Course Search Results

  • MATH 5510: General Topology

    3.00 Credits
    Utah Valley University

    Prerequisite(s): MATH 4510 or MATH 4210 with a grade of C or higher. Introduces the fundamentals of general topology, including topological spaces, separation axioms, continuity, compactness, connectedness, metric spaces, product spaces, metrization and ordinals.
    ShareMATH 5510 - General Topology

  • MATH 6000: Mathematics Core Review

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Department Approval. Reviews essential undergraduate mathematics for students seeking admission to the MS-Mathematics Education program. Reviews Calculus, Linear Algebra, Differential Equations, Geometry, Advanced Calculus, and Modern Algebra. May be graded credit/no credit.
    ShareMATH 6000 - Mathematics Core Review

  • MATH 6100: Topics in Geometry and Topology

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Matriculation into the Mathematics Education, M.S. program or Matriculation into the Mathematics Graduate Certificate program, or approval of graduate program director.. Includes manifolds, fundamental group, classification of surfaces, covering spaces, homotopy types, differential geometry, Riemannian geometry, algebraic geometry, projective geometry, and algebraic topology.
    ShareMATH 6100 - Topics in Geometry and Topology

  • MATH 6210: Real Analysis

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Matriculation into the Mathematics Education, M.S. program or Matriculation into the Mathematics Graduate Certificate program, or approval of graduate program director.. Introduces students to fundamental analytic tools used across all of mathematics. Presents a proof based approach to analysis in Euclidean space and analysis in the general setting of metric spaces. Includes sequences, series, limits in Rn, metric spaces, topology, differentiation, and integration.
    ShareMATH 6210 - Real Analysis

  • MATH 6310: Modern Algebra

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Matriculation into the Mathematics Education, M.S. program or Matriculation into the Mathematics Graduate Certificate program, or approval of graduate program director.. Covers advanced topics from group, ring, and field theory.
    ShareMATH 6310 - Modern Algebra

  • MATH 6330: Advanced Linear Algebra

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Matriculation into the Mathematics Education, M.S. program or Matriculation into the Mathematics Graduate Certificate program, or approval of graduate program director.. Presents a proof and computation based approach to the theory of vector spaces, including bases, dimension, linear transformations, rank-nullity theorem, dual spaces, inner products, and canonical forms.
    ShareMATH 6330 - Advanced Linear Algebra

  • MATH 6350: Introduction to Combinatorics

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Mathematics Endorsement 4, or instructor approval. Enumerates permutations and combinations of sets and multi-sets, inclusion-exclusion, recurrence relations, generating functions, Polya theory, and combinatorial structures.
    ShareMATH 6350 - Introduction to Combinatorics

  • MATH 6410: Topics in Ordinary Differential Equations

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Matriculation into the Mathematics Education, M.S. program or Matriculation into the Mathematics Graduate Certificate program, or approval of graduate program director.. Includes the theory of linear and nonlinear ordinary differential equations and dynamical systems; the initial-value problems and behavior of solutions; the existence, uniqueness, perturbations, continuous dependence of solution on initial conditions, and introduction of nonlinear dynamical systems with applications.
    ShareMATH 6410 - Topics in Ordinary Differential Equations

  • MATH 6610: Numerical Methods and Modeling

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Matriculation into the Mathematics Education, M.S. program or Matriculation into the Mathematics Graduate Certificate program, or approval of graduate program director.. Investigates modelling and numerical topics. Investigates topics from college algebra, calculus, linear algebra, and differential equations from a theoretical as well as numerical perspective. Expounds on algorithms and modelling through software packages in a hands-on approach.
    ShareMATH 6610 - Numerical Methods and Modeling

  • MATH 6620: Topics in Numerical Analysis

    3.00 Credits
    Utah Valley University

    Prerequisite(s): Matriculation into the Mathematics Education, M.S. program or Matriculation into the Mathematics Graduate Certificate program, or approval of graduate program director.. Develops a deeper practical and theoretical understanding of methods used to find approximate solutions to a variety of mathematical problems and of the relationships between these algorithms. Compares accuracy, efficiency, and stability of methods used to solve nonlinear equations and large systems of linear and nonlinear algebraic equations; ordinary and partial differential equations; and to perform numerical differentiation, integration, interpolation and more general approximation of functions. Provides experience programming and applying many of the central algorithms that have powered modern advances in math and the sciences.
    ShareMATH 6620 - Topics in Numerical Analysis