MA385 - Numerical Analysis (2017/2018)

Course Information

Lecturer:	Dr Niall Madden ADB-1013, Arás de Brún Phone:  091 493803 Email: niall.madden@nuigalway.ie
Lectures:	Monday 9.00-09.50 in AC201 Thursday 15.00-15.50 in AC201
First Lecture:	9.00, Monday, 4 September 2017
Tutorials:	Monday 10-11, and Wednesday 10-11. Venue: AdB-1020 . First tutorial: Monday, 18 Sep 2017.
Labs:	Thursday 16.00-16.50
Course Content:	The Analysis of Numerical Methods. More details are given in the Course Description below.
Assessment:	Two written homework assignments (20%) Three computer labs (10%) One in-class test in Week 6 [tbc] (10%) A 2 hour exam at the end of semester (60%)
Texts:	The main recommended text is: Suli and Mayers, An Introduction to Numerical Analysis (519.4 MAY). You can download the first chapter for free. In addition, an online version is available, free of charge, through the NUI Galway library. In MA385, we will cover Chapters 1, 2, 5 and 12 (though not in that order).
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 through the library website.
	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

• Summary Lecture notes containing statements of proofs, exercises, etc, but not proofs or worked examples. These will available be several hours before the lecture. You should print them and bring them with you to lectures.
• Problem sets
• Important announcements, such as details on homework assignments, class test(s), tutorials, etc.
• Links to useful and interesting websites.

Course Description

MA385 (Numerical Analysis 1) is a one semester, 24 lecture, upper-level module 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

• Newton's Method and other techniques for solving nonlinear equations;
• Methods for solving initial value differential equations, such as Runge-Kutta methods;
• Numerical methods for solving systems of linear equations and their analysis, including the role played by matrix norms;
• Estimation of eigenvalues and eigenvectors (power method, Rayleigh quotient and Gerschgorin's circles).

MA385 is followed by the Semester 2 module, MA378/MA531: Numerical Analysis II.

Lecture notes

Schedule (other than lectures)

This schedule is tentative and subject to change.

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