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

Undergraduate Course: Numerical Partial Differential Equations (MATH10044)

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	This course provides an introduction to the numerical treatment of partial differential equations (PDEs). We will first consider the classical theory and discuss the wave equation (d'Alembert in 1747), the heat equation (Fourier 1822) and the Laplace equation (Laplace 1785, Legendre 1785). Many interesting PDEs may not have a solution in a classical sense and we will introduce weak solutions for such problems. Numerical methods to approximate both classical and weak solutions will be discussed.

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

Delivery period: 2010/11 Semester 1, Available to all students (SV1)						WebCT enabled: Yes		Quota: None
Location	Activity	Description	Weeks	Monday	Tuesday	Wednesday	Thursday	Friday
No Classes have been defined for this Course
First Class	Week 1, Tuesday, 15:00 - 15:50, Zone: King's Buildings. JCMB, room 6206

Summary of Intended Learning Outcomes
1. Familiarities with different type of PDEs. 2. Knowledge about classical methods for simple PDE model problems. 3. Knowledge about numerical methods for the approximation of classical and weak solution of simple PDE model problems.

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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