果冻影院

XClose

果冻影院 Module Catalogue

Menu

Dynamical Systems (NSCI0034)

Key information

Faculty
Faculty of Mathematical and Physical Sciences
Teaching department
Natural Sciences
Credit value
15
Restrictions
You will be expected to have some experience of using Python, though you do not need to be highly proficient. You must have already studied some calculus, at least to the level of first order ordinary differential equations. The module is designed for students taking the Natural Sciences programme, but other undergraduates are welcome. There may be limits on the number of students who can be accepted due to the constraints of class size.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

This module covers topics and techniques needed for scientific applications involving systems of ordinary differential equations. Content and examples are tailored towards students who are combining mathematics with scientific study in subject areas including life sciences, earth sciences, chemistry, sustainability.

You will learn to infer the behaviour of dynamical systems by studying their phase plane representation and by investigating the nature and stability of any equilibrium points. This is useful because we can often construct the phase plane even when it is not possible to find an exact solution.

Mathematical ideas that will be developed in this course include techniques of linear algebra such as eigenvalues and eigenvectors, linearization of nonlinear models, and bifurcation analysis for systems involving parameters.听

听

The module is taught through a combination of lectures and workshops. Students who complete this module should be able to:

[1] Analyze and solve linear systems using algebraic and geometric techniques

[2] Produce phase portraits and bifurcation diagrams for autonomous ODE systems, using a combination of analytic and computer-assisted techniques

[3] Make inferences about the behaviour of dynamical systems by looking at phase portraits and bifurcation diagrams.听

Module deliveries for 2024/25 academic year

Intended teaching term: Term 2 听听听 Undergraduate (FHEQ Level 4)

Teaching and assessment

Mode of study
In person
Methods of assessment
30% Coursework
70% Exam
Mark scheme
Numeric Marks

Other information

Number of students on module in previous year
19
Module leader
Dr Ella Metcalfe
Who to contact for more information
natsci@ucl.ac.uk

Last updated

This module description was last updated on 19th August 2024.

听

Useful links

Sustainability

For a list of modules related to climate change as well as social and environmental sustainability at 果冻影院, type 'climate' or 'sustainability' into the search. Visit Sustainable 果冻影院 for information on extra-curricular activity on sustainability.

Important information

The catalogue has been updated with key information about the modules that will run during the 2024/25 academic session. Current and prospective students can browse through the catalogue to consider possible module choices for the coming year.

Please note,听information in the catalogue is听subject to change as teaching and assessment arrangements for 2024/25 may need to be adjusted in line with the University's Feedback and Assessment principles and operating model.

Centrally managed exam durations will be provided on students' individual exam timetables. Arrangements for locally managed timed assessments and in-class activity will be confirmed by the teaching department for the module.

听

听