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. |
| 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
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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
| Stroud and Booth, Engineering Mathematics, Palgrave MacMillan |
Additional Information
| Graduate Attributes and Skills |
Not entered |
| 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 |
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