This course provides an introduction to numerical methods and their applications to solve science and engineering problems. In addition, convergence and error analysis of numerical methods is covered. In addition, practical experience with implementing numerical methods and assessing resulting errors will be acquired through a number of programming assignments.
Computer Science - 144 CRs
Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers with Software and Programming Applications, McGraw Hill.
| content serial | Description |
|---|---|
| 1 | Error Analysis: • Absolute and relative errors • Chopping and Round off errors. • Truncation Errors • Errors in Floating point representations |
| 2 | Error Analysis: • Propagation of Errors. |
| 3 | Solutions of Equations in One Variable • Bisection Method • Secant Method |
| 4 | Solutions of Equations in One Variable • Modified Secant • Newton Raphson |
| 5 | Solutions of Equations in One Variable • Fixed-Point Iteration |
| 6 | Assignments Discussions |
| 7 | 7th Week Examination |
| 8 | Numerical Differentiation |
| 9 | Numerical Integration • Elements of Numerical Integration |
| 10 | Composite Numerical Integration |
| 11 | Numerical Interpolation • Lagrange Interpolating Polynomials • Newton’s Divided-Difference |
| 12 | 12th Week Examination |
| 13 | Direct Methods for Solving Linear Systems • Gauss Elimination Method • Gauss Jordan Method |
| 14 | In-Direct Methods for Solving Linear Systems • Jacobi Method • Gauss Seidel Method |
| 15 | Numerical Regression |
| 16 | Final Examination |
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