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| - | ====== Mathematical Method by Sir Muhammad Awais Aun ====== | ||
| - | These notes are provided and composed by Mr. [[: | ||
| - | |||
| - | ^ Name |Mathematical Method | ||
| - | ^ Lectured by | Sir Muhammad Awais Aun | | ||
| - | ^ Provider | ||
| - | ^ Pages |117 pages | | ||
| - | ^ Format | ||
| - | ^ 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 | ||
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| - | {{include> | ||
| - | ==== Download or View online ==== | ||
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| - | * **{{ : | ||
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| - | ====Notes of other subjects==== | ||
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