Geometry II: Knots and Surfaces

Queen Mary, University of London

Course Description

  • Course Name

    Geometry II: Knots and Surfaces

  • Host University

    Queen Mary, University of London

  • Location

    London, England

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Course Level Recommendations

    Upper

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • UK Credits

    15
  • Recommended U.S. Semester Credits
    4
  • Recommended U.S. Quarter Units
    6
  • Overview

    Credits: 15.0
    Overlap: None
    Prerequisite: "MTH4101 MTH4103"

    The module provides a first introduction to abstract ideas of differential geometry of curves and surfaces,
    with some elements of knot theory and hyperbolic geometry. Building on experience with vectors in three
    dimensions and elementary calculus, the modules asks what one can say of mathematical interest about an
    arbitrary curve or surfaces. The module starts with the problem of how to tell if a curve or piece of string
    is knotted (other than by pulling it about, ie. mathematically) before moving on to differential geometric
    (calculus based) methods of measuring properties such as 'torsion' and 'curvature' of a curve or surface.
    The module ends with exposure to more abstract hyperbolic surfaces and higher-dimensional spaces defined
    by identifications and symmetries. There will be some proofs.

    Assessment: 10.0% Coursework, 90.0% Examination
    Semester 1 Associate Assessment: 100.0% Coursework
    Level: 5

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