# 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

- Advanced Analysis: Handwritten Notes
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- Complex Analysis (Quick Review)
- Differential Geometry by M Usman Hamid
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Mechanics I by Dr Rao Muzamal Hussain
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- General Topology by Raheel Ahmad
- Group Theory by Mr. Muhammad Iftikhar
- Group Theory: Important Definitions and Results
- Groups (Handwritten notes)
- Linear Algebra: Important Definitions and Results
- Mathematical Method by Sir Muhammad Awais Aun
- Mathematical Statistics I by Muzammil Tanveer
- Mathematical Statistics II by Sir Haidar Ali
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Metric Spaces (Notes)
- Number Theory by Dr Muhammad Umer Shuaib
- 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
- Theory of Optimization by Ma'am Iqra Razzaq
- Theory of Relativity & Analytic Dynamics: Handwritten Notes
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector Spaces (Handwritten notes)

- msc/notes/partial-differential-equations-m-usman-hamid
- Last modified: 3 months ago
- by Dr. Atiq ur Rehman