Differential equations for engineers 3D2AWEDP6W

URI	`m2://res/3D2AWEDP6W`
Kind	course
Creators	Srinivasa Rao Manam (instructor)
Date	2017-07-06
Scope	in
Ids	course 03v0r5n49:111106100

Expressions

e1: edition

Language	en
Date	2017-07-06

m1: page, IIT Madras (record). nptel 111106100
m2: page, 2017-07-06 (record). nptel 111106100

Contents

part 1: Week 1
session 1: Lesson 01 - Introduction to Ordinary Differential Equations (ODE)
session 2: Lesson 02 - Methods for First Order ODE's - Homogeneous Equations
session 3: Lesson 03 - Methods for First order ODE's - Exact Equations
session 4: Lesson 04 - Methods for First Order ODE's - Exact Equations ( Continued )
session 5: Lesson 05 - Methods for First order ODE's - Reducible to Exact Equations
session 6: Lesson 06 - Methods for First order ODE's - Reducible to Exact Equations ( Continued )
part 2: Week 2
session 7: Lesson 07 - Non-Exact Equations - Finding Integrating Factors
session 8: Lesson 08 - Linear First Order ODE and Bernoulli's Equation
session 9: Lesson 09 - Introduction to Second order ODE's
session 10: Lesson 10 - Properties of solutions of second order homogeneous ODE's
session 11: Lesson 11 - Abel's formula to find the other solution
session 12: Lesson 12 - Abel's formula - Demonstrstion
part 3: Week 3
session 13: Lesson 13 - Second Order ODE's with constant coefficients
session 14: Lesson 14 - Euler - Cauchy equation
session 15: Lesson 15 - Non homogeneous ODEs Variation of Parameters
session 16: Lesson 16 - Method of undetermined coefficients
session 17: Lesson 17 - Demonstration of Method of undetermined coefficients
session 18: Lesson 18 - Power Series and its properties
part 4: Week 4
session 19: Lesson 19 - Power Series Solutions to Second Order ODE's
session 20: Lesson 20 - Power Series Solutions ( Continued )
session 21: Lesson 21 - Legendre Differential Equation
session 22: Lesson 22 - Legendre Polynomials
session 23: Lesson 23 - Properties of Legendre Polynomials
part 5: Week 5
session 24: Lesson 24 - Power series solutions around a regular singular point
session 25: Lesson 25 - Frobenius method of solutions'
session 26: Lesson 26 - Frobenius method of solutions (continued)
session 27: Lesson 27 - Examples on Frobenius method
session 28: Lesson 28 - Bessel differential equation
part 6: Week 6
session 29: Lesson 29 - Frobenius solutions for Bessel Equation
session 30: Lesson 30 - Properties of Bessel functions
session 31: Lesson 31 - Properties of Bessel functions (continued)
session 32: Lesson 32 - Introduction to Sturm-Liouville theory
session 33: Lesson 33 - Sturm-Liouville Problems
part 7: Week 7
session 34: Lesson 34 - Regular Sturm-Liouville problem
session 35: Lesson 35 - Periodic and singular Sturm-Liouville Problems
session 36: Lesson 36 - Generalized Fourier series
session 37: Lesson 37 - Examples of Sturm-Liouville systems
session 38: Lesson 38 - Examples of Sturm-Liouville systems (continued)
session 39: Lesson 39 - Examples of regular Sturm-Liouville systems
part 8: Week 8
session 40: Lesson 40 - Second order linear PDEs
session 41: Lesson 41 - Classification of second order linear PDEs
session 42: Lesson 42 - Reduction to canonical form for equations with constant coefficients
session 43: Lesson 43 - Reduction to canonical form for equations with variable coefficients
session 44: Lesson 44 - Reduction to Normal form-More examples
part 9: Week 9
session 45: Lesson 45 - D'Alembert solution for wave equation
session 46: Lesson 46 - Uniqueness of solutions for wave equation
session 47: Lesson 47 - Vibration of a semi-infinite string
session 48: Lesson 48 - Vibration of a finite string
part 10: Week 10
session 49: Lesson 49 - Finite length string vibrations
session 50: Lesson 50 - Finite length string vibrations (continued)
session 51: Lesson 51 - Non-homogeneous wave equation
session 52: Lesson 52 - Vibration of a circular drum
session 53: Lesson 53 - Solutions of heat equation-Properties
part 11: Week 11
session 54: Lesson 54 - Temperature in an infinite rod
session 55: Lesson 55 - Temperature in a semi-infinite rod
session 56: Lesson 56 - Non-homogeneous heat equation
session 57: Lesson 57 - Temperature in a finite rod
session 58: Lesson 58 - Temperature in a finite rod with insulated ends
part 12: Week 12
session 59: Lesson 59 - Laplace equation over a rectangle
session 60: Lesson 60 - Laplace equation over a rectangle with flux boundary conditions
session 61: Lesson 61 - Laplace equation over circular domains
session 62: Lesson 62 - Laplace equation over circular Sectors
session 63: Lesson 63 - Uniqueness of solutions-Laplace equation
session 64: Lesson 64 - Conclusions

Catalogue records

nptel: 111106100 (manifestation)
nptel_video: 111106100 (manifestation)