UNIT 1:
Eigen values and Eigen vectors of a real matrix
Eigen values and Eigen vectors of a real matrix
Eigen values and Eigen vectors of a real matrix
Cayley Hamilton Theorem (statement only)-Problems
Properties of Eigen values and Eigen vectors
Eigen values and Eigen vectors of a real matrix
Cayley Hamilton Theorem –Applications
Eigen value problems arising from population models( Leslie model)
Eigen value problems arising from population models( Leslie model)
UNIT 2:
Applications: Stretching of an elastic membrane.
Reduction of quadratic form to canonical form by orthogonal transformation
Reduction of quadratic form to canonical form by orthogonal transformation
Diagonalization of a real symmetric matrix
Diagonalization of a real symmetric matrix
Reduction of quadratic form to canonical form by orthogonal transformation
Nature of the quadratic form
UNIT 3:
UNIT 4:
Homogeneous functions and Euler’s theorem
Homogeneous functions and Euler’s theorem
Homogeneous functions and Euler’s theorem
Homogeneous functions and Euler’s theorem
Homogeneous functions and Euler’s theorem
Applications: Maxima and minima of functions of two variables
Applications: Maxima and minima of functions of two variables
Applications: Maxima and minima of functions of two variables
Applications: Maxima and minima of functions of two variables
Applications: Maxima and minima of functions of two variables
Applications: Maxima and minima of functions of two variables
Applications: Maxima and minima of functions of two variables
UNIT 5:
Double integration (Cartesian Coordinates)
Double integration (Cartesian Coordinates)
Change of order of integration
Applications of double integral(Area)
Triple Integration(Cartesian Coordinates)
Applications: Volume of solids
Change of order of integration