unit 3 | Introduction of matrices | |
Rank of matrix
| ||
Inverse of a
matrix using elementary
transformations
| ||
Consistency of
linear system of equations
| ||
Eigen-values
and
eigenvectors of a matrix
| ||
unit 4 | Introduction of caculus | |
Maclaurin’s
and Taylor’s Theorem for expansion of a function
|
&
| |
Applications
of definite integral to area
| ||
Arc length
| ||
Surface area
and
volume (in
Cartesian co-ordinates).
| ||
Partial
derivatives
| ||
Total
differential
| ||
Euler’s
Theorem
| ||
Maxima-Minima.
| ||
unit 5 | Introduction of multiple integrals | |
Double integral (Cartesian co-ordinates), | ||
Change of
order of
integration
| ||
Triple
integrals (Cartesian co-ordinates)
| ||
Applications
in area and
volume
| ||
Introduction
of ordinary differential equations
| ||
Linear
differential equations with
constant
coefficients
| ||
unit 6
|
Introduction
of Numerial Techniques
| |
Solution of
algebraic and transcendental
equations
| ||
Newton
Raphson’s methods
| ||
Solution of
simultaneous
equations
| ||
Gauss
Elimination method and Gauss Seidel method
| ||
Numerical
Integration Simpson’s 1/3 rule
| ||
Solution of
Ordinary
differential
equations
| ||
Runge-Kutta
method of 4th order
|
unit- 3 to 6
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