Syllabus

Course Code: MMATH21-303    Course Name: Practical-III

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 List of Programs: The following practicals will be done on the MATLAB/SCILAB/Octave platform and record of those will be maintained in the practical Note Book:
1. Solutions of simultaneous linear equations: Gauss-elimination method and Gauss-Jordan method.
2 2. Solutions of simultaneous linear equations using Jacobi method and Gauss-Seidel method.
3 3. Solution of algebraic / transcendental equations using Bisection method and Regula-falsi method.
4 4. Solution of algebraic / transcendental equations using Secant method and Newton-Raphson method.
5 5. Inversion of matrices using adjoints; Jordan method.
6 6. Numerical differentiation: using various differentiation formulas for error reduction.
7 7. Numerical integration using composite methods based on trapezoidal rule.
8 8. Numerical integration using composite Simpson1/3 rule and 3/8 rule.
9 9. Solution of ordinary differential equations Euler method and Modified Euler method.
10 10. Solution of ordinary differential equations using Runge-Kutta methods.
11 11. Statistical problems on central tendency (mean, mode, median) and dispersion (standard variation, standard error).
12 12. Least square method to fit polynomial (curve) of given degree to given data set.
13 13. Plotting of special functions.
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