ACM41010 Math of Sust & Environment

Academic Year 2023/2024

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: Hydropower and wave energy generation, groundwater management, CO2 storage, solar power and batteries, and modelling glaciers. 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) Solve optimisation problems using variational calculus
8) Apply all of the above techniques to problems in sustainability and the enviornment

Student Effort Hours: 
Student Effort Type Hours
Lectures

36
Specified Learning Activities

36
Autonomous Student Learning

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 Open Book Exam Component Scale Must Pass Component % of Final Grade
Continuous Assessment: Take-home assignments and in-class tests Throughout the Trimester n/a Standard conversion grade scale 40% No

40
Examination: Final examination 2 hour End of Trimester Exam No Standard conversion grade scale 40% No

60

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.
 
Spring
      
Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Fri 09:00 - 09:50
Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Fri 16:00 - 16:50
Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 11:00 - 11:50
Spring