Undergraduate Course: Numerical Differential Equations (MATH08036)
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 08 (Year 2 Undergraduate) |
Credits |
10 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Year 2) |
Course website |
http://student.maths.ed.ac.uk/ |
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Course description |
This 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. |
Course Delivery Information
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Delivery period: 2010/11 Semester 1, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: 75 |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
King's Buildings | Lecture | | 1-11 | | | | 10:00 - 10:50 | | King's Buildings | Lecture | | 1-11 | 10:00 - 10:50 | | | | |
First Class |
Week 1, Monday, 10:00 - 10:50, Zone: King's Buildings. JCMB, room 6206 |
Additional information |
Lab:
Mon 1110 JCMB 5205
Tue 1000 JCMB 5205 |
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 |
Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Not entered |
Contacts
Course organiser |
Dr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Email: N.Bournaveas@ed.ac.uk |
Course secretary |
Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk |
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copyright 2010 The University of Edinburgh -
1 September 2010 6:17 am
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