EE:211Computational Techniques in

Electrical Engineering Lecture#1

Dr. Mubashir AlamKing Saud University

Course InformationCourse 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, 3rd Edition, John Wiley & Sons, 2004.

Reference: Jaan Kiusalaas, "Numerical Methods in Engineering with Matlab", 2nd ed., Cambridge University Press, 2010

Lecture OutlineIntroduction to Numerical AnalysisThe Taylor PolynomialThe Error in Taylor’s Polynomial

Taylor Approximation to ex

x P1(x) P2(x) P3(x) ex

-1.0 0 0.5 0.3333 0.36788

-0.5 0.5 0.625 0.60417 0.60653

-0.1 0.9 0.905 0.90483 0.90484

0 1.0 1.000 1.0000 1.000

0.1 1.1 1.105 1.10517 1.10517

0.5 1.5 1.625 1.64583 1.64872

1.0 2.0 2.500 2.66667 2.71828

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