Mathematical Methods in Engine.. - IIT_Kanpur

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Mod-01 Lec-01 Introduction

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00:52:23

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Mod-01 Lec-02 Basic Ideas of Applied Linear Algebra

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00:52:06

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Mod-01 Lec-03 Systems of Linear Equations

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00:51:43

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Mod-01 Lec-04 Square Non-Singular Systems

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00:59:50

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Mod-01 Lec-05 Ill-Conditioned and Ill-Posed Systems

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00:55:29

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Mod-02 Lec-06 The Algebraic Eigenvalue Problem

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00:56:31

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Mod-02 Lec-07 Canonical Forms, Symmetric Matrices

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00:55:13

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Mod-02 Lec-08 Methods of Plane Rotations

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00:56:16

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Mod-02 Lec-09 Householder Method, Tridiagonal Matrices

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01:00:16

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Mod-02 Lec-10 QR Decomposition, General Matrices

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00:57:37

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Mod-03 Lec-11 Singular Value Decomposition

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00:58:38

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Mod-03 Lec-12 Vector Space: Concepts

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00:54:51

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Mod-03 Lec-13 Multivariate Calculus

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00:56:17

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Mod-03 Lec-14 Vector Calculus in Geometry

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01:03:07

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Mod-03 Lec-15 Vector Calculus in Physics

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00:59:01

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Mod-04 Lec-16 Solution of Equations

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00:54:44

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Mod-04 Lec-17 Introdcution to Optimization

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00:54:39

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Mod-04 Lec-18 Multivariate Optimization

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Mod-04 Lec-19 Constrained Optimization: Optimality Criteria

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Mod-04 Lec-20 Constrained Optimization: Further Issues

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00:56:28

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Mod-05 Lec-21 Interpolation

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00:58:13

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Mod-05 Lec-22 Numerical Integration

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00:53:49

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Mod-05 Lec-23 Numerical Solution of ODE's as IVP

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00:55:44

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Mod-05 Lec-24 Boundary Value Problems, Question of Stability in IVP Solution

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00:55:12

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Mod-05 Lec-25 Stiff Differential Equations, Existence and Uniqueness Theory

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Mod-06 Lec-26 Theory of First Order ODE's

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00:53:16

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Mod-06 Lec-27 Linear Second Order ODE's

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01:01:04

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Mod-06 Lec-28 Methods of Linear ODE's

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00:57:34

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Mod-06 Lec-29 ODE Systems

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Mod-06 Lec-30 Stability of Dynamic Systems

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01:01:59

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Mod-07 Lec-31 Series Solutions and Special Functions

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00:55:53

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Mod-07 Lec-32 Sturm-Liouville Theory

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01:00:05

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Mod-07 Lec-33 Approximation Theory and Fourier Series

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00:55:01

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Mod-07 Lec-34 Fourier Integral to Fourier Transform, Minimax Approximation

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00:55:50

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Mod-08 Lec-35 Separation of Variables in PDE's, Hyperbolic Equations

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00:54:19

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Mod-08 Lec-36 Parabolic and Elliptic Equations, Membrane Equation

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00:51:43

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Mod-08 Lec-37 Analytic Functions

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00:58:07

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Mod-08 Lec-38 Integration of Complex Functions

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00:56:00

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Mod-08 Lec-39 Singularities and Residues

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00:57:24

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Mod-08 Lec-40 Calculus of Variations

IIT_Kanpur

00:55:37

Mod-01 Lec-01 Introduction

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IIT_Kanpur
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In Engineering / Mechanical Engineering

Mathematical Methods in Engineering and Science by Dr. Bhaskar Dasgupta,Department of Mechanical Engineering,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in

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