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 8 (Year 2 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Year 2) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html
|
Taught in Gaelic? |
No |
| 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. |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 1, Available to all students (SV1)
|
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 |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S1 (December) | Numerical Differential Equations | 2:00 | Nil. No YAF | | | Resit Exam Diet (August) | | 2:00 | nil. No YAF | |
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 |
| Keywords |
NuD |
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 |
|
copyright 2011 The University of Edinburgh -
31 January 2011 7:58 am
|
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