Dear Students the Lecture Notes has been uploaded for the following topics:INTRODUCTION TO MATRICES, EIGEN VALUES AND EIGEN VECTORS, PROBLEMS ON EIGEN VALUES AND EIGEN VECTORS, TUTORIAL - 1, PROPERTIES OF EIGEN VALUES AND EIGEN VECTORS, CAYLEY HAMILTON THEOREM, DIAGONALIZATION OF MATRICES, TUTORIAL - 2, REDUCTION OF QUADRATIC FORM TO CANONICAL FORM, PROBLEMS ON REDUCTION OF QUADRATIC FORM, NATURE OF QUADRATIC FORM, TUTORIAL - 3, SEQUENCES - DEFINITIONS AND EXAMPLES, SEQUENCE & SERIES , CONVERGENCE, TYPES OF CONVERGENCE, SERIES OF POSITIVE TERMS, TEST FOR CONVERGENCE - COMPARISON TEST, INTEGRAL TEST, ABSOLUTE AND CONDITIONAL CONVERGENCE, CURVATURE AND RADIUS OF CURVATURE, RADIUS OF CURVATURE, CENTRE OF CURVATURE, CIRCLE OF CURVATURE, EVOLUTES, PROBLEMS ON EVOLUTES, PROPERTIES OF EVOLUTES, ENVELOPES, PROBLEMS ON ENVELOPES
Dear Students the Lecture Notes has been uploaded for the following topics:Introduction to partial derivative and total derivative, Jacobian and properties, Problems on Jacobian, Tutorial 10, Taylors series, Problems on Taylors series, Maxima and minima, Tutorial 11, Problems on Maxima and minima, Tutorial 12, Higher order linear ODE with constant coefficient, Cauchy linear equation, Method of variation of parameter, Tutorial
