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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.
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Assignment
Assignment topic is assignment 1 and due date is 30-10-2023.
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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
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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)
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Youtube Video
Dear Students the Youtube Video has been uploaded for the following topics:Diagonalization of a Matrix
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Question Bank
Dear Students the Question Bank has been uploaded for the following topics:set A, set B
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Puzzles
Dear Students the Puzzles has been uploaded for the following topics:puzzles, riddles
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Resource Link
Dear Students the Resource Link has been uploaded for the following topics:eigen value and eigen vectorcayley hamilton theoremLeslie model
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Question Bank
Dear Students the Question Bank has been uploaded for the following topics:part A, part B
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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