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Degree Regulations & Programmes of Study 2010/2011
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Applied Stochastic Differential Equations (MATH10053)

Course Outline
School School of Mathematics College College of Science and Engineering
Course type Standard Availability Available to all students
Credit level (Normal year taken) SCQF Level 10 (Year 4 Undergraduate) Credits 10
Home subject area Mathematics Other subject area Specialist Mathematics & Statistics (Honours)
Course website http://student.maths.ed.ac.uk/
Course description Stochastic methods, stochastic differential equations (SDEs) in particular, are used extensively in finance, industry and in sciences. Reflecting this, this course provides an introduction to stochastic differential equations emphasising applications and computations over more formal aspects. It considers strategies for exact, approximate, and numerical solutions of SDEs, and emphasises the relationship with partial differential equations.
Entry Requirements
Pre-requisites Students MUST have passed: Pure & Applied Analysis (MATH10008) AND Complex Variable & Differential Equations (MATH10033)
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisites None
Prospectus website http://www.ed.ac.uk/studying/visiting-exchange/courses
Course Delivery Information
Summary of Intended Learning Outcomes
1. Understanding the concepts of Brownian motion and white noise.
2. Ability to manipulate and solve simple SDEs.
3. Understanding the relationship between SDEs and parabolic PDEs.
4. Understanding of basic numerical methods for SDEs.
Assessment Information
15% continuous assessment
85% examination
Please see Visiting Student Prospectus website for Visiting Student Assessment information
Special Arrangements
Not entered
Contacts
Course organiser Dr Liam O'Carroll
Tel: (0131 6)50 5070
Email: L.O'Carroll@ed.ac.uk
Course secretary Mrs Gillian Law
Tel: (0131 6)50 5085
Email: G.Law@ed.ac.uk
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copyright 2010 The University of Edinburgh - 1 September 2010 6:18 am