MST30040 Differential Equations

Academic Year 2020/2021

This module is intended as an introduction to the theory of ordinary differential equations. The theory of differential equations is a broad and active field of study which is of fundamental importance in all the areas in which mathematics is applied, from quantum mechanics to option-pricing. The topics to be chosen from (among others);

solving separable and first-order linear equations,
examples of differential equations in different areas of science and finance,
solving particular instances of second order differential equations,
power series and numerical solutions,
linear systems and classification of critical points,
the linearisation of non-linear systems.

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Curricular information is subject to change

Learning Outcomes:

On successful completion of this module the student should be able to:

1. Give examples of situations and problems which can be naturally modelled by differential equations.

2. Solve simple first-order and second-order equations and be able to apply existence theorems related to them.

3. Solve linear systems and classify the critical points of such systems.

4. Analyse simple cases of non-linear systems through linearisation.

Student Effort Hours: 
Student Effort Type Hours
Lectures

24
Tutorial

12
Specified Learning Activities

40
Autonomous Student Learning

40
Total

116
Approaches to Teaching and Learning:
Lectures; Tutorials 
Requirements, Exclusions and Recommendations
Learning Requirements:

To be eligible to take this module the student should have taken and passed a module or modules whose learning outcomes include a working knowledge of and understanding of the differential and integral calculus of functions of a single variable. The student should also have passed at least one module in linear algebra.


Module Requisites and Incompatibles
Incompatibles:
ACM10060 - Appl of Differential Equations, ACM10100 - Differential & Diff Equations


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: 2-hour written test 2 hour End of Trimester Exam No Alternative linear conversion grade scale 40% No

100

Carry forward of passed components
No
 
Resit In Terminal Exam
Autumn Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment

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