DEGREE REGULATIONS & PROGRAMMES OF STUDY 2017/2018

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DRPS : Course Catalogue : School of Geosciences : Earth Science

Undergraduate Course: Mathematical and computational methods in Geophysics (EASC09054)

 School School of Geosciences College College of Science and Engineering Credit level (Normal year taken) SCQF Level 9 (Year 3 Undergraduate) Availability Available to all students SCQF Credits 20 ECTS Credits 10 Summary This course introduces and develops mathematical and computational techniques commonly used in geophysics. The mathematics and computing are taught in an integrated manner so, for example, methods for finding an analytical solution to a differential equation are followed immediately by computing techniques for achieving the same aim. Course description In this course, you will learn a range of core mathematical and computational methods that form the basis for future courses. 1. Solve a variety of mathematical problems as applied in a geophysical context 2. Learn the basis about coding in Python 3. Break scientific problems down into computationally tractable programs 4. Write clear, working, well documented programs in Python 5. Solve ordinary and partial differential equations using numerical techniques 6. Understand the basis of Monte Carlo methods The learning experience will be varied, mixing practical programming classes with traditional lectures and problem-solving tutorials. Where practical, we will reinforce the ideas from the mathematical methods within the computational classes.
 Pre-requisites Students MUST have passed: Physics of the Earth (EASC08016) AND ( Algebra and Calculus (PHYS08041) OR Linear Algebra and Several Variable Calculus (PHYS08042)) Co-requisites Prohibited Combinations Other requirements Mathematics including partial differentiation and differential equations.
 Pre-requisites Mathematics including partial differentiation and differential equations. High Demand Course? Yes
 Academic year 2017/18, Available to all students (SV1) Quota:  None Course Start Semester 1 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 18, Seminar/Tutorial Hours 10, Supervised Practical/Workshop/Studio Hours 30, Feedback/Feedforward Hours 2, Summative Assessment Hours 2, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 134 ) Assessment (Further Info) Written Exam 50 %, Coursework 50 %, Practical Exam 0 % Additional Information (Assessment) Written Exam 50 %, Coursework 50 %, Practical Exam 0 % Coursework 50%, exam 50%. The exam will test the mathematical skills more than the computational ones, the coursework will do the reverse. Assessed Coursework will consist of one computing exercise (30% of course) and one set of mathematics problems (20% of course) One further set of maths problems and one further computing exercises will be marked for formative purposes. Completion of online Codecademy exercises is compulsory. Formative Computation: Deadline Tuesday 4pm Week 8 Assessed Computation: Deadline Tuesday 4pm Week 11 Formative Mathematics: Deadline Thursday Week 6 Assessed Mathematics: Deadline Friday Week 9 Feedback Mathematical problems will be set every week, discussed in the tutorial and answers provided thereafter. The computation sessions will be run as interactive coding classes which encourage discussion and exploration of individual problems. In addition to the assessed coursework, one further set of maths problems and one further computing exercises will be marked for formative purposes. Exam Information Exam Diet Paper Name Hours & Minutes Main Exam Diet S1 (December) 2:00
 On completion of this course, the student will be able to: Solve a variety of mathematical problems as applied in a geophysical contextWrite clear, working, well documented programs in PythonSolve ordinary and partial differential equations using numerical techniquesUnderstand the basis of Monte Carlo methods
 Sneider, R., Mathematical Methods for the Physical Sciences, 2004, Cambridge University Press, ISBN: 978-0-521-83492-6. Turcotte, D.,L. and Schubert, G. Geodynamics. Cambridge University Press. ISBN: 0-521-66624-4.
 Graduate Attributes and Skills Programming in a high-level computing language (Python) Keywords Mathematics,geophysics,heat flow,programming,python
 Course organiser Dr Mark Naylor Tel: (0131 6)50 4918 Email: Mark.Naylor@ed.ac.uk Course secretary Miss Sarah Thomas Tel: (0131 6)50 8510 Email: Sarah.Thomas@ed.ac.uk
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