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• MATH 312: Sftware for Multivariable Calc

  1.00 Credits

  Millersville University of Pennsylvania

  
  This course will introduce students to a computer algebra system and programming language of use in understanding multivariable calculus. Assuming no prior experience with this software, the students will learn how to evaluate algebraic expressions, plot functions and perform many operations common in calculus, such as integration and differentiation. Students will develop skills with this software that are useful for the visualization and manipulation of multivariable and vector-valued functions. Corequisite:    C- or higher in MATH 311.
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• MATH 319: Calculus and Acturl Prbl Slvg

  1.00 Credits

  Millersville University of Pennsylvania

  
  An extension and synthesis of the calculus sequence that provides students with the problem-solving skills emphasized in such examinations as the Society of Actuaries Exam 1. Does not count as an upper-division elective for the mathematics major or minor. Prerequisite:    C- or higher in MATH 311.
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• MATH 322: Linear Algebra 1

  4.00 Credits

  Millersville University of Pennsylvania

  
  A rigorous introduction to linear algebra. Includes systems of linear equations, matrix algebra, determinants, vector spaces, inner product spaces geometry in Rn, linear transformations, orthogonal transformations, eigentheory and diagonalization. Prereq or coreq: C- or higher in MATH 311; MATH 310 recommended. Credit will not be given for this course and MATH 304. MATH 322 is intended for mathematics majors and is more theory and proof-based. MATH 304 is more application oriented and intended for computer science or data science majors
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• MATH 325: Mathematical Connections

  3.00 Credits

  Millersville University of Pennsylvania

  
  Mathematical Connections is a 3-credit required course for BSE mathematics majors. Pre-service secondary mathematics teachers (middle and high school) will explore the nature of the mathematics that they will teach through the lens of the undergraduate mathematics courses that they have taken as part of their required program. Mathematical topics will include number systems, functions, number theory, trigonometry, geometry (Euclidean and non-Euclidean), calculus, and statistics. The course will include an examination of concept analysis, problem analysis and mathematical connections between standard secondary mathematics content and post-secondary mathematics coursework. The course will actively involve pre-service teachers in a productive dialogue about and rigorous investigation into the mathematics that they will teach. Prerequisite:    C- or higher in MATH 333, and MATH 345, and MATH 354 or permission of instructor. Corequisite:    C- or higher in MATH 333, and MATH 345, and MATH 354 or permission of instructor.
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• MATH 333: Probablity and Statistics

  4.00 Credits

  Millersville University of Pennsylvania

  
  Designed for mathematics education majors. A rigorous study of probability, distribution theory and the basics of statistical inference. Includes probability, expectation, discrete and continuous distributions, descriptive statistics and both estimation and hypothesis testing for one- and twosample problems. Credit will not be granted for both MATH 333 and MATH 335. Prerequisite:    C- or higher in MATH 311.
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• MATH 335: Mathematical Statistics 1

  3.00 Credits

  Millersville University of Pennsylvania

  
  Probability, random variables and probability distributions, mathematical expectation, special probability distributions and probability densities. MATH 335 may be considered as an introductory course in probability theory. Offered in fall. Credit will not be granted for both MATH 333 and MATH 335. Prerequisite:    C- or higher in MATH 311.
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• MATH 345: Abstract Algebra 1

  3.00 Credits

  Millersville University of Pennsylvania

  
  Groups, rings, fields, integral domains. Emphasis on structure of algebra. Prerequisite:    C- or higher in MATH 310 and 322.
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• MATH 353: Survey of Geometry

  3.00 Credits

  Millersville University of Pennsylvania

  
  Various examples of axiom systems, axiomatic development of Neutral Geometry followed by Euclidean and Hyperbolic Geometry. Models for Euclidean and Hyperbolic Geometry. Emphasis on proving geometic theorems, both orally and in writing. Prerequisite:    C- or higher in MATH 310 and 322 or permission of instructor.
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• MATH 354: Geometry: Classical & Transfor

  4.00 Credits

  Millersville University of Pennsylvania

  
  Geometry from both classical and transformational points of view. The classical part of the course will focus on the axiomatic development of neutral geometry followed by Euclidean and hyperbolic geometry. The transformational part of the course will begin with the study of two families of transformations: isometries and similarities, followed by the investigation of various geometric theorems in terms of these two families of transformations. Emphasis on proving geometric theorems using both classical and transformational approaches. Prerequisite:    C- or better: MATH 310 and MATH 322.
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• MATH 355: Transformational Geometry

  3.00 Credits

  Millersville University of Pennsylvania

  
  The study of geometry from a transformational point of view. The group of affine transformations, with the subgroups of similarities and motions, is studied with investigation of invariant properties. Some exposure to transformations in the complex plane. Prerequisite:    C- or higher in MATH 310 and 322 or permission of instructor.
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