Subject Details
Dept     : CSE
Sem      : 1
Regul    : 2019
Faculty : Dr.S.Subhalakshmi
phone  : 9095968068
E-mail  : subha.s.math@snsct.org
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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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Eigen value problems arising from population models( Leslie model)
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Elastic deformations
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Cayley Hamilton Theorem (statement only)-Problems
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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Some Applications: Transformation to Principal axes- Conic sections
UNIT 3:
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Curvature
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Circle of Curvature
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Evolutes
UNIT 4:
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Jacobians
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Total derivatives
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Maxima and Minima
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Lagrange’s Method of undetermined Multipliers
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Lagrange’s Method of undetermined Multipliers
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Partial derivatives
UNIT 5:
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Cauchy’s Linear differential equation
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Method of Variation of parameters
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Homogeneous Linear ODE’s with constant coefficients