Dynamical Systems

University of Reading

Course Description

  • Course Name

    Dynamical Systems

  • Host University

    University of Reading

  • Location

    Reading, England

  • Area of Study

    Calculus, Geometry

  • Language Level

    Taught In English

  • Prerequisites

    Pre-requisites: MA2OD2 Ordinary Differential Equations II
    Non-modular pre-requisites: (MA2VC or MA3VC as a co-requisite)

  • 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

  • ECTS Credits

    5
  • Recommended U.S. Semester Credits
    3
  • Recommended U.S. Quarter Units
    4
  • Overview

    Summary module description:
    The course addresses the geometric theory of planar dynamical systems.

    Aims:
    To develop an understanding of the elements of nonlinear differential equations and dynamical systems.

    Assessable learning outcomes:
    By the end of the module students are expected to be able to:
    ? analyse the structure of planar nonlinear dynamical systems;
    ? solve appropriate problems in nonlinear dynamics.

    Additional outcomes:

    Outline content:
    The course addresses the geometric theory of planar dynamical systems. This is the study of non-linear differential equations where the simple techniques used in linear equations do not apply and some interesting techniques are used to obtain useful information about nonlinear systems by investigating related linear systems and synthesising the information obtained.

    Brief description of teaching and learning methods:
    Lectures supported by problem sheets

    Other information on summative assessment:
    Four exercise sheets, and one examination paper.

    Formative assessment methods:
    Problem sheets.

    Penalties for late submission:
    The Module Convener will apply the following penalties for work submitted late, in accordance with the University policy.
    where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
    where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

    The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
    You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

    Length of examination:
    2 hours

    Requirements for a pass:
    A mark of 40% overall.

Course Disclaimer

Courses and course hours of instruction are subject to change.

Some courses may require additional fees.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.