Numerical Analysis I

Time and Place:MWF 9:10-10:00am, 1218 SAS Hall

Instructor:Prof. Ilse Ipsen

4234 SAS Hall, 515-3399

email: ipsen at dot ncsu dot edu

office hours: MF 10-11am, and by appointment

Webpages for MA580/CSC580:

- http://www4.ncsu.edu/~ipsen/ma580/
- http://courses.ncsu.edu/ma580/
- http://courses.ncsu.edu/csc580/

Prerequisites:MA405; MA425 or MA511; high-level computer language

Topics:Linear systems, least squares, singular value decomposition, eigenvalue decompositions,

sensitivity and perturbation theory, numerical stability of algorithms

Textbooks

- Pink book

Ilse Ipsen: Numerical Matrix Analysis, SIAM, 2009

Link to NCSU e-book, downloadable copy

- Red book

Tim Kelley: Iterative Methods for Linear and Nonlinear Equations, SIAM, 1995

Link to NCSU e-book

- Matlab book

Des and Nick Higham: Matlab Guide, Second Edition, SIAM, 2005

Link to NCSU e-book

Papers

- IEEE Standard for Binary Floating Point Arithmetic
- Ilse Ipsen and Carl Meyer: The Idea Behind Krylov Methods, 1998

Amer. Math. Monthly, vol. 105, no. 10, pp 889-899

Homeworks

- Available here: HW0, HW1 (pdf, tex), HW2 (pdf, tex), HW3 (pdf, tex), HW4 (pdf, tex), HW5 (pdf, tex)
- Weekly assignments
- Collaboration in teams of 2-5 people is encouraged.
- Late submissions will
notbe accepted.- Typeset your homeworks in L
^{A}TEX. Hand-written solutions are not accepted.- For professional preparation of homeworks, please see the guidelines in Homework 0.

Exams

- 2 Midterms: 6 February and 18 March 2015
- Final: 8am on 4 May 2015
- No collaboration on exams.

Course Grade

- Homeworks: 30%

- Best of 2 midterm exams: 35%

- Final exam: 35%

- A+: 96-100%, A: 90-95%, B+: 86-89%, B:80-85%, C: 65-79%

Mathematical Communication and Technology (link)

Matlab Resources

- Charles Van Loan and Daisy Fan:

Insight through Computing: A Matlab Introduction to Computational Science and Engineering, SIAM, 2010

Link to NCSU e-book- Matlab Primer

- Numerical Computing with Matlab
- Matlab Tutorial (Utah)

L^{A}TEX Resources