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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, TUTORIAL 1, Properties – Eigen values and Eigen vectors, Statement and applications of Cayley – Hamilton theorem , TUTORIAL 2, Diagonalization of Matrices, Reduction of quadratic form to canonical form by orthogonal transformation, Nature of quadratic form, TUTORIAL 3
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Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:Curvature in Cartesian coordinates, Centre and radius of curvature, Circle of curvature, Evolutes, Envelopes, TUTORIAL 4, TUTORIAL 5, TUTORIAL 6, Partial derivative and Total derivatives , Differentiation of implicit functions, Jacobian and properties, Problems on Jacobian , Maxima and minima of functions of two variables, Lagrange’s method, Lagrange’s method problems, Cauchys Linear equation, problems on method of variation of parameter, Homogeneous linear ODES Equations, Double integration (Cartesian co-ordinates) , Change of order of integration , Applications of double integral (Area)in cartesian coordinates, Triple Integration (Cartesian co-ordinates), Volume as triple integrals and solids of revolution.