Details of MA3105 (Autumn 2020)
| Level: 3 | Type: Laboratory | Credits: 4.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| MA3105 | Numerical Analysis | Koel Das |
| Preamble |
|---|
| This course will have 2 theory hours and 2 lab hours
|
| Syllabus |
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| Interpolation: Newtons forward, backward and divided difference formulae; Lagranges method; Gauss, Stirling and Bessels formulae; spline interpolation.
Solution of Systems of Linear Equations: Gauss elimination method, Thomas algorithm, Gauss-Jacobi and Gauss-Seidel methods. Eigenvalues and Eigenvectors: Power method, Jacobis method, Givens method, Householders method. Solution of Non-linear Equations: Bisection method, fixed point iteration, Newton-Raphson, secant and regula-falsi methods. Solution of System of Non-linear equations: Fixed-point method and Newtons method. Numerical Differentiation: Formulae based on Newtons forward, backward, divided difference, and Lagranges formulae. Numerical Integration: Trapezoidal rule, Simpsons 1/3rd and 3/8th rules, Weddles rule, quadrature formulae based on Stirlings and Bessels interpolation formulae. Solution of Differential Equations: Taylors series method, Picards method and Runge-Kutta methods (1st, 2nd and 4th orders) for solving ODEs. |
| Prerequisite |
|---|
| Linear Algebra I (MA2102) and Analysis II (MA2201)
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| References |
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Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 1 | Elective |
| 2 | IP | 3 | Not Allowed |
| 3 | IP | 5 | Not Allowed |
| 4 | MR | 1 | Not Allowed |
| 5 | MR | 3 | Not Allowed |
| 6 | MS | 5 | Elective |
| 7 | MS | 7 | Not Allowed |
| 8 | MS | 9 | Not Allowed |
| 9 | RS | 1 | Elective |
| 10 | RS | 2 | Elective |