Reading List
You can find the material for this course in many introductory books on Numerical Analysis such as
1) A. Quarteroni, R Sacco and F Saleri, Numerical Mathematics (Springer, 2000).
2) K. E. Atkinson, An Introduction to Numerical Analysis (2nd Edition, Wiley, 1989).
3) S. D. Conte and C. de Boor, Elementary Numerical Analysis (3rd Edition, Graw-Hill, 1980).
4) G. M. Phillips and P. J. Taylor, Theory and Applications of Numerical Analysis (2nd Edition, Academic Press, 1996).
5) W. Gautschi, Numerical Analysis: An Introduction (Birkhauser, 1977).
6) H. R. Schwarz, Numerical Analysis: A Comprehensive Introduction (Wiley, 1989).
But the main recommended book for this course is:
1) E. Süli and D. F. Mayers, An Introduction to Numerical Analysis (CUP, 2003). Of which the relevant chapters are: 6, 7, 2, 5, 9, 11.