Subject Details
Dept     : MECH
Sem      : 1
Regul    : 2019
Faculty : Ms.S.Gowsalyadevi
phone  : NIL
E-mail  : gowsimaths92@gmail.com
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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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PROPERTIES OF EIGEN VALUES AND EIGEN VECTORS
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DIAGONALIZATION OF MATRICES
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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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CAYLEY HAMILTON THEOREM
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TUTORIAL 1
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TUTORIAL 2
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TUTORIAL 3
UNIT 2:
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Sequences: Definitions and examples.
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Series: Types and convergence
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Series of positive terms: Comparison test
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Test of convergence-Comparison test
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D’Alembert’s ratio test
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D’Alembert’s ratio test
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Alternating Series: Leibnitz Rule
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Absolute and Conditional Convergence
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Integral Test
UNIT 3:
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CURVATURE AND RADIUS OF CURVATURE
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RADIUS OF CURVATURE
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CENTRE OF CURVATURE
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CIRCLE OF CURVATURE
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EVOLUTES
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EVOLUTES
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PROPERTIES OF EVOLUTES