# Partial Differential Equations by M Usman Hamid

The course provides a foundation to solve PDE’s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations are also intended. We are really very thankful to Prof. Muhammad Usman Hamid for providing these notes and appreciates his effort to publish these notes on MathCity.org

Name | Partial Differential Equations (PDE’s) |
---|---|

Author | Muhammad Usman Hamid |

Pages | 113 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 2.22 MB |

### Contents & Summary

- INTRODUCTION
- Basic Concepts and Definitions, Superposition Principle, Exercises

- FIRST-ORDER QUASI-LINEAR EQUATIONS AND METHOD OF CHARACTERISTICS
- Classification of first-order equations, Construction of a First-Order Equation, Method of Characteristics and General Solutions, Canonical Forms of First-Order Linear Equations, Method of Separation of Variables, Exercises

- MATHEMATICAL MODELS
- Heat Equations and consequences, Wave Equations and consequences.

- CLASSIFICATION OF SECOND-ORDER LINEAR EQUATIONS
- Second-Order Equations in Two Independent Variables, Canonical Forms, Equations with Constant Coefficients, General Solutions, Summary and Further Simplification, Exercises

- FOURIER SERIES, FOURIER TRANSFORMATION AND INTEGRALS WITH APPLICATIONS
- Introduction, Fourier Transform, Properties of Fourier Transform , Convolution theorem, Fourier Sine and Fourier Cosine, Exercises, Fourier Series and its complex form

- LAPLACE TRANSFORMS
- Properties of Laplace Transforms, Convolution Theorem of the Laplace Transform, Laplace Transforms of the Heaviside and Dirac Delta Functions, Hankel Transforms, Properties of Hankel Transforms and Applications, Few results about finite fourier transforms, Exercises

Please click on View Online to see inside the PDF.

### Download or View online

### Notes of other subjects

- Advance Analysis by Ms. Iqra Liaqat
- Advanced Analysis: Handwritten Notes
- Affine and Euclidean Geometry by Shahzad Idress
- Complex Analysis (Easy Notes of Complex Analysis)
- Complex Analysis (Notes) by Ms. Iqra Liaqat
- Complex Analysis (Quick Review)
- Complex Analysis by M Usman Hamid
- Computing Tools for Mathematics by Asif Arshad
- Differential Geometry (Notes) by Ms. Kaushef Salamat
- Differential Geometry by M Usman Hamid
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Dynamics I by Muhammad Usman Hamid
- Fluid Mechanics I by Dr Rao Muzamal Hussain
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- Functional Analysis by M Usman Hamid and Zeeshan Ahmad
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- Fuzzy Sets Theory by Umar Saeed Bunarai
- General Topology by Raheel Ahmad
- Handwritten Notes of Real Analysis by Asim Marwat
- History of Mathematics by Muhammad Usman Hamid
- Mathematical Method by Khalid Latif Mir (Solutions)
- Mathematical Method by Muhammad Usman Hamid
- Mathematical Method by Sir Muhammad Awais Aun
- Mathematical Statistics by Ms. Iqra Liaqat
- Mathematical Statistics I by Muzammil Tanveer
- Mathematical Statistics II by Sir Haidar Ali
- Measure Theory by M Usman Hamid & Saima Akram
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Mechanics I (Statics) by Dr Babar Ahmad
- Method of Mathematical Physics by Mr. Muhammad Usman Hamid
- Metric Spaces (Notes)
- Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
- Notes of Mathematics
- Number Theory by Dr Muhammad Umer Shuaib
- Number Theory by Ms. Iqra Liaqat
- Number Theory: Handwritten Notes
- Number Theory: Notes by Anwar Khan
- Numerical Analysis by M Usman Hamid
- Numerical Analysis II
- Operation Research by Sir Haidar Ali
- Operation Research: Handwritten Notes
- Partial Differential Equations
- Partial Differential Equations by M Usman Hamid
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- Rings & Modules by Ms. Iqra Liaqat
- Rings (Handwritten notes)
- Special Functions by Dr. Muhey-U-Din
- Theoretical Mechanics by Khalid Latif Mir (Solutions)
- Theory of Optimization by Ma'am Iqra Razzaq
- Topology and Functional Analysis Solved Paper by Noman Khalid
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector Space (Review) by Rashad Wattu