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• MATH 502: Linear Algebra

  4.00 Credits

  Millersville University of Pennsylvania

  
  Systems of linear equations, matrix algebra and determinants; real vector spaces, linear independence, basis and dimension; real inner product spaces, Gram-Schmidt orthogonalization; eigen theory and diagonalization; linear transformations and matrix representation. Prerequisite:    MATH 311; MATH 310/520 recommended. Corequisite:    MATH 311; MATH 310/520 recommended.
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• MATH 503: Probability and Stats for Tchr

  4.00 Credits

  Millersville University of Pennsylvania

  
  A rigorous one-semester study of probability, distribution theory and the basics of statistical inference. Topics include probability, expectation, discrete and continuous distributions, descriptive statistics and both estimation and hypothesis testing for one- and two-sample problems. Prerequisite:    MATH 311.
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• MATH 504: Modern Algebra for Teachers

  3.00 Credits

  Millersville University of Pennsylvania

  
  Algebraic properties of complex number systems, set theory, groups, rings, integral domains and fields. MATH 310/520 and MATH 322/502.
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• MATH 505: Classical & Modern Geometry

  4.00 Credits

  Millersville University of Pennsylvania

  
  Study of geometry from both classical and transformational points of view. The classical part will focus on the axiomatic development of various forms of geometry; the transformational part will focus on the study of geometry in terms of two families of transformations: isometries and similarities. Emphasis on investigating geometry using both classical and transformational approaches and their interactions.
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• MATH 506: Modern Analysis for Teachers

  3.00 Credits

  Millersville University of Pennsylvania

  
  Real number system, limits of sequences and functions, theory of differentiation, Reimann integration, infinite series. Prerequisite:    MATH 310/520, 311, 322/502. MATH 345/504 recommended.
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• MATH 520: Logic and Foundations of Math

  3.00 Credits

  Millersville University of Pennsylvania

  
  Theory of inference, symbolic logic, nature of axiom systems, validity of proofs, consistency, independence, completeness, theory of sets and cardinal numbers.
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• MATH 535: Statistical Methods 1

  3.00 Credits

  Millersville University of Pennsylvania

  
  Survey of statistical methods used in research, education, behavioral science and biomedical applications. Experimental designs discussed regarding advantages, disadvantages, sampling problems and analysis. Regression and analysis of variance. Prereq: An elementary probability or statistics course.
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• MATH 536: Statistical Methods 2

  3.00 Credits

  Millersville University of Pennsylvania

  
  Continuation and extension of statistical methods introduced in Statistical Methods I (Math 535). Advanced topics in analysis of variance, randomized block designs and experimental designs. Prereq: Math 535 or permission of instructor.
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• MATH 537: Statistical Prob Solv Semnr

  1.00 Credits

  Millersville University of Pennsylvania

  
  Capstone course designed to serve as outcome assessment for math majors enrolled in statistics option. Course involves problem solving, data analysis and statistical consulting. Materials drawn from real-world problems. Prerequisite:    Math 535. Corequisite:    Math 536.
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• MATH 566: Complex Variables

  3.00 Credits

  Millersville University of Pennsylvania

  
  Complex number system, analytic functions, elementary functions, contour integration, residues and poles, conformal mapping. Prerequisite:    MATH 506 or equivalent.
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