Undergraduate Course: Mathematical Methods for Geophysicists (EASC09021)
Course Outline
| School | School of Geosciences | 
College | College of Science and Engineering | 
 
| Course type | Standard | 
Availability | Available to all students | 
 
| Credit level (Normal year taken) | SCQF Level 9 (Year 3 Undergraduate) | 
Credits | 10 | 
 
| Home subject area | Earth Science | 
Other subject area | None | 
   
| Course website | 
None | 
Taught in Gaelic? | No | 
 
| Course description | This course takes the mathematics which students have learned in the  pre-honours Mathematics for Physics courses and applies it to the study of the Earth, extending mathematical skills and  exploring the insights that can be developed through quantitative modelling of geological processes. Many examples and applications are drawn from the book "Geodynamics" by Turcotte & Schubert. 
 
Topics covered include  
 
Vectors and their use in describing positions and directions on the Earth's surface 
 
Spherical geometry and plate tectonics 
 
Potential fields and the gradient and divergence operators applied to gravity and heat flow 
 
Ordinary differential equations applied to heat flow in the Earth 
 
The diffusion equation applied to time-dependent heat flow into the Earth 
 
Teaching is by means of a series of "workshops", in which short lectures on the underlying mathematical techniques and their geological and geophysical applications are mixed with example classes. | 
 
 
Information for Visiting Students 
| Pre-requisites | Mathematics to the level of vector calculus and simple differential equations. | 
 
| Displayed in Visiting Students Prospectus? | Yes | 
 
 
Course Delivery Information
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| Delivery period: 2014/15  Semester 1, Available to all students (SV1) 
  
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Learn enabled:  Yes | 
Quota:  None | 
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Web Timetable  | 
	
Web Timetable | 
 
| Course Start Date | 
15/09/2014 | 
 
| Breakdown of Learning and Teaching activities (Further Info) | 
 
 Total Hours:
100
(
 Lecture Hours 10,
 Seminar/Tutorial Hours 20,
 Feedback/Feedforward Hours 2,
 Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
66 )
 | 
 
| Additional Notes | 
 | 
 
| Breakdown of Assessment Methods (Further Info) | 
 
  Written Exam
60 %,
Coursework
40 %,
Practical Exam
0 %
 | 
 
| Exam Information | 
 
    | Exam Diet | 
    Paper Name | 
    Hours & Minutes | 
    
	 | 
  
| Main Exam Diet S1 (December) | Mathematical Methods for Geophysicists | 1:30 |  |  
 
Summary of Intended Learning Outcomes 
At the end of this course, students will: 
 
1. Have a broad and integrated understanding of how to apply their mathematical skills in an Earth science context and what insights can be gained from the quantitative modelling of geological processes.  
2. Have a critical understanding of vectors and how they are implemented in this field 
3. Be able to solve a variety of ordinary and partial differential equations and to apply them in a variety of Earth science contexts. | 
 
 
Assessment Information 
| Continuous assessment worth 40% consisting of two assessed problem sheets (worth 20% of the course total each). Centrally-arranged exam worth 60%. |  
 
Special Arrangements 
| None |   
 
Additional Information 
| Academic description | 
Not entered | 
 
| Syllabus | 
Not entered | 
 
| Transferable skills | 
Not entered | 
 
| Reading list | 
 
A guided tour of mathematical methods for the physical sciences, Roel Sneider. Cambridge University Press, 978-0521542616 
 
Geodynamics, Turcotte, D. L. and Schubert, G 0-521-66624-4 
 
Geophysical Theory,  Menke, W. and Abbott, D. 978-0-231-06792-8 
 
Mechanics in the Earth and Environmental Sciences, Middleton, G. V. and Wilcock, P. R,  0-521-44669-4 
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| Study Abroad | 
Not entered | 
 
| Study Pattern | 
Not entered | 
 
| Keywords | Math_Methods | 
 
 
Contacts 
| Course organiser | Dr Hugh Pumphrey 
Tel: (0131 6)50 6026 
Email:  | 
Course secretary | Mrs Katie Leith 
Tel: (0131 6)50 8510 
Email:  | 
   
 
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