Learning Management System

Kurukshetra University, Kurukshetra

Syllabus

Course Code: BMAT20 3    Course Name: Practical-II

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 a) Problem Solving- Questions related to the following problems will be solved and record of those will be maintained in the Practical Notebook:
1. Problems of finding continuity of functions of several variables.
2. Problems of finding differentiability of functions of several variables.
3. Problems of finding maxima and minima of functions of two variables.
4. Solving optimization problems.
5. Problem solving of determination surface area through application of double integrals in Cartesian and polar coordinates.
6. Problems of determination of volume using triple integrals.
7. Problems of solving differential equations which are reducible to homogeneous.
8. Problems of solving differential equations which are reducible to linear.
9. Problems of solving differential equations by method of undetermined coefficients.
10. Problems of solving different PDEs using Lagrange’s method.
11. Problems of solving PDEs with Charpit’s method.
12. Problems of solving second order PDEs with variable coefficients which can be reduced to those with constant coefficients.
2 b) Practicals with Free and Open Source Software(FOSS) Tools- The following practicals will be done using MAXIMA Software and record of those will be maintained in the practical Note Book:
1. To find partial derivatives of a function using MAXIMA.
2. To find total differential of a function of several variables using MAXIMA.
3. To find partial derivatives by chain rule and implicit differentiation.
4. To plot a curve in two dimensions, three dimensional plots and level surfaces using MAXIMA.
5. To find exact solutions of first and second order ODEs using ode2 and ic1/ic2 built in functions of MAXIMA.
6. To find exact solutions of first and second order ODEs using desolve and atvalue built in functions of MAXIMA.
7. To evaluate double and triple integrals using MAXIMA.
8. To find numerical solution of a first order ODE using plotdf built in function of MAXIMA.
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