# Mathematical Method by Sir Muhammad Awais Aun

These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org

Name | Mathematical Method |
---|---|

Lectured by | Sir Muhammad Awais Aun |

Provider | Mr. Muzammil Tanveer |

Pages | 117 pages |

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

Size | 1.1 MB |

### Contents & Summary

- Differential Equations
- Solution of a Differential Equation
- Linearly Independent Functions and the Wronskian
- Criterion for Linear Independent Functions
- Auxiliary Conditions
- Separated and Mixed Boundary Conditions
- Boundary Value Problems
- Abel’s Formula
- Eigenvalue Problems
- Adjoint Equation
- Self-Adjoint Equation
- Self-Adjoint form of a Differential Equation
- Self-Adjoint Operator
- Symmetric Operator
- Lagrange’s Identity
- Green’s Identity or Green’s formula
- Differential Equation
- Ordinary D.E (O.D.E)
- Partial D.E (P.D.E)
- Initial Condition
- Boundary Condition
- Fourier Transform
- Attenuation Property
- Even, Odd function
- Fourier Sine Transform
- Inverse Fourier
- Fourier Transformation Derivatives of a function
- Fourier Cosine Transformation
- Inverse Fourier Cosine Transformation
- Laplace Transformation
- Laplace transformation of derivative of function of f(t)
- Derivative of Laplace transformation
- Unit function
- Bessel Equation and Bessel Functions
- Basic Identities and Recurrence formula
- Parametric Bessel functions
- Transforming the independent variable for Bessel Function
- Orthogonality of Bessel functions
- Properties of Hankel transformation
- Hanker transformation of the derivation of the function f(x)
- Parseval Theorem
- Differential formula of Hankel transformation
- Green’s Identity or Green’s formula
- Green’s functions and their applications
- Green’s function for boundary value problems

Please click on View Online to see inside the PDF.

### Download or View online

**Download PDF (1.01 MiB, 5004 downloads)**| View Online

### Notes of other subjects

- Advanced Analysis: Handwritten Notes
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- 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: 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
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- 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/mathematical-method-muzammil-tanveer
- Last modified: 6 months ago
- by Administrator