1. Preliminaries

The following textbooks were used in preparations of the notes:

1. Burden, Richard L., and J. Douglas Faires. Numerical analysis 8th ed. Thomson Brooks/Cole (2005).

2. Atkinson, Kendall E. An introduction to numerical analysis. John wiley & sons, 2008.

3. Khoury, Richard, and Douglas Wilhelm Harder. Numerical methods and modelling for engineering. Springer, 2016.

The rest of this chapter is organized as follows,

• 1.1. Mathematical Preliminaries
• 1.2. Error Analysis
• 1.3. Algorithms and Convergence
• 1.4. Big O Notation