Introduction To Dynamical Systems

King's College London

Course Description

  • Course Name

    Introduction To Dynamical Systems

  • Host University

    King's College London

  • Location

    London, England

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Course Level Recommendations

    Lower

    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

    Introduction To Dynamical Systems
    Module code: 4CCM131A
    Semester: Semester 2 (spring)
    Module description:
    Aims and objectives:
    The course aims to introduce you to the analysis of simple dynamical systems described in terms of first or second order differential equations, emphasising concepts such as phase flow, fixed points, and stability of fixed points. The ideas introduced have applications in biology and economics, as well as in Newtonian mechanics. Newtonian mechanics is taught with emphasis on motion in one spatial dimension, and in that case furnishes examples of so-called second order dynamical systems. Elements of the Hamiltonian approach to Newtonian mechanics are also introduced.
    Pre-requisites: 4CCM111A Calculus I and 4CCM113A Linear Methods
    Syllabus:
    Differential equations; first-order dynamical systems, autonomous systems, phase flow and fixed points; second-order dynamical systems, phase flow, classification of fixed points; kinematics of particle motion, Newton's laws; conservation of energy, conservative forces, motion on a straight line; Hamiltonian systems; elements of Hamiltonian mechanics.
    Books:
    http://myreadinglists.kcl.ac.uk/search.html?q=ccm131
    Credit level: 4
    Credit value: 15
    Assessment: written examination/s; coursework;

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