Mathematics of the Environment - 2025 entry
| MODULE TITLE | Mathematics of the Environment | CREDIT VALUE | 15 |
|---|---|---|---|
| MODULE CODE | ECM2911 | MODULE CONVENER | Prof Markus Mueller (Coordinator) |
| DURATION: TERM | 1 | 2 | 3 |
|---|---|---|---|
| DURATION: WEEKS | 11 | 0 | 0 |
| Number of Students Taking Module (anticipated) | 20 |
|---|
Pre-requisite: A Level in Mathematics, or equivalent
The module has three interwoven aims: Develop core MATLAB skills; understand key societal themes from a mathematical and computational perspective; develop transferable skills including team-work, report writing and presentation skills. Inter-disciplinarity is key and throughout the module there will be ample opportunity to work alongside mathematical scientists to break down pre-conceived barriers between different areas of mathematics and different applications in science and engineering. Your learning will follow a “develop skills – apply skills – present skills” cycle.
Each cycle will combine lectures and computer lab sessions aimed at building-up quantitative skills, and follows a cycle of introduction lecture to a contemporary challenge within a research theme, guided exploration of the scientific/engineering theme in groups, ending with a presentation or poster session. The cycle will be repeated across three skill sets/applications to offer a wide range of mathematical and computational skills and their application across a wide range of scientific themes.
On successful completion of this module, you should be able to:
Module Specific Skills and Knowledge:
1 Listen critically to expert opinions from science and engineering and assimilate imparted knowledge in mathematical terms;
2 Analyse contemporary scientific issues using mathematical, statistical and computational techniques;
Discipline Specific Skills and Knowledge:
3 Abstract scientific issues into logical mathematical form;
4 Synthesize a range of mathematical, statistical and computational techniques;
5 Develop evidenced-based reasoning;
Personal and Key Transferable/Employment Skills and Knowledge:
6 Engage in informed debate concerning key issues from the engineering, environmental and life sciences;
7 Engage with stakeholders from the engineering, environmental and life sciences;
8 Engage in group work with peers from different disciplines with different skill sets.
The syllabus has two key threads: A skills-based thread aimed at developing core MaATLAB skills and related mathematical and computational techniques; and an applications-based thread whereby skills are applied to key societal challenges*. The challenges are posed by an expert from engineering, environmental or life sciences. Learning and teaching will follow a 3-stage cycle. In each stage, you will work in teams to put applied mathematics and computational skills into practice in a real-world application. Each stage will conclude with a group presentation or poster session. A typical module cycle is structured as follows:
Introduction and Theme A. Natural Populations
Explore population projection modelling, eigenvalue and eigenvector analysis of population growth trends, and mathematical approaches to population management. [4x4 hours]
This theme will also introduce you to the following MATLAB skills: Getting started with MATLAB; Lists and arrays; 2D plotting; Loops, iteration and logic; Matrices and matrix algebra in MATLAB; perform eigenvector and eigenvalue calculations, and visualise population progression and analysis.
Theme B. Climate Change
Explore energy balance modelling, tipping points, hysteresis in the climate. Explore climate datasets and explore regression analyses to relate climate features. [3x4 hours]
You will continue to develop MATLAB skills, using iterative schemes to make global and local temperature projections; you will also explore statistical approaches, in particular linear regression analysis and model fitting.
Theme C. Environmental Systems Data
Explore spatially explicit remote sensing data from LiDAR and/or satellite datasets; develop data handling, manipulation and 3D visualisation skills, spatial analysis and modelling. [3x4 hours]
You will gain experience of processing, analysing and visualising large datasets in MATLAB.
Recap and Individual Project
Build on the scientific themes and consolidate MATLAB skills, leading to an individual report and quantitative skills test. Demonstrate your quantitative skills and understanding of the modelling and computational aspects of the module applied to a project of your choice. [Independent study with 4 hours of academic support per week].
*The exact details of each challenge may vary from year to year because one key aim is to address contemporary issues.
| Scheduled Learning & Teaching Activities | 44 | Guided Independent Study | 106 | Placement / Study Abroad | 0 |
|---|
| Category | Hours of study time | Description |
| Scheduled Learning and Teaching Activities | 10 | Lectures and computer demos |
| Scheduled Learning and Teaching Activities | 3 | Colloquium-style lectures |
| Scheduled Learning and Teaching Activities | 3 | Peer-to-peer presentations |
| Scheduled Learning and Teaching Activities | 28 | Guided group work and independent study |
| Guided Independent Study | 106 | Wider reading and preparation |
| Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
|---|---|---|---|
| Three Group Presentations/Posters | 3x15 minutes | 1-8 | Oral |
| Mock Quantitative Skills Test | 1 hour | 2-4 | Written/Computer-Based |
| Coursework | 100 | Written Exams | 0 | Practical Exams | 0 |
|---|
| Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
|---|---|---|---|---|
| Quantitative Skills Test | 40 | 1 hour | 2-4 | Written/Computer-based |
| Individual Report | 60 | 2000 words (or equivalent) | 1-7 | Oral and Written |
| Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-reassessment |
|---|---|---|---|
| Quantitative Skills Test | Quantitative Skills Test | 2-4 | August Ref/Def Period |
| Individual Report | Individual Report 2000 words (or equivalent) | All | August Ref/Def Period |
If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.
If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 40% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.
information that you are expected to consult. Further guidance will be provided by the Module Convener
Basic Reading:
ELE - http://vle.exeter.ac.uk/
Web based and Electronic Resources:
Met Office Hadley Centre - UKCP18 Science Overview Report:
https://www.metoffice.gov.uk/pub/data/weather/uk/ukcp18/science-reports/UKCP18-Overview-report.pdf
American Meteorological Society (AMS) - State of the Climate in 2015:
Intergovernmental Panel on Climate Change (IPCC) Reports - AR5 Synthesis Report:
https://www.ipcc.ch/site/assets/uploads/2018/02/SYR_AR5_FINAL_full.pdf
Other IPCC Reports:
Other Resources:
Sanyal, J. & Lu, X.X. Application of Remote Sensing in Flood Management with Special Reference to Monsoon Asia: A Review, Natural Hazards (2004) 33: 283
https://doi.org/10.1023/B:NHAZ.0000037035.65105.95
Tarsi, K. & Tuff, T. (2012) Introduction to Population Demographics. Nature Education Knowledge 3(11):3
https://www.nature.com/scitable/knowledge/library/introduction-to-population-demographics-83032908
Reading list for this module:
| Type | Author | Title | Edition | Publisher | Year | ISBN |
|---|---|---|---|---|---|---|
| Set | McMahon, D. | MATLAB Demystified | McGraw-Hill | 2007 | 978-0071485517 | |
| Set | Gander, W. | Learning MATLAB: A Problem Solving Approach | Springer | 2015 | 978-3319253275 | |
| Set | Higham, D. and Higham, N. | MATLAB Guide | 3rd | SIAM | 2017 | 978-1611974652 |
| Set | Kharab, A. and Guenther, R.B. | An Introduction To Numerical Methods: A MATLAB Approach | Chapman & Hall | 2012 | 978-1439868997 | |
| Set | Deffeyes, K.S. | Beyond Oil: The View from Hubbert's Peak | Hill & Wang | 2006 | 978-0809029570 | |
| Set | Otto, S.P. and Day, T. | A Biologist's Guide to Mathematical Modeling in Ecology and Evolution | 1st | Princeton University Press | 2007 | 978-0691123448 |
| Set | Campbell, J.B. and Wynne, R. | Introduction to Remote Sensing | 5th | Guilford Press | 2011 |
| CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
|---|---|---|---|
| PRE-REQUISITE MODULES | None |
|---|---|
| CO-REQUISITE MODULES | None |
| NQF LEVEL (FHEQ) | 5 | AVAILABLE AS DISTANCE LEARNING | No |
|---|---|---|---|
| ORIGIN DATE | Thursday 14th March 2024 | LAST REVISION DATE | Thursday 20th March 2025 |
| KEY WORDS SEARCH | Interdisciplinary Mathematics and Statistics; Ecology; Environmental Science; Policy; Society; Scientific Computing with MATLAB |
|---|
Please note that all modules are subject to change, please get in touch if you have any questions about this module.


