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- Partial Differential Equations by M Usman Hamid @notes
- ====== 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
- Khuram Ali Khan
- **Field of Research:** Difference and functional equations, Real functions, Mathematical inequalities involv... f a competitive system of second-order difference equations, The Scientific World Journal, Vol. 2014 (2014), ... ty Analysis of a System of Exponential Difference Equations, Discrete Dynamics in Nature and Society Vol. 201... or quasi-convex functions, Advances in Difference Equations ( Published January 18, 2019) IF 1.51 ([[https://
- Partial Differential Equations by Muzammil Tanveer @notes
- ====== 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 | ^
- FSc Part 1 (KPK Boards) @fsc
- ers. * know the solution of simultaneous linear equations with complex co-efficients. * write the polynom... as product of linear factors. * solve quadratic equations in complex variable with real co-efficients. ===... nd rank of a matrix. * solve a system of linear equations of both homogeneous and non-homogeneous equations. === Download === <callout type="success" icon="fa fa-do
- Notes of Mathematics
- he real analysis. NEW </well> ===== Differential Equations ===== <well> **[[Notes:Partial-Differential-Equations-M-Usman-Hamid]]** \\ Notes of Partial Differential Equations by Muhammad Usman Hamid. These notes provides a f... s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations a
- Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
- ====== Chapter 04: Quadratic Equations ====== {{ :fsc:fsc_part_1_solutions:fsc-1-chap-04-ptb.jpg|Chapter 04: Quadratic Equations}} Notes (Solutions) of Chapter 04: Quadratic Equations, Text Book of Algebra and Trigonometry Class XI (Math... === * Introduction * Solutions of Quadratic Equations * Exercise 4.1 * Solutions of Equations Red
- Atiq ur Rehman, PhD
- **Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and co... functions. Computational Methods for Differential Equations, 8(1) (2020), 119-140. 47. Z. Chen, G. Farid, A.... tions and related results, Advances in Difference Equations, 2020:163, (2020), 1-18. 46. L. N. Mishra, Q. U.... ts in fractional calculus, Advanced in Difference Equations, 2019:152 (2019), 1-13. 44. G. Farid, A. U. Rehm
- Complex Analysis by M Usman Hamid @notes
- 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
- Notes for Numerical Methods by M Usman Hamid @notes
- * 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
- MTH103: Exploring Quantitative Skills @atiq
- form the real world such as algebraic models with equations, rates, ratios, and percentages will be discussed... to functions. === Algebraic Models: === Linear equations, quadratic equations and their applications in social and economic problems. === Simple and Compound Intere
- Notes of Mathematical Method @bsc
- otes of Mathematical Method:Ch04 System of Linear Equations]] * [[BSc:Notes of Mathematical Method:Ch05 Det... Mathematical Method:Ch09 First Order Differential Equations]] * [[BSc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations]] * [[BSc:Notes of Mathematical Method:Ch11 The
- Mathematics 10 (Science Group) @matric
- bahadar-ali-khan.pdf }} * {{:matric:quadratic-equations.pdf|Quadratic Equation by Ali Hassan Tahir}} ===... Download PDF ~ 1.5MB}} ====== Unit 01: Quadratic Equations ====== These notes are send by Ms. [[:people:amir... wnload PDF}} ====== Unit 02: Theory of Quadratic Equations ====== These notes are send by Mr. [[:people:amir
- Functional Analysis by M Usman Hamid and Zeeshan Ahmad @notes
- 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
- Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
- }}{2}.\end{align} Thus the solutions of the given equations are $\dfrac{1\pm\sqrt{5}}{2}$. =====Question 5(ii... t{1-i}\end{align} Thus the solutions of the given equations are $1\pm\sqrt{1-i}$. =====Question 5(iv)===== F... z=2i.\end{align} Thus, the solutions of the given equations are $\pm 2i$. ====Go To==== <text align="left"><
- Question 6, Exercise 1.3 @math-11-kpk:sol:unit01
- c{1\pm \sqrt{3}i}{2}$$ The value of $z$ from both equations, we have $$z=\pm \dfrac{1}{2}\pm \dfrac{\sqrt{3}}... 1\pm \sqrt{3}i$ are the solutions of the required equations. =====Question 6(iii)===== Find the solutions of... i}{2}\end{align} Thus, the solutions of the given equations are $1$, $-\dfrac{1}{2}\pm \dfrac{\sqrt{3}i}{2}$.