# 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

### 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