# Mathematics

## ECMM725 - The Climate System (2018)

MODULE TITLE CREDIT VALUE The Climate System 15 ECMM725 Dr Tim Jupp (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 0 11 0
 Number of Students Taking Module (anticipated) 30
DESCRIPTION - summary of the module content

This module is designed to give you an overview of the key physical processes determining the behaviour of the Earth's atmosphere. An informative subtitle might be climate physics for the mathematically literate. Topics covered will include radiative energy transfer, the structure, motion and thermodynamics of the atmosphere, the surface energy balance, and the main components of the general circulation (Hadley cells, Walker cells, jet streams etc.). The emphasis, where possible, will be on simple analytical models for commonly observed phenomena and on the development of physical intuition.

Prerequisite module: ECM3707 or equivalent

AIMS - intentions of the module

By the end of this module, you will have an understanding of the basic physics of the Earth’s climate, and will comprehend the structure and principal circulations of the atmosphere and the ocean.

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 appreciate how mathematics can be used to understand the physics of weather and climate;
2 comprehend the physics responsible for the general circulation;
3 understand in detail radiation, dynamics and atmospheric thermodynamics;
4 demonstrate a familiarity with the terminology and physical mechanisms of common meteorological phenomena.

Discipline Specific Skills and Knowledge:
5. understand the role of mathematical modelling in real-liefe situations;
6. recognise how many aspects of applied mathematics learned in earlier modules have practial uses;
7. develop expertise in using analytical and numerical techniques to explore mathematical models;
8. formulate simple models;
9. study adeptly the resulting equations and draw conclusions about likely behaviours.

Personal and Key Transferable/ Employment Skills and  Knowledge:
10. display enhanced numerical and computational skills via the suite of practical exercises that accompany the formal lecture work;
11. show enhanced literature searching and library skills in order to investigate various phenomena discussed;
12. demonstrate enhanced time management and organisational abilities.

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

- Motivation: the observed state of the atmosphere;
- Planetary scale energy balance (for planets with and without atmospheres)
- Surface energy balance
- Vertical structure and thermodynamics (dry and moist) of the atmosphere
- Rotating fluid dynamics: (Geostrophic flow, the thermal wind, Ekman transport, Potential vorticity and quasi-geostrophic potential vorticity)
- Waves (Plane waves. Shallow water theory. Inertial, Kelvin, Rossby and buoyancy waves)
- Instability (barotropic via Rayleigh and Fjortoft theorems, baroclinic via the Eady model)
- Wind-driven circulation in the ocean (Ekman spirals, Ekman pumping)
- Recap of how the theory above explains surface pressure maps, the jet stream, frontogenesis, Hadley and Walker cells etc.

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 Guided independent study 117 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
Not applicable

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 All
Coursework – continuous assessment 1 10 15 hours All Feedback sheet
Coursework – continuous assessment 2 10 15 hours All Feedback sheet

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 50% 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