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General Mathematics (Paper A & B)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:55:55 +0000

General Mathematics (Paper A & B) This subject is consists of two papers of 100 marks each. One is called “Paper A” and other is called “Paper B”. This syllabus is for 1st Annual 2015 and onward organized by University of Sargodha (UoS), Sargodha.

Syllabus & Paper Pattern for General Mathematics (Split Program)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:55:21 +0000

Syllabus & Paper Pattern for General Mathematics (Split Program) There was one examination after two years for BA/BSc Program from University of Punjab (PU), Lahore but from this year (2016), PU has made changes in its examination policies for the said program. The BA/BSc Program has been split into two parts. Syllabus is break into two part year wise. After the each year of the program candidate has to appeared in examination instead of appearing after two year. In this regards syllabus of Gen…

A-Course of Mathematics (Paper A & B)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:55:54 +0000

A-Course of Mathematics (Paper A & B) This subject is consists of two papers of 100 marks each. One is called “Paper A” and other is called “Paper B”. This page is updated on February 15, 2015. This syllabus is for 1st Annual 2015 and onward organized by University of Sargodha, Sargodha.

Notes of Vector Analysis

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:40:54 +0000

Notes of Vector Analysis [Vector Ananlysis] Notes of the vector analysis are given on this page. These notes are helpful for BSc or equivalent classes. These notes are written by Amir Taimur Mohmand of University of Peshawar. The books of these notes is not known. If you know about the book, please inform us.$f$$P$

Chapter 01: Real Numbers, Limits and Continuity

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:45:28 +0000

Chapter 01: Real Numbers, Limits and Continuity [Chapter 01 of Calculus with Analytic Geometry] Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. The notes of this chapter is written by Prof. $\mathbb{R}$$\mathbb{R}$$\mathbb{R}$

Chapter 02: The Derivative

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:45:28 +0000

Chapter 02: The Derivative [Chapter 02: The Derivative BSc Calculus] Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Here are few online resource, which are very helpful to find derivative.

Chapter 04: Techniques of Integration

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:45:30 +0000

Chapter 04: Techniques of Integration These notes are written by Prof. Muhammad Farooq. We are very thankful to him for providing these notes. * Anti-derivative * Table of integrals * Integration by substitution * Integration by parts * Column (or tabular) integration

Vector Analysis by Hameed Ullah: Notes

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:41:13 +0000

Vector Analysis by Hameed Ullah: Notes [right triangle in semi circle] Note of vector analysis by Hammed Ullah. These notes are send by Umer Asghar, we are very thankful to him for providing these notes. These notes are for helpful for undergraduate level (BSc or BS). Name Notes of vector analysis

Chapter 09: Functions of Several Variables

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:45:33 +0000

Chapter 09: Functions of Several Variables * Homogeneous Functions * Differentials * Change of variables, the chain rule * Implicit functions * Directional derivative * Tangent planes and normal lines * Extrema of functions of two variables

Chapter 01: Complex Numbers

anonymous@undisclosed.example.com (Anonymous) — Mon, 11 Dec 2023 12:59:57 +0000

Chapter 01: Complex Numbers [Chapter 01 Complex Numbers Methods] Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. A complex number is an element $(x,y)$ of the set $$ \mathbb{R}^2=\{(x,y): x,y \in \mathbb{R}\} $$ obeying the following rules of addition and multiplication.$z_1=(x_1,y_1)$$z_2=(x_2,y_2)$$z_1+z_2= (x_1+x_2, y_1+y_2)$$z_1 z_2 = (x_1 x_2 - y_1 y_2, x_1 y_2+y_1 x_2)$$\mathbb{R}^2$$\mathbb{C}$

Pure Mathematics (Paper A & B)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:55:59 +0000

Pure Mathematics (Paper A & B) This paper consist of two papers of 100 marks each. One paper is called “Paper A” and the other is called “Paper B”. Paper A * NOTE: attempt two questions from each section. SECTION-I (4/12: 17,17,17,17)

Notes of Fourier Series

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:40:46 +0000

Notes of Fourier Series These notes are provided by Mr. Muhammad Ashfaq. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org Name Notes of Fluid Mechanics Author Qayyum Ullah Khan

Chapter 04: Techniques of Integration

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:45:29 +0000

Chapter 04: Techniques of Integration These notes are written by Mr. Aqeel Nawaz. We are very thankful to him for providing these notes. * Anti-derivative * Table of integrals * Integration by substitution * Integration by parts * Column (or tabular) integration

Some important series of functions

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:41:06 +0000

Some important series of functions On this page we are going to post some series of functions, which are used in mathematics at undergraduate level. * $\sinh x = x + \frac{x^3}{3!} + \frac{x^5}{5!} + \frac{x^7}{7!} +... \qquad -\infty

Chapter 08: Infinite Series

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:45:49 +0000

Chapter 08: Infinite Series Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Infinite series are of great importance in both pure and applied mathematics. They play a significant role in Physics and engineering. In fact many functions can be represented by infinite series. The theory of infinite series is developed through the use of special kind of function called sequence.

Chapter 11: The Laplace Transform

anonymous@undisclosed.example.com (Anonymous) — Sun, 29 May 2022 17:43:26 +0000

Chapter 11: The Laplace Transform Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin. This book is published by Ilmi Kitab Khana, Lahore - PAKISTAN. Solutions of Chapter 11: The Laplace Transform are given here in pdf form. $f$$[0,\infty)$$f$$\mathcal{L}(f)$$F$$ provided the above improper integral converges. We have $

B-Course of Mathematics (Paper A & B)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:55:55 +0000

B-Course of Mathematics (Paper A & B) This subject is consists of two papers of 100 marks each. One is called “Paper A” and other is called “Paper B”. This page is updated on February 15, 2015. This syllabus is for 1st Annual 2015 and onward organized by University of Sargodha, Sargodha.$(\lambda ,\mu )$

Notes of Calculus with Analytic Geometry

anonymous@undisclosed.example.com (Anonymous) — Mon, 30 May 2022 17:44:37 +0000

Notes of Calculus with Analytic Geometry [Calculus with Analytic Geometry by Dr. S. M. Yusuf and Prof. Muhammad Amin] Calculus with Analytic Geometry by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore-Pakistan is one of the books studied widely in Bachelor and undergraduate classes inclduing different engineering programs. There are total of ten chapters. Solutions of the books are given in the chapters listed below. The only aim to publish the soltuions is to pro…

Notes of Metric Spaces

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:40:51 +0000

Notes of Metric Spaces These notes are related to Section IV of B Course of Mathematics, paper B. We are very thankful to Mr. Tahir Aziz for sending these notes. Name Notes of Metric Space Author Prof. Shahzad Ahmad Khan Send by Tahir Aziz

Notes of Metric Spaces by Umer Asghar

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:40:48 +0000

Notes of Metric Spaces by Umer Asghar These notes are related to Section IV of B Course of Mathematics, paper B. We are very thankful to Mr. Umer Asghar for sending these notes. Name Notes of Metric Space Author Mr. Umer Asghar Pages 19 pages

Chapter 03: General Theorem, Intermediate Forms

anonymous@undisclosed.example.com (Anonymous) — Fri, 21 Apr 2023 13:46:07 +0000

Chapter 03: General Theorem, Intermediate Forms [BSc Calculus 3rd Chapter] What is in the this chapter? * Rolle's theorem * Geometrical interpretation of Rolle's theorem * The mean value theorems * Another form of mean value theorem * Increasing and decreasing functions$\frac{0}{0}$$\frac{\infty}{\infty}$$0\times \infty$$\infty \times 0$$\infty-\infty$$0^\infty, 1^\infty, \infty^0$

Chapter 07: Inner Product Spaces

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:45:48 +0000

Chapter 07: Inner Product Spaces Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Inner product spaces form and important topic of Functional Analysis. These are simply vector space over the field of real or complex numbers and with an inner product defined on them.

Chapter 09: PDF Viewer

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:52:23 +0000

Chapter 09: PDF Viewer Notes of the Chapter 09: Functions of Several Variables of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are thirteen exercises in this chapter.

Applied Mathematics (Paper A & B)

anonymous@undisclosed.example.com (Anonymous) — Sun, 07 Feb 2021 16:55:46 +0000

Applied Mathematics (Paper A & B) This paper consista of two papers of 100 marks each. One paper is called “Paper A” and other is called “Paper B”. Paper A * NOTE: attempt two questions from each section. SECTION-I (4/12: 17,17,17,17) $(\lambda ,\mu )$