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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 | ||
| + | |||
| + | {{include> | ||
| + | ==== Download or View online ==== | ||
| + | <callout type=" | ||
| + | * **{{ : | ||
| + | </ | ||
| + | |||
| + | ====Notes of other subjects==== | ||
| + | {{topic> | ||
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| + | {{tag> | ||