澳门六合彩开奖记录

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MA3DSA: Dynamical Systems and Applications

澳门六合彩开奖记录

MA3DSA: Dynamical Systems and Applications

Module code: MA3DSA

Module provider: Mathematics and Statistics; School of Mathematical, Physical and Computational Sciences

Credits: 20

Level: Level 3 (Honours)

When you'll be taught: Semester 2

Module convenor: Dr Peter Chamberlain, email: p.g.chamberlain@reading.ac.uk

Module co-convenor: Professor Marcus Tindall, email: m.tindall@reading.ac.uk

Pre-requisite module(s): BEFORE TAKING THIS MODULE YOU MUST TAKE MA2DE OR TAKE MA2DE2NU (Compulsory)

Co-requisite module(s):

Pre-requisite or Co-requisite module(s):

Module(s) excluded: IN TAKING THIS MODULE YOU CANNOT TAKE MA4DSA (Compulsory)

Placement information: NA

Academic year: 2024/5

Available to visiting students: Yes

Talis reading list: Yes

Last updated: 21 May 2024

Overview

Module aims and purpose

This module will provide an introduction to the analysis of dynamical systems and their application to real-world problems. The module will first take a look at two variable linear systems of ordinary differential equations (ODEs) before moving onto nonlinear ones, investigating the overall system dynamics via steady-state stability and phase plane analysis. Applications of the relevant theory will then be applied in the second half of the module to biological problems covering population growth, cell systems, the spread of infectious diseases before closing with a look at the dynamical behaviour of nonlinear partial differential equation (PDE) models describing biological waves and patterns.

Module learning outcomes

By the end of the module, it is expected that students will聽be able to:

  1. Analyse the structure of planar nonlinear dynamical systems;
  2. Apply steady-state stability and phase plane analysis;
  3. Apply the analysis of nonlinear dynamical systems to problems in biology; and
  4. Utilise聽the results of mathematical analysis, provide insight into biological systems.

Module content

  • Steady-state stability analysis
  • The phase plane - Plotting phase fields and trajectories
  • Analysing systems of 2 first order linear ODEs
  • Analysing systems of 2 first order nonlinear ODEs
  • Single species population models
  • Two species population models
  • Mathematical models of cell regulation
  • Understanding the spread of infectious diseases
  • Analysing nonlinear PDE models of biological phenomena (e.g. genetic variation)
  • Pattern formation and Turing systems

Structure

Teaching and learning methods

The material is delivered via lectures supported by tutorials with formative exercises. Feedback on formative exercises will be provided to support learning.

A weekly one hour online office hour complemented with some short screencasts on specific chosen topics, where relevant.

Study hours

At least 50 hours of scheduled teaching and learning activities will be delivered in person, with the remaining hours for scheduled and self-scheduled teaching and learning activities delivered either in person or online. You will receive further details about how these hours will be delivered before the start of the module.


聽Scheduled teaching and learning activities 聽Semester 1 聽Semester 2 听厂耻尘尘别谤
Lectures 40
Seminars
Tutorials 10
Project Supervision
Demonstrations
Practical classes and workshops
Supervised time in studio / workshop
Scheduled revision sessions
Feedback meetings with staff
Fieldwork
External visits
Work-based learning


聽Self-scheduled teaching and learning activities 聽Semester 1 聽Semester 2 听厂耻尘尘别谤
Directed viewing of video materials/screencasts
Participation in discussion boards/other discussions
Feedback meetings with staff
Other
Other (details)


聽Placement and study abroad 聽Semester 1 聽Semester 2 听厂耻尘尘别谤
Placement
Study abroad

Please note that the hours listed above are for guidance purposes only.

聽Independent study hours 聽Semester 1 聽Semester 2 听厂耻尘尘别谤
Independent study hours 150

Please note the independent study hours above are notional numbers of hours; each student will approach studying in different ways. We would advise you to reflect on your learning and the number of hours you are allocating to these tasks.

Semester 1 The hours in this column may include hours during the Christmas holiday period.

Semester 2 The hours in this column may include hours during the Easter holiday period.

Summer The hours in this column will take place during the summer holidays and may be at the start and/or end of the module.

Assessment

Requirements for a pass

Students need to achieve an overall module mark of 40% to pass this module.

Summative assessment

Type of assessment Detail of assessment % contribution towards module mark Size of assessment Submission date Additional information
In-person written examination Exam 100 3 hours Semester 2, Assessment Period

Penalties for late submission of summative assessment

The Support Centres will apply the following penalties for work submitted late:

Assessments with numerical marks

  • where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of three working days;
  • the mark awarded due to the imposition of the penalty shall not fall below the threshold pass mark, namely 40% in the case of modules at Levels 4-6 (i.e. undergraduate modules for Parts 1-3) and 50% in the case of Level 7 modules offered as part of an Integrated Masters or taught postgraduate degree programme;
  • where the piece of work is awarded a mark below the threshold pass mark prior to any penalty being imposed, and is submitted up to three working days after the original deadline (or any formally agreed extension to the deadline), no penalty shall be imposed;
  • where the piece of work is submitted more than three working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

Assessments marked Pass/Fail

  • where the piece of work is submitted within three working days of the deadline (or any formally agreed extension of the deadline): no penalty will be applied;
  • where the piece of work is submitted more than three working days after the original deadline (or any formally agreed extension of the deadline): a grade of Fail will be awarded.

The University policy statement on penalties for late submission can be found at: /cqsd/-/media/project/functions/cqsd/documents/qap/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.

Formative assessment

Formative assessment is any task or activity which creates feedback (or feedforward) for you about your learning, but which does not contribute towards your overall module mark.

Non-assessed problem sheets.

Reassessment

Type of reassessment Detail of reassessment % contribution towards module mark Size of reassessment Submission date Additional information
In-person written examination Exam 100 3 hours During the University resit period

Additional costs

Item Additional information Cost
Computers and devices with a particular specification
Required textbooks
Specialist equipment or materials
Specialist clothing, footwear, or headgear
Printing and binding
Travel, accommodation, and subsistence

THE INFORMATION CONTAINED IN THIS MODULE DESCRIPTION DOES NOT FORM ANY PART OF A STUDENT'S CONTRACT.

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