unit- 3 to 6






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

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