ACM41010 Math of Sust & Environment

Academic Year 2024/2025

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.

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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) 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


Autonomous Student Learning




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
ACM30200 - Mathematical Fluid Dynamics I, ACM30220 - Partial Differential Equations

Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Assignment(Including Essay): Project-based assignment n/a Standard conversion grade scale 40% No


Exam (In-person): Final Examination n/a Standard conversion grade scale 40% Yes


Exam (In-person): Midterm test n/a Standard conversion grade scale 40% No


Carry forward of passed components
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.