Lecture Notes || SNS Courseware

Subject Details

Dept : AIML

Sem : 1

Regul : 2023

Faculty : Mrs.Geetha

phone : 7558188392

E-mail : geetha.s.iqac@snsgroups.com

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Lecture Notes

UNIT 1:

Determining Eigen values and Eigen vectors of a real matrix

Cayley Hamilton Theorem (statement only)-Problems

Cayley Hamilton Theorem –Applications

Eigen value problems arising from population models( Leslie model)

UNIT 2:

Diagonalization of a real symmetric matrix

Nature of the quadratic form

Reduction of quadratic form to canonical form by orthogonal transformation

Applications: Stretching of an elastic membrane

UNIT 3:

Curvature

Radius of curvature in Cartesian Coordinates

Centre of curvature

Evolutes

Envelopes

UNIT 4:

Partial derivatives

Homogeneous functions and Euler’s theorem

Taylor’s series for functions of two variables

Applications: Maxima and minima of functions of two variables

Lagrange’s Method of undetermined Multipliers

UNIT 5:

Double integration (Cartesian Coordinates)

Change of order of integration

Applications of double integral(Area)

Triple Integrals(Cartesian Coordinates)

Applications: Volume of solids

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Oct

Determining Eigen values and Eigen vectors of a real matrix

Oct

Determining Eigen values and Eigen vectors of a real matrix

Oct

Cayley Hamilton Theorem (statement only)-Problems

Oct

Cayley Hamilton Theorem –Applications

Oct

Eigen value problems arising from population models( Leslie model)

Oct

Eigen value problems arising from population models( Leslie model)

Lecture Notes

Announcements

Recent Files

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