# Mathematics

## ECM3730 - Mathematics of Climate Change (2018)

MODULE TITLE CREDIT VALUE Mathematics of Climate Change 15 ECM3730 Prof Mat Collins (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11 0 0
 Number of Students Taking Module (anticipated) 108
DESCRIPTION - summary of the module content

This module will provide a background in the mathematics underlying human-induced climate change. It will provide you with a good general understanding of the climate system, against which to assess the likely role of anthropogenic forcing factors. You will learn to apply a range of mathematical methods, including differential equations, calculus and the use of small parameters to approximate and simplify climate system problems.  Topics of study will include observations of climate change, the greenhouse effect, regimes of atmospheric absorption, climate feedbacks, climate tipping points and geoengineering.

Prerequisite module:  ECM1705 or equivalent

AIMS - intentions of the module

Climate change is a high-profile subject that is often covered in the media. However, debate about climate change is often presented in a polarized way, divided along political or idealogical lines. In contrast, there is now an urgent need to develop a new generation of thinkers capable of objectively analyzing the evidence for climate change and its causes, and the options for dealing with it (including mitigation, adaptation and geoengineering). Mathematically-minded people are especially sort after by organizations such as the Met Office-Hadley Centre in Exeter. This module aims to develop the skills required to meet these needs, by providing a strong-background in the science surrounding the climate change issue to mathematically-minded undergraduates.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

On successful completion of this module, you should be able to:

Module Specific Skills and Knowledge:
1 demonstrate a good general understanding of the climate system, and human-induced climate change;
2 use simple climate models to demonstrate this understanding.
Discipline Specific Skills and Knowledge:
3 demonstrate the application of a range of mathematical methods, including differential equations, calculus and the use of small parameters to approximate and simplify climate system problems.
Personal and Key Transferable/ Employment Skills and  Knowledge:

SYLLABUS PLAN - summary of the structure and academic content of the module

- definition of climate and the climate system;
- observations of climate change and climate variability;
- the greenhouse effect;
- human-forcing of the climate system;
- climate feedbacks: water vapour, snow/sea ice albedo, ocean circulation, cloud cover, carbon cycle;
- energy balance models of the climate system;
- predictions of future climate change.

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
 Scheduled Learning & Teaching Activities Guided Independent Study 33 117
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
 Category Hours of study time Description Scheduled learning and teaching activities 33 Lectures/example classes Guided independent study 117 Lecture and assessment preparation; wider reading

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
In-class problem sheets 4 x 1 hour 1,2,3 Verbal

SUMMATIVE ASSESSMENT (% of credit)
 Coursework Written Exams 20 80
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Written exam – closed book 80 2 hours - Summer Exam Period 1,2,3 Verbal
Coursework – two example sheets 20 2 x 3 hours 1,2,3 Written

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-reassessment
All above Written exam (100%) All August Ref/Def period

RE-ASSESSMENT NOTES

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.

RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener

ELE – http://vle.exeter.ac.uk