Undergraduate Course: Earth Modelling and Prediction 2 (EASC08026)
Course Outline
| School | School of Geosciences | 
College | College of Science and Engineering | 
 
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 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 | 
    
    THERE ARE NO TUTORIALS IN WEEK 1 
 
Syllabus 
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: Conservation equations: Diffusion within porous media 
Week 7: Conservation equations: Diffusion of heat and energy (dynamic and steady-state) 
Week 8: Hydrodynamics applications: River dynamics 
Week 9: River dynamics continued; Ocean dynamics 
Week 10: Review week 
    
    
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites | 
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Co-requisites |  | 
 
| Prohibited Combinations |  | 
Other requirements |  None | 
 
 
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 
Recommended reading 
Stroud and Booth, Engineering Mathematics, Palgrave MacMillan 
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Additional Information
| Graduate Attributes and Skills | 
Not entered | 
 
| Keywords | Calculus,conservation,statistics | 
 
 
Contacts 
| Course organiser | Dr Daniel Goldberg 
Tel: (0131 6)50 2561 
Email:  | 
Course secretary | Mr Johan De Klerk 
Tel: (0131 6)50 7010 
Email:  | 
   
 
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