Subject Details
Dept     : CSE
Sem      : 1
Regul    : 2019
Faculty : Gowri S
phone  : NIL
E-mail  : gowrisathasivam@gmail.com
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Lecture Notes

UNIT 1:
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Determining Eigen values and Eigen vectors of a real matrix
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Determining Eigen values and Eigen vectors of a real matrix
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Properties of Eigen values and Eigen vectors
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Cayley Hamilton Theorem (statement only)-Problems
UNIT 2:
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Quadratic form
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Reduction of quadratic form to canonical form by orthogonal transformation
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Diagonalization of a real symmetric matrix
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Diagonalization of a real symmetric matrix
UNIT 3:
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Radius of curvature
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Radius of curvature
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Centre of curvature
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Evolutes
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Envelopes
UNIT 4:
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Partial derivatives
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Total derivatives
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Jacobians
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Taylor’s Expansion
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Maxima and Minima
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Lagrange’s Method of undetermined Multipliers
UNIT 5:
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Homogeneous Linear ODE’s with constant coefficients
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Linear ODE with variable coefficients
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Cauchy’s Linear differential equation
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Method of Variation of parameters