Topics:

• Introduction to MATLAB.
• Floating point arithmetics.
• Nolinear equations.
• Polynomial and spline interpolations.
• Numerical integration.
• Fast Fourier Transform.
• Linear system of equations.
• QR factorization and least squares problem.
• Matrix eigenvalue problem.

   Reference books:

We do not have a textbook. Brief lecture notes will be distributed in class. You can also download the lecture notes (which may be not updated) at the hyperlink below. Some useful reference books are:
• Introduction to Scientific Computing, by C. F. Van Loan.
• Afternotes on Numerical Analysis, by G. W. Stewart.
• Fundamentals of Numerical Computing, by L.F. Shampine, R.C. Allen and S. Pruess;
• Numerical Mathematics and Computing, by W. Cheney and D. Kincaid;
• An Introduction to C++ and Numerical Methods, by J.M. Ortega and A.S. Grimshaw.

   Requirements:

Your final grade will be calculated from the following components:
• Final Exam --- 70%,
• Mid-semester test --- 15%,
• Marked homework assignments and exercises in tutorial classes --- 15%.

   Brief lecture notes here.

   Old exam papers:

• Exam paper in December 2006.
• Exam paper in December 2005.
• Exam paper in December 2004 and the solution.
• Exam paper in December 2003 and the solution.

   Assignments:

• Assignment No. 1 . Question 2 due 5/10/2006.
• Assignment No. 2 . Questions 2, 7, 13 due 5/10/2006.
• Assignment No. 3 . Questions 2 and 5 due 24/10/2006.
• Assignment No. 4 . Questions 1, 2 and 6 due 24/10/2006.
• Assignment No. 5 . Question 6 due 14/11/2006.
• Assignment No. 6 . Questions 2(b), 3 due 14/11/2006.
• Assignment No. 7 .
• Assignment No. 8.

   Useful Links for MATLAB:

Matlab is an excellent software environment for scientific computing. It is a product of The Mathworks.
For a tutorial, see A Free Matlab Online Tutorial or Another Tuturial . Here is an outdated Matlab Primer (3rd edition).