1

2D plots for Cartesian and polar curves

2

Finding angle between polar curves, curvature and radius of curvature of a given curve

3

Finding partial derivatives and Jacobian 

4

Applications to Maxima and Minima of two variables

5

Solution of first-order ordinary differential equation and plotting the solution curves

6

Finding GCD using Euclid’s Algorithm 

7

Solving linear congruenceax ≡b(mod m)

8

Numerical solution of system of linear equations, test for consistency and graphical representation

9

Solution of system of linear equations using Gauss-Seidel iteration

10

Compute eigenvalues and eigenvectors and find the largest and smallest eigenvalue by \Rayleigh power method.

1

Program to compute area, surface area, volume and centre of gravity

2

Evaluation of improper integrals

3

Finding gradient, divergent, curl and their geometrical interpretation

4

Computation of basis and dimension for a vector space and Graphical representation of linear transformation

5

Computing the inner product and orthogonality

6

Solution of algebraic and transcendental equations by Ramanujan’s, Regula – Falsi and   Newton-Raphson method

7

Interpolation/Extrapolation using Newton’s forward and backward difference formula

8

Computation of area under the curve using Trapezoidal, Simpson’s (1/3)^rd and (3/8)^th rule

9

Solution of ODE of first order and first degree by Taylor’s series and Modified Euler’s method

10

Solution of ODE of first order and first degree by Runge-Kutta 4^th order and Milne’s predictor-corrector method