'Theory of First Order ODE's' Video Lecture

Theory of First Order ODE's

Course: Mathematical Methods in Engineering and Science

Faculty: Dr. Bhaskar Dasgupta

Institute: IIT Kanpur

Theory of First Order ODE's - Click on the Video Link shown below to play the video on Youtube. Browse through Mathematical Methods in Engineering and Science (Mechanical Engineering) Video Lectures by Dr. Bhaskar Dasgupta from IIT Kanpur through NPTEL.

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Course Video Lectures Introduction Basic Ideas of Applied Linear Algebra Systems of Linear Equations Square Non-Singular Systems Ill-Conditioned and Ill-Posed Systems The Algebraic Eigenvalue Problem Canonical Forms, Symmetric Matrices Methods of Plane Rotations Householder Method, Tridiagonal Matrices QR Decomposition, General Matrices Singular Value Decomposition Vector Space: Concepts Multivariate Calculus Vector Calculus in Geometry Vector Calculus in Physics Solution of Equations Introdcution to Optimization Multivariate Optimization Constrained Optimization: Optimality Criteria Constrained Optimization: Further Issues Interpolation Numerical Integration Numerical Solution of ODE's as IVP Boundary Value Problems, Question of Stabilit.. Stiff Differential Equations, Existence and U.. Theory of First Order ODE's Linear Second Order ODE's Methods of Linear ODE's ODE Systems Stability of Dynamic Systems Series Solutions and Special Functions Sturm-Liouville Theory Approximation Theory and Fourier Series Fourier Integral to Fourier Transform, Minima.. Separation of Variables in PDE's, Hyperbolic .. Parabolic and Elliptic Equations, Membrane Eq.. Analytic Functions Integration of Complex Functions Singularities and Residues Calculus of Variations