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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2011/2012
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Numerical Differential Equations (MATH08036)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) Credits10
Home subject areaMathematics Other subject areaSpecialist Mathematics & Statistics (Year 2)
Course website https://info.maths.ed.ac.uk/teaching.html Taught in Gaelic?No
Course descriptionThis 2nd year course is an introduction to numerical methods, taught from the perspective of qualitative treatment of differential equations. Convergence of numerical methods for ordinary differential equations (especially Euler's methods) is considered, as are issues such as stability and integral preservation under discretisation. The course focuses on planar models and the Kepler problem.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: ( Practical Calculus (MATH08001) AND Solving Equations (MATH08002) AND Geometry & Convergence (MATH08003) AND Group Theory: An Introduction to Abstract Mathematics (MATH08004)) OR ( Applicable Mathematics 1 (MATH08027) AND Mathematical Methods 1 (MATH08029) AND Applicable Mathematics 2 (MATH08031) AND Mathematical Methods 2 (MATH08032)) OR ( Mathematics for Informatics 1a (MATH08046) AND Mathematics for Informatics 1b (MINF08001) AND Mathematics for Informatics 2a (MINF08002) AND Mathematics for Informatics 2b (MATH08047)) OR ( Applicable Mathematics 1+2 (Physics) (MATH08049) AND Mathematical Methods 1+2 (Physics) (MATH08050))
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?Yes
Course Delivery Information
Delivery period: 2011/12 Semester 1, Available to all students (SV1) WebCT enabled:  Yes Quota:  0
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
No Classes have been defined for this Course
First Class First class information not currently available
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S1 (December)Numerical Differential Equations2:00
Resit Exam Diet (August)2:00
Summary of Intended Learning Outcomes
1. Knowledge ofbasic concepts of qualitative theory of ODEs, specifically : stability, phase portraits, 1st integrals, area preserving flows and maps, time-reveral symmetry are all discussed.

2. Understand numerical methods for solving ODEs, including the concept of convergence of a numerical method, and to see how numerical methods can be studied in terms of qualitative properties.

3. Knowledge of simple physical models such as the pendulum and Kepler's problem, and example-based introduction to integrability (or lack thereof).

4. Familiarity with MATLAB and its use for graphical investigation of models and solutions.
Assessment Information
30% continuous assessment
70% examination
Special Arrangements
None
Additional Information
Academic description Not entered
Syllabus Not entered
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
KeywordsNuD
Contacts
Course organiserDr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Email: N.Bournaveas@ed.ac.uk
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
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