; and numerical linear algebra.
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• MAT 470: SEL TPS IN MATHEMATICS

  3.00 Credits

  Kutztown University of Pennsylvania

  
  This course is designed to provide mathematics students an in-depth study of a topic in mathematics that is not normally covered in the curriculum. May be repeated with different topics.
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• MAT 473: PARTIAL DIF EQUATIONS

  3.00 Credits

  Kutztown University of Pennsylvania

  
  Equations of first order, Hamilton-Jacobi theory; the Cauchy Problem; the Dirichlet and Newman problems, Existence Theorems; Green's Functions; Equations of mathematical physics; integral equations.
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• MAT 490: ADV DIRECTED READ & RES MATH

  1.00 - 3.00 Credits

  Kutztown University of Pennsylvania

  
  This course involves individual independent study in mathematics under the direction of a mathematics faculty member. This study can be carried out in any area of mathematics or its application that is not a topic covered in depth in any regular mathematics course offering at the University. The student works with a faculty tutor who advises the student in choice of material. This course may be repeated for a total of up to six semester hours and for a total of up to 6 credits cumulative combined with credits from MAT 190, 290, and 390.
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• MAT 501: RESEARCH SEMINAR

  1.00 - 6.00 Credits

  Kutztown University of Pennsylvania

  
  RESEARCH SEMINAR
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• MAT 506: INSIGHTS INTO MATHEMATICS

  3.00 Credits

  Kutztown University of Pennsylvania

  
  INSIGHTS INTO MATHEMATICS
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• MAT 510: BASIC CONCEPTS IN MATH

  3.00 Credits

  Kutztown University of Pennsylvania

  
  BASIC CONCEPTS IN MATH
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