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• MATH 423: Complex Variables

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  Introduction to the theory of functions of a complex variable: topics included are elementary functions, analytic functions, conformal mapping, integration, series, and application. Prerequisite:    MATH 225
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• MATH 427: Introduction to Topology

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  Study of sets, functions, continuity, compactness, the separation of axioms, and metric spaces; application of topology to analysis is demonstrated. Prerequisite:    MATH 272 with a grade of C or better
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• MATH 430: Seminar in Teaching Secondary School Mathematics

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  Provides insights into the teaching and learning of numbers and operations, algebra, geometry, measurement, probability, and statistics. Students become aware of and use the resources and methods of instruction for teaching mathematics at the secondary level. Must be taken within two semesters before student teaching.
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• MATH 445: Deterministic Models in Operations Research

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  An introductory course on using the basic tools of solving deterministic models in operations research. Topics include optimization techniques and applications such as linear programming, nonlinear and dynamic programming, transportation models, and network models. In addition, sensitivity analysis, duality, simplex methods, and integer programming are discussed. Students will us technology to solve problems and interpret the results. Prerequisite:    MATH 122 or 225; 171
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• MATH 446: Probabilistic Models in Operations Research

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  A survey of probabilistic methods for solving decision problems under certainty. Probability review, decision theory, inventory models, and Markov chains are covered. Students will use technology to solve problems and interpret the results. Prerequisite:    MATH 122 or 225; 171; 216
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• MATH 447: Modeling and Simulation

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  Construction and solution of mathematical models. Emphasis is on applications in areas such as logistics, natural and social sciences, and manufacturing. Discrete and continuous system models are analyzed using mathematical and computer-based methods. Introduction to computer simulation. An introductory course in differential equations is recommended but not required. Prerequisite:    MATH 122 or 126; 171; 216
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• MATH 448: Introduction to Financial Mathematics

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  A rigorous mathematical treatment of the theory associated with financial transactions is undertaken.Geometric series and other concepts are used to construct mathematical models for analyticallypricing various financial securities based on the time value of money. Studies how to constructmathematical models for pricing cash flows and explores the equivalency of different cash flows.Includes a detailed study of interest theory and financial economics. Prepares students for the Society of Actuaries Financial Mathematics (FM) exam.
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• MATH 450: Topics in Applied Computational Mathematics

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  Focuses on using computational methods to solve applied mathematics problems. Content will vary from year to year. Students will gain experience in solving practical problems, using various mathematical software packages, giving oral presentations, preparing technical reports, reading field-related journals and integrating scientific visualization. Prerequisite:    MATH 171, 225, and COSC/MATH 250 or instructor permission
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• MATH 456: Geometry for Mathematics Instruction

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  A study of curricula, standards, methods, and techniques for teaching mathematics in the secondary schools. Prerequisite:    MATH 152
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• MATH 457: Number Theory for Mathematics Instruction

  3.00 Credits

  Indiana University of Pennsylvania-Main Campus

  
  Introduction to topics of elementary number theory including divisibility, prime numbers, factorization, binary numbers, modular arithmetic, identification codes, cryptography, Diophantine equations, Euclidean algorithm, and alternative algorithms. Explores curricular materials, resources, and activities relevant to teaching number theory at the Elementary/Middle Level. Prerequisite:    MATH 152
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