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Lectures summaries | Problem Sets | Other Stuff |
Lecturer: | Dr Niall Madden ADB-1013, Arás de Brún Phone: 091 524411 x3803 Email: niall.madden@nuigalway.ie |
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Lectures: |
Tuesday 14.00-14.50 in AC214 ← new
Thursday 14.00-14.50 in the McMunn Theatre ← new |
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First Lecture: | Tuesday, 3^{rd} September 2013 | ||
Labs: | Wednesday 9-12 in the Finnegan Suite. There will be 4 lab sessions during the semester. You should attend for at least one hour, but ideally 2. | ||
Tutorials: | Thursday 3:00 in AC203 ← new. Tutorials take place on weeks when we don't have labs | ||
Office hour(s): | TBA | ||
Course Content: | The Analysis of Numerical Methods. More details are given in the Course Description below. | ||
Assessment: | Regular written homework and lab assignments, and a 2 hour exam at the end of semester | ||
Texts: | The main recommended text is: Suli and Mayers, An Introduction to Numerical Analysis (519.4 MAY). | ||
Additional texts: | G. W. Stewart, Afternotes on Numerical Analysis (519.4 STE ). Because NUI Galway subscribes to the SIAM ebook programme, full text is available online from on-campus computers! | ||
Cleve B. Moler, Numerical Computing with Matlab. Also freely available online. | |||
Course website: | Information and course documents will be posted here, and so on NUIGalway.Blackboard.com |
These course documents will include
MA385 (Numerical Analysis 1) is a one semester, 24 lecture, upper-level undergraduate course that emphasises the mathematics used to design numerical methods and to analyse their properties. Students also experiment with implementing algorithms in Matlab/Octave. The course covers
MA385 is followed by the Semester 2 course MA378 - Numerical Analysis II, which will be taught by Emil Sköldberg
Table of contents for the notes thus far | |||
Section 0: | Introduction to MA385/530. Taylor's Theorem | ||
Section 1: | Solving nonlinear equations | Start: 12/09/13. | |
Extra: Appendix 1: proof of the convergence of the secant method. | |||
Slides: Slides for the secant method. | |||
Slides: Slides for Newton's method. | |||
Slides: Slides for Fixed Point Iteration. | |||
Extra: Making a Julia set with Matlab | |||
Lab 1: Implementing the bisection and secant methods. | Date: 18/09/13 | File: Bisection.m | |
Section 2: | Initial Value Problems | ||
Slides: | |||
Lab 2: Implementing Euler's method | Date: 09/10/13 | File: Euler.m | |
Lab 3: Implementing RK2 (and higher)
methods Here are outline solutions to Questions 0-4. And here is a Matlab script, SolutionQ3.m, that implements the six RK3 methods. |
Date: 16/10/13 | ||
Section 3: | Solving Linear Systems | ||
Slides: | |||
Lab 4: Computing determinants | Date: 06 Nov 2013 | Files: MyDet.m TimeDet.m LUFactor.m | |
Section 4: | Norms, condition numbers, and eigenvalues | ||
Slides: | |||
All the notes to date(with hyperlinks) |
There will be several written assignments during the semester. These will be graded and returned to you. Along with the Matlab work, they will contribute 30% to the final grade for the course.
Deadline: Wednesday 27 Nov
2013.
Here are solutions to the questions on
Problem Set 3