| 
 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.
 
 |  
| 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.
 |  
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites | Students MUST have passed:    
Earth Modelling and Prediction (GESC08002) 
 | 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 equationsIntegrate simple equationsSolve simple differential equationsDerive and solve conservation equations for natural systems |  
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: Dan.Goldberg@ed.ac.uk
 | Course secretary | Ms Katerina Sykioti Tel: (0131 6)50 5430
 Email: Katerina.Sykioti@ed.ac.uk
 |  |  |