Lecture Notes

Dear Students the Lecture Notes has been uploaded for the following topics:
Characteristic equations ,
Eigen values and Eigen vectors of a real matrix ,
Properties of Eigen values and Eigen vectors ,
Statement and applications of Cayley – Hamilton theorem ,
Diagonalization of matrices,
Reduction of quadratic form to canonical form by orthogonal transformation,
Nature of quadratic form,
Curvature in Cartesian coordinates ,
Centre and radius of curvature ,
Circle of curvature,
Evolutes,
Envelope,
Partial derivative and Total derivatives ,
Jacobian and properties,
Problems on Jacobian ,
Maxima and minima of functions of two variables,
Lagrange’s method,
Problems on Lagrange’s method,
Eulers(Cauchys) linear equation,
Legendres linear equations,
Method of variation of parameters,
Problems on Method of variation of parameters