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ACM30220

Academic Year 2024/2025

Partial Differential Equations (ACM30220)

Subject:
Applied & Computational Maths
College:
Science
School:
Mathematics & Statistics
Level:
3 (Degree)
Credits:
5
Module Coordinator:
Dr Graham Benham
Trimester:
Autumn
Mode of Delivery:
Blended
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

This course provides a thorough introduction to the mathematical theory of partial differential equations both the classical theory of Laplace, Cauchy, Fourier, Gauss etc and more modern analytic developments. Topics include first order equations, Cauchy problems, characteristics, linear second-order equations, classification, boundary value problems for elliptic equations, perimeter and initial value problems for hyperbolic and parabolic equations, fundamental solutions, Green's functions, eigenfunction expansions, Fourier transforms, and maximum principles.

About this Module

Learning Outcomes:

The student masters the basic principles and methods for the analysis of partial differential equations, including first-order equations, Cauchy's problems, characteristics, linear second-order equations, classification, boundary value problems for elliptic equations, boundary and initial value problems for hyperbolic and parabolic equations, fundamental solutions, maximum principles, Fourier series, and Fourier transform techniques. The student is then able to apply the techniques to study specific examples.

Student Effort Hours:
Student Effort Type Hours
Specified Learning Activities

24
Autonomous Student Learning

46
Lectures

30
Total

100

Approaches to Teaching and Learning:
Lectures, tutorials, enquiry, and problem-based learning.

Requirements, Exclusions and Recommendations
Learning Recommendations:

ACM20150 Vector and Integral Calculus


Module Requisites and Incompatibles
Incompatibles:
ACM30080 - PDEs in Financial Maths, ACM30120 - PDEs for Fin. Maths (online)


 

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Exam (In-person): Final examination End of trimester
Duration:
2 hr(s)
 Standard conversion grade scale 40% Yes
60
 Yes
Assignment(Including Essay): Assignments Week 1, Week 2, Week 3, Week 4, Week 5, Week 6, Week 7, Week 8, Week 9, Week 10, Week 11, Week 12 Standard conversion grade scale 40% No
20
 No
Exam (In-person): Midterm test Week 1, Week 2, Week 3, Week 4, Week 5, Week 6, Week 7, Week 8, Week 9, Week 10, Week 11, Week 12 Standard conversion grade scale 40% No
20
 No

Carry forward of passed components
No
 

Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Fri 13:00 - 13:50
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Thurs 11:00 - 11:50
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Wed 12:00 - 12:50
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