Undergraduate Course: Earth Modelling and Prediction 2 (EASC08018)
Course Outline
| School | School of Geosciences | 
College | College of Science and Engineering | 
 
| Credit level (Normal year taken) | SCQF Level 8 (Year 1 Undergraduate) | 
Availability | Not available to visiting students | 
 
| SCQF Credits | 20 | 
ECTS Credits | 10 | 
 
 
| Summary | A mathematical description of Earth systems can both aid in prediction of these systems and lead to deeper understanding. In addition, many disciplines in the geosciences are becoming increasingly quantitative. This course is designed to give students mathematical skills needed to understand geoscience problems involving differentiation, integration, differential equations and the derivation of conservation equations. These topics are presented in a geoscience context, with techniques applied to environmental fluid mechanics, geochemistry, geomorphology, glaciology and thermal properties of the Earth.  
Students will learn through problem sets, online quizzes, readings and tutorial sessions. 
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| Course description | 
    
    Week 1: Introduction, application of mathematics to natural systems 
Week 2: Differentiation, applied differentiation 
Week 3: Integration; introduction, rules, applied integration 
Week 4: Partial differentiation and coordinate systems 
Week 5: Ordinary Differential Equations and Applied partial differentiation 
Week 6: Heat equation and Diffusion equation 
Week 7: Conservation equations: derivation using Taylor expansion and divergence theorem 
Week 8: Examples of conservation equations 
Week 9: More examples of conservation equations 
Week 10: Can we do this in a computer? and review 
 
Assessment and Feedback information can be found at the following link: 
https://www.ed.ac.uk/files/atoms/files/tar19-20.pdf  
 
All details related to extensions procedures and late penalties can be found in the Undergraduate General Information Handbook which can be found on the Learn UG Student Information Hub.  
 
Earth Modelling and Prediction 2 is a compulsory course for Environmental Geoscience, Geology and Geology & Physical Geography students with GCSE A-level Maths at Grade C or below, or Advanced Higher Maths at Grade D or below.
    
    
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites | 
 Students MUST have passed:    
Earth Modelling and Prediction (GESC08002)  
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Co-requisites |  | 
 
| Prohibited Combinations |  | 
Other requirements |  The above course or equivalent Highers | 
 
 
Course Delivery Information
| Not being delivered |   
Learning Outcomes 
    On completion of this course, the student will be able to:
    
        - Differentiate simple equations
 - Integrate simple equations
 - Solve simple differential equations
 - Derive and solve conservation equations for natural systems
 
     
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Reading List 
| Stroud and Booth, Engineering Mathematics, Palgrave MacMillan |   
 
Additional Information
| Graduate Attributes and Skills | 
Not entered | 
 
| Additional Class Delivery Information | 
Semester 2 
 
Lectures: Mondays, Wednesdays and Fridays 11am to 12noon 
Tutorials: Thursdays 12noon to 1pm 
Fridays 2pm to 3pm | 
 
| Keywords | Calculus; conservation; statistics | 
 
 
Contacts 
| Course organiser | Dr Daniel Goldberg 
Tel: (0131 6)50 2561 
Email:  | 
Course secretary | Ms Katerina Sykioti 
Tel: (0131 6)50 5430 
Email:  | 
   
 
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