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ACM41010

Academic Year 2024/2025

Math of Sust & Environment (ACM41010)

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

Curricular information is subject to change.

This course will introduce students to different challenges in the area of sustainability and the environment, and how these challenges can be approached with the tools of applied mathematics. The topics of the course will include: wave energy generation, sea ice and glaciers, groundwater management, and CO2 storage. Much of the course will involve the development and analysis of mathematical models involving partial and ordinary differential equations. We will also discuss dimensional analysis, scaling arguments and similarity solutions.

About this Module

Learning Outcomes:

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

1) Build mathematical models based on conservation laws
2) Non-dimensionalise these models
3) Analyse these models using dimensional scaling arguments
4) Convert PDE's into ODE's via similarity transformations
5) Solve simple PDE systems using the method of characteristics
6) Analyse discontinuities and shocks
7) Apply all of the above techniques to problems in sustainability and the enviornment

Student Effort Hours:
Student Effort Type Hours
Specified Learning Activities

36

Autonomous Student Learning

36

Lectures

36

Total

108


Approaches to Teaching and Learning:
The module is delivered through lectures, problem solving classes and homework assignments.

Requirements, Exclusions and Recommendations

Not applicable to this module.


Module Requisites and Incompatibles
Pre-requisite:
ACM30200 - Mathematical Fluid Dynamics I, ACM30220 - Partial Differential Equations


 

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% No
60
No
Assignment(Including Essay): Project-based assignment 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
Summer 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 Mon 15:00 - 15:50
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Tues 13:00 - 13:50