1. Dr. Mubashir Alam King Saud University

2. Course Information Course Instructors: Dr. Mubashir Alam Contact Information: Office: 2C-98 Phone: 467-6739 Email: mubalam@ksu.edu.sa Textbook: K. Atkinson and W. Han, “Elementary Numerical Analysis, 3 rd Edition, John Wiley & Sons, 2004. Reference: Jaan Kiusalaas, "Numerical Methods in Engineering with Matlab", 2nd ed., Cambridge University Press, 2010

3. Lecture Outline Introduction to Numerical Analysis The Taylor Polynomial The Error in Taylor’s Polynomial

13. Taylor Approximation to e x xP 1 (x)P 2 (x)P 3 (x)exex 00.50.33330.36788 -0.50.50.6250.604170.60653 -0.10.90.9050.904830.90484 01.01.0001.00001.000 0.11.11.1051.10517 0.51.51.6251.645831.64872 1.02.02.5002.666672.71828