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- Partial Differential Equations by M Usman Hamid
- ====== 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. Muha... es on MathCity.org {{ :notes:partial-differential-equations-m-usman-hamid.jpg?nolink|Partial Differential Equ
- Partial Differential Equations by Muzammil Tanveer
- ====== Partial Differential Equations by Muzammil Tanveer ====== {{ :notes:partial-differential-equations-muzammil-tanveer.jpg?nolink|Partial Differential Equations}} These notes are provided and composed by Mr. [[... s on MathCity.org ^ Name |Partial Differential Equations or PDEs | ^ Provider |Mr. Muzammil Tanveer | ^
- Method of Mathematical Physics by Mr. Muhammad Usman Hamid
- s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations are also intended. These notes are send by Mr. Anwar Khan an... problems * General forms of first-order linear equations in two variables * Second-order equations in one independent variable * Classifiation of second-order li
- Complex Analysis by M Usman Hamid
- s first necessitated by the solution of algebraic equations. For example, the quadratic equations $$ x^2+4=0, x^2+x+1=0 \text{ and } x^2-2x+3=0 $$ don't possess real roots. In order to find the solution of these equations, Euler(1707-1783) was first to introduce the symb... /Regular/Holomorphic functions * Cauchy-Riemann equations in rectangular coordinates {{include>msc-notes-v
- Mathematical Method by Sir Muhammad Awais Aun
- the name given to such an equation. Differential equations can describe a variety of common physical phenome... derivatives of an unknown function. Differential equations can be divided into two categories. The first chapter of the notes is about differential equations. For other, please see what is in the notes? The... he notes?==== <grid><col sm="6"> * Differential Equations * Solution of a Differential Equation * Linea
- Mathematical Method by Muhammad Usman Hamid
- nctions. **Variational Methods:** Euler-Lagrange equations. Integrand involving one, two, three and n variables. Special cases of Euler-Lagrange’s equations. Necessary conditions for existence of an extremu... Techniques:** Perturbation methods for algebraic equations. Perturbation methods for differential equations. ==== Download ==== <callout type="success" icon="fa fa-do
- Notes for Numerical Methods by M Usman Hamid
- * Error analysis * Solution of the non-linear equations * Bisection methods * False position method ... nded formula * The solution of linear system of equations * Gauss elimination method * Gauss Jordan eli... mulae * Newton’s Cotes formula * Differential equations * Methods for numerical solutions of ordinary differential equations * Taylor’s series expansion * Euler’s method
- Functional Analysis by M Usman Hamid and Zeeshan Ahmad
- algebra, linear ordinary and partial differential equations, calculus of variations, approximation theory and, in particular, linear integral equations, whose theory had the greatest effect on the deve... orem:** Applications in differential and integral equations. ==== Download ==== <callout type="success" ico
- Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
- bers - Groups - Matrices - System of Linear Equations - Determinants - Metric Spaces - Number Theory - Ordinary Differential Equations - Infinite Series Here are few samples: \\ -
- Number Theory by Dr Muhammad Umer Shuaib
- st common multiple (LCM) * Linear Indeterminate equations or Linear Diophantine equations * Congruence * Complete Residue System (CRS) * Reduced Residue System
- Differential Geometry (Notes) by Ms. Kaushef Salamat
- urface * Second order magnitudes * Weingarten equations * Normal section of a surface at a point * Me
- Elementary Linear Algebra by Muhammad Usman Hamid
- ====Contents & Summary==== * **System of Linear Equations:** Representation in matrix form, matrices, opera
- Fluid Dynamics I by Muhammad Usman Hamid
- === **Introduction:** Definition of Fluid, basics equations, Methods of analysis, dimensions and units. Funda
- Fluid Mechanics by Ali Raza
- fluid * Compressible viscous fluid * Euler's equations of motion * Steady laminar flow between two par
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- urbulent flow * Stream lines * Differential Equations of stream lines * Vortex motion * Vorticity