Mathematical Methods in Engineering and Science (USB)
Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Dr. Bhaskar Dasgupta
NPTEL Co-ordinating Institute : IIT Kanpur
NPTEL Lecture Count : 40
NPTEL Course Size : 12 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Introduction
Lecture 2 - Basic Ideas of Applied Linear Algebra
Lecture 3 - Systems of Linear Equations
Lecture 4 - Square Non-Singular Systems
Lecture 5 - Ill-Conditioned and Ill-Posed Systems
Lecture 6 - The Algebraic Eigenvalue Problem
Lecture 7 - Canonical Forms, Symmetric Matrices
Lecture 8 - Methods of Plane Rotations
Lecture 9 - Householder Method, Tridiagonal Matrices
Lecture 10 - QR Decomposition, General Matrices
Lecture 11 - Singular Value Decomposition
Lecture 12 - Vector Space: Concepts
Lecture 13 - Multivariate Calculus
Lecture 14 - Vector Calculus in Geometry
Lecture 15 - Vector Calculus in Physics
Lecture 16 - Solution of Equations
Lecture 17 - Introdcution to Optimization
Lecture 18 - Multivariate Optimization
Lecture 19 - Constrained Optimization: Optimality Criteria
Lecture 20 - Constrained Optimization: Further Issues
Lecture 21 - Interpolation
Lecture 22 - Numerical Integration
Lecture 23 - Numerical Solution of ODE's as IVP
Lecture 24 - Boundary Value Problems, Question of Stability in IVP Solution
Lecture 25 - Stiff Differential Equations, Existence and Uniqueness Theory
Lecture 26 - Theory of First Order ODE's
Lecture 27 - Linear Second Order ODE's
Lecture 28 - Methods of Linear ODE's
Lecture 29 - ODE Systems
Lecture 30 - Stability of Dynamic Systems
Lecture 31 - Series Solutions and Special Functions
Lecture 32 - Sturm-Liouville Theory
Lecture 33 - Approximation Theory and Fourier Series
Lecture 34 - Fourier Integral to Fourier Transform, Minimax Approximation
Lecture 35 - Separation of Variables in PDE's, Hyperbolic Equations
Lecture 36 - Parabolic and Elliptic Equations, Membrane Equation
Lecture 37 - Analytic Functions
Lecture 38 - Integration of Complex Functions
Lecture 39 - Singularities and Residues
Lecture 40 - Calculus of Variations