Subject Details
Dept     : ECE
Sem      : 1
Regul    : 2019
Faculty : P.M.Chellapandi
phone  : NIL
E-mail  : pmchellapandi1989@gmail.com
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Lecture Notes

UNIT 1:
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Eigen values and Eigen vector of real symmetric matrix
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Properties of Eigen values and Eigen vectors
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Cayley Hamilton Theorem (Statement only)and its applications
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Eigen value problems arising from population models (Leslie model)
UNIT 2:
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Diagonalization of a real symmetric matrix
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Quadratic form
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Canonical form
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Nature of the quadratic form
UNIT 3:
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Curvature in Cartesian coordinates and Polar forms
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Centre and Radius of curvature
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Centre and Radius of curvature
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Circle of Curvature
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Evolutes
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Envelopes
UNIT 4:
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Partial derivatives
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Euler’s Theorem for Homogeneous functions
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Jacobians
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Taylor’s Expansion
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Maxima and Minima
UNIT 5:
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Methods of undetermined coefficients