Course Search Results

  • MATH 5500: Calculus of Variations

    3.00 Credits
    University of Utah

    Introduces the Calculus of Variations and gives an introduction to a range of applications in physics, mechanics, signal processing, and some topics of geometry. Prerequisites: 'C' or better in MATH 2280 OR MATH 2281 OR (MATH 2250 AND (MATH 3140 OR MATH 3150))
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  • MATH 5510: Intro to Topology I

    3.00 Credits
    University of Utah

    Introduction to metric spaces, Lipschitz maps, isometries, group of isometries of the Euclidean plane, surfaces as metric spaces, geodesics, topological spaces, continuity, compactness, connectedness, identification spaces. Prerequisites: "C" or better in MATH 3220.
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  • MATH 5520: Intro to Topology II

    3.00 Credits
    University of Utah

    Surfaces, their topological classification, introduction to algebraic topology through the fundamental group, covering spaces, geometry of the universal covering spaces of surfaces (Euclidean, spherical, hyperbolic), Gauss-Bonnet theorem. Prerequisites: "C" or better in MATH 5510.
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  • MATH 5600: Surv-Numerical Analysis

    4.00 Credits
    University of Utah

    Numerical linear algebra, interpolation, integration, differentiation, approximation (including discrete and continuous least squares, Fourier analysis, and wavelets), initial- and boundary-value problems of ordinary and partial differential equations. Programming experience is necessary prior to taking this course. Prerequisites: 'C' or better in (MATH 1260 OR MATH 1321 OR MATH 2210 OR MATH 2310 OR MATH 3140) AND (MATH 2250 OR MATH 2270 OR MATH 2271)
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  • MATH 5610: Intro Num Analysis I

    4.00 Credits
    University of Utah

    Numerical linear algebra, interpolation, integration, differentiation, approximation (including discrete and continuous least squares, Fourier analysis, and wavelets). Programming experience is necessary prior to taking this course. Prerequisites: 'C' or better in (MATH 1260 OR MATH 1321 OR MATH 2210 OR MATH 2310 OR MATH 3140) AND (MATH 2250 OR MATH 2270 OR MATH 2271)
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  • MATH 5620: Intro Num Analysis II

    4.00 Credits
    University of Utah

    Numerical solution of initial and boundary value problems of ordinary and partial differential equations. Prerequisites: "C" or better in MATH 5610.
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  • MATH 5700: Math Capstone Course

    3.00 Credits
    University of Utah

    The Capstone Course in Mathematics examines secondary school mathematics from an advanced point of view. The topics covered are drawn from Abstract Algebra, Analysis, and Geometry and are rooted in the core secondary curriculum of number and operations, algebra, geometry, and functions. Students learn to generalize definitions and theorems that help to unite and explain mathematics. As they explore familiar secondary mathematic problems from a higher perspective, they draw connections between ideas taught separately in different courses. Through their work in the course, they improve their ability to promote their students' understanding of mathematics and to make better decisions regarding the direction of their lessons and curriculum. Prerequisites: "C" or better in MATH 4030 AND MATH 3100.
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  • MATH 5710: Intro Appl Math I

    3.00 Credits
    University of Utah

    Symmetric linear systems, positive definite matrices, eigenvalue problems, equilibrium equations for discrete and continuous systems, boundary value problems in ODEs and PDEs, boundary integrals. Prerequisites: 'C' or better in (MATH 2250 AND MATH 3150) OR ((MATH 2270 OR MATH 2271) AND (MATH 2280 OR MATH 2281)) OR MATH 3140
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  • MATH 5740: Mathematical Modeling

    3.00 Credits
    University of Utah

    Development of mathematical models for physical, biological, engineering, and industrial phenomena and problems, and their solution using a wide variety of tools. Taught through case studies. Prerequisites: 'C' or better in MATH 2250 OR ((MATH 2270 OR MATH 2271) AND (MATH 2280 OR MATH 2281))
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  • MATH 5750: Topics Appl Math

    3.00 Credits
    University of Utah

    Consult Math Department for specific offering. Possible topics include integral equations, calculus of variations, control theory, continuum mechanics, applied matrix theory, vector and tensor analysis, applications of probability and statistics. Will be offered occasionally on the basis of need or interest. Instructor's Consent.
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