Subject Details
Dept     : AIDS
Sem      : 1
Regul    : 2019
Faculty : Mr B.Mohan
phone  : Nil
E-mail  : mohan.b.math@snsce.ac.in
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Lecture Notes

UNIT 1:
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INTRODUCTION TO MATRICES
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EIGEN VALUES AND EIGEN VECTORS
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PROBLEMS ON EIGEN VALUES AND EIGEN VECTORS
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TUTORIAL - 1
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PROPERTIES OF EIGEN VALUES AND EIGEN VECTORS
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CAYLEY HAMILTON THEOREM
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DIAGONALIZATION OF MATRICES
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TUTORIAL - 2
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REDUCTION OF QUADRATIC FORM TO CANONICAL FORM
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PROBLEMS ON REDUCTION OF QUADRATIC FORM
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NATURE OF QUADRATIC FORM
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TUTORIAL - 3
UNIT 2:
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SEQUENCES - DEFINITIONS AND EXAMPLES
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TYPES AND CONVERGENCE SERIES OF POSITIVE TERMS
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TEST OFCONVERGENCE
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COMPARISON TEST
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INTEGRAL TEST
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ALTERNATIVE SERIES - LEBNITZ TEST
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LEIBNITZ TEST
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TUTORIAL - 6
UNIT 3:
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DEFINE - CURVATURE
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CURVATURE INCARTESIAN COORDINATES
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CIRCLE OF CURVATURE
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PROBLEMS ON CIRCLE OF CURVATURE
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EVOLUTES
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PROBLEMS ON EVOLUTES
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PROBLEMS ON ENVELOPS
UNIT 4:
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TAYLOR SERIES
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TUTORIAL 10
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PROBLEMS ON JACOBIAN
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JACOBIAN AND PROPERTIES
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Introduction of partial derivative
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TAYLOR SERIES PROBLEMS
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MAXIMA AND MINIMA
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LEGRANGES METHOD
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PROBLEMS OF LEGRANGES METHOD
UNIT 5:
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higher order linear differential equation with constant coefficient
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Cauchy’s linear equation
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Legendre’s Equations
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Method of variation of parameters problems