Numerical Computing Course Outline For NCBA&E Lahore

Course Name: Numerical Computing 

Credit Hours: 3 (2+1)

Prerequisites: Calculus and Analytical Geometry

Course Outline: The concepts of efficiency, reliability and accuracy of a method; Minimising computational errors; Theory of Differences, Difference Operators, Difference Tables, Forward Differences, Backward Differences and Central Differences. Mathematical Preliminaries, Solution of Equations in one variable, Interpolation and Polynomial Approximation, Numerical Differentiation and Numerical Integration, Initial Value Problems for Ordinary Differential Equations, Direct Methods for Solving Linear Systems, Iterative Techniques in Matrix Algebra, Solution of non-linear equations.

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Reference Materials:

1. Numerical Methods in Scientific Computing by Germund, D. Åke, B.

2. Numerical Methods for Scientific Computing by J. H. Heinbockel.

3. Numerical Analysis by I. A. Khubaza.

4. Numerical Analysis and Programming by Shan S Kuo.

 5. Numerical Analysis by Berden, F.

6. Numerical Analysis by Gerald.