
Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Partial derivatives,
Partial derivatives,
Jacobians,
Taylor’s Expansion,
Applications: Maxima and minima of functions of two variables,
Lagrange’s Method of undetermined Multipliers,
Diagonalization of a real symmetric matrix,
Quadratic form,
Canonical form,
Nature of the quadratic form,
Reduction of quadratic form to canonical form by orthogonal transformation,
Applications: Stretching of an elastic membrane. 
Assignment
Assignment topic is assignment 1 and due date is 30102023.

Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Partial derivatives,
Partial derivatives,
Homogeneous functions and Euler’s theorem,
Jacobians,
Taylor’s Expansion,
Applications: Maxima and minima of functions of two variables,
Lagrange’s Method of undetermined Multipliers 
Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Double integration (Cartesian Coordinates),
Double integration (Cartesian Coordinates),
Change of order of integration,
Applications of double integral(Area),
Triple Integration(Cartesian Coordinates) 
Youtube Video
Dear Students the Youtube Video has been uploaded for the following topics:
Diagonalization of a Matrix 
Question Bank
Dear Students the Question Bank has been uploaded for the following topics:
set A,
set B 
Puzzles
Dear Students the Puzzles has been uploaded for the following topics:
puzzles,
riddles 
Resource Link
Dear Students the Resource Link has been uploaded for the following topics:
eigen value and eigen vector
cayley hamilton theorem
Leslie model 
Question Bank
Dear Students the Question Bank has been uploaded for the following topics:
part A,
part B 
Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:
Eigen values and Eigen vectors of a real matrix,
Eigen values and Eigen vectors of a real matrix,
Properties of Eigen values and Eigen vectors,
Cayley Hamilton Theorem (statement only)Problems,
Cayley Hamilton Theorem –Applications,
Eigen value problems arising from population models( Leslie model),
Diagonalization of a real symmetric matrix,
Quadratic form,
Canonical form,
Nature of the quadratic form,
Reduction of quadratic form to canonical form by orthogonal transformation,
Applications: Stretching of an elastic membrane.,
Curvature,
Radius of curvature ,
Centre of curvature ,
Evolutes ,
Envelopes ,
Circle of Curvature