Differential Equations for Engineers

No Date Topics/Presentations
1 October 28, 2020 Introduction: Motivational Lecture
2 November 2, 2020 Mathematical Modelling of Bioheat Equation
3 November 2, 2020 (afternoon) Wave Equation, Boundary Conditions and PDE to ODE
4 November 4, 2020 First Order ODE: Linear, Separable
5 November 9, 2020 Exact ODE, Existence and Uniqueness Theorem
6 November 11, 2020 Second-Order ODEs, Wronskian
7 November 13, 2020 Reduction of Order, Method of Undetermined Coefficients, Annihilator
8 November 16, 2020 Euler-Cauchy Equation, Variation of Parameters
9 November 18, 2020 Green's Function
10 November 20, 2020 Power Series, Frobenius Method
11 November 23, 2020 Frobenius Method and Legendre's Equation
12 November 25, 2020 Bessel's Equation
13 November 27, 2020 Bessel's Equation and Few Problems
14 December 2, 2020 Fourier Series
15 December 4, 2020 Fourier Integral, Sturm-Liouville Problem, PDE: Introduction
16 December 7, 2020 First Order PDE Classifications and Second Order PDE Classifications
17 December 9, 2020 Transport Equation and Heat Equation Solution: Variable Separable
18 December 11, 2020 Wave Equation - Variable Separable and d'Alembert's Solution
19 December 14, 2020 Laplace and Wave Equation in Polar and Cylindrical Coordinates, Heat Equation on Long Bar
20 December 14, 2020 (afternoon) (1) Wave Equation in 2D, Double Fourier Series (2) Laplace Equation in Spherical coordinates
Exam and Viva Exam

No Exam Date/Time Syllabus Q & A
1 Assignment Exam (10) November 21, 2020: 17:00 - 17:30 Hrs ODE: Upto Variation of Parameters
2 Written Exam (20) November 28, 2020: 16:45 - 18:00 Hrs ODE: Up to Bessel's equation Questions and Answers
3 Viva Exam (20) December 12 & 13, 2020: 12:00 - 20:00 Hrs Complete Syllabus (20 Minutes per student)

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Buy Advanced Engineering Mathematics Book Online at Low Prices in India | Advanced Engineering Mathematics Reviews & Ratings - Amazon.in Differential Equations with Applications and Historical Notes (Textbooks in Mathematics) eBook: Simmons, George F.: Amazon.in: Kindle Store Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) Corrected, Cooper, Jeffery M. - Amazon.com

No Assignments Issue Date Due Date
1 Assignment-1 November 2, 2020 November 20, 2020
2 Assignment-2 November 2, 2020 December 14, 2020
Heat Equation
Wave Equation
Poisson Equation
Fourier Series

Lecture Notes

Cheat Sheets

Further Reading:
No Date Problem Solving
1 November 6, 2020 Mathematical Modelling
2 November 9, 2020 First Order ODEs
3 November 16, 2020 Second-Order ODEs to Variation of Parameters
4 November 23, 2020 Green's Function to Power Series
5 December 7, 2020 Legendre, Bessels and Fourier Series
6 December 16, 2020 First Order, Second-Order PDEs