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        <title>MathCity.org</title>
        <description>Merging man &amp; maths</description>
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            <title>MathCity.org</title>
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        <item>
            <title>Khuram Ali Khan</title>
            <link>https://www.mathcity.org/khuram</link>
            <description>Khuram Ali Khan



Khuram Ali Khan, PhD

Associate Professor

Department of Mathematics

University of Sargodha

Sargodha - PAKISTAN.

Email: &lt;khuram@MathCity.org&gt;



Field of Research: Difference and functional equations, Real functions, Mathematical inequalities involving convex functions, Time Scales Calculus, Soft Sets</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Fri, 13 Jun 2025 12:03:59 +0000</pubDate>
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            <title>Preparation Guide</title>
            <link>https://www.mathcity.org/msc/syllabus/uos/preparation_guide</link>
            <description>Preparation Guide

This guide is made by Mr. Anwar Khan, PhD. We are very thankful to him for sharing. This guide is helpful to prepare papers for MSc Mathematics (annual system) from University of Sargodha. 

Part 1

1. REAL ANAYSIS

	*  Real Analysis (Notes by Syed Gul Shah)
	*  Chapter # 08 sequences and series of Mathematical Method by SM Yousaf (solutions are available $z= f(x,y)$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 17:00:44 +0000</pubDate>
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            <title>Notes of Mathematics</title>
            <link>https://www.mathcity.org/notes</link>
            <description>Notes of Mathematics

[Notes of Mathematics]
Mathematics is a language of science and is a basic need for physical or natural sciences as well as social sciences. On this page, notes on different subjects related to mathematics are listed. These notes or resources might be helpful for ADS or BS or MSc or MPhil Mathematics. These notes are send by different students or teachers. We are very thankful to them for sending us these notes. These notes are provided as it is as open educational resource…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Mon, 25 May 2026 18:19:50 +0000</pubDate>
        </item>
        <item>
            <title>ADS/BSc</title>
            <link>https://www.mathcity.org/bsc</link>
            <description>ADS/BSc

One this page we have listed notes/resources widely used in BSc or in Associated Degree of Science (ADS). This includes notes of some famous books and other resources. 

Notes of Famous Books

Notes of Calculus with Analytic Geometry

Notes of Calculus with Analytic Geometry



Notes of Mathematical Method

Notes of Mathematical Method



Introduction to Mechanics

Introduction to Mechanics



Other notes

Notes of Mechanics

Notes of Mechanics written by different authors for BSc or BS…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sat, 13 Jan 2024 11:00:49 +0000</pubDate>
        </item>
        <item>
            <title>MATH 103: Number Theory</title>
            <link>https://www.mathcity.org/atiq/math-103</link>
            <description>MATH 103: Number Theory

Objectives of the course

This course shall assume no experience of background in number theory of theoretical mathematics. The course introduces various strategies for composing mathematical proofs.

Course contents

Number systems: natural numbers, integers, rational numbers, real numbers, complex numbers, the equivalence and the difference of cardinality between them, de Morvie’s theorem with application, hyperbolic ad logarithmic functions, introduction to number the…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:17 +0000</pubDate>
        </item>
        <item>
            <title>MATH-300: Basic Mathematics for Chemist</title>
            <link>https://www.mathcity.org/atiq/math-300</link>
            <description>MATH-300: Basic Mathematics for Chemist

Without mathematics the sciences cannot be understood, nor made clear, nor taught, nor learned. (Roger Bacon, 1214–1292)

Course contents

Introdtuction; Review of basic algebra, Graphs and their significance in chemistry. Trigonometric, logarithmic and exponential functions. Differentiation, partial differentiation, differential equations and their use in chemical problems. Concept of maxima and minima. integration, Determinants and Matrices, their prope…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Wed, 31 May 2023 05:38:37 +0000</pubDate>
        </item>
        <item>
            <title>MTH604: Fixed Point Theory and Applications (Spring 2020)</title>
            <link>https://www.mathcity.org/atiq/sp20-mth604</link>
            <description>~~DISCUSSION~~

MTH604: Fixed Point Theory and Applications (Spring 2020)

Course Objectives:

This course is intended as a brief introduction to the subject with a focus on Banach Fixed Point theorems fixed point theorem and its application to nonlinear differential equations, nonlinear integral equations, real and complex implicit functions theorems and system of nonlinear equations. Some generalizations and similar results e. g.  Kannan Fixed Point theorems, Banach Fixed Point theorem for mul…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:41 +0000</pubDate>
        </item>
        <item>
            <title>A-Course of Mathematics (Paper A &amp; B)</title>
            <link>https://www.mathcity.org/bsc/paper_pattern/sargodha_university/a-course_of_mathematics</link>
            <description>A-Course of Mathematics (Paper A &amp; 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.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:55:54 +0000</pubDate>
        </item>
        <item>
            <title>General Mathematics (Paper A &amp; B)</title>
            <link>https://www.mathcity.org/bsc/paper_pattern/sargodha_university/general_mathematics</link>
            <description>General Mathematics (Paper A &amp; 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.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:55:55 +0000</pubDate>
        </item>
        <item>
            <title>CHEM-501: Basic Mathematics for Chemist</title>
            <link>https://www.mathcity.org/atiq/chem-501</link>
            <description>CHEM-501: Basic Mathematics for Chemist

Course contents

Introdtuction; Review of basic algebra, Graphs and their significance in chemistry. Trigonometric, logarithmic and exponential functions. Differentiation, partial differentiation, differential equations and their use in chemical problems. Concept of maxima and minima. integration, Determinants and Matrices, their properties and use in chemical problems. solutions of linear equations (simple, determinant and matrices methods), operator the…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:04 +0000</pubDate>
        </item>
        <item>
            <title>MATH-301: Complex Analysis</title>
            <link>https://www.mathcity.org/atiq/math-301</link>
            <description>MATH-301: Complex Analysis



Objectives of the course

This is an introductory course in complex analysis, giving the basics of the theory along with applications, with an emphasis on applications of complex analysis and especially conformal mappings. Students should have a background in real analysis (as in the course Real Analysis I), including the ability to write a simple proof in an analysis context. $\cot 2z$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:18 +0000</pubDate>
        </item>
        <item>
            <title>MTH633: Advanced Convex Analysis (Spring 2019)</title>
            <link>https://www.mathcity.org/atiq/sp19-mth633</link>
            <description>MTH633: Advanced Convex Analysis (Spring 2019)

Convex sets, convex hull, their properties, separation theorems, hyperplane, Best approximation theorem and its applications, Farkas and Gordan Theorems, Extreme points and Polyhedral. Convex functions, Basic Definitions, properties, various generalizations, differentiable convex functions, subgradient, characterization and applications in linear and nonlinear optimization, complementarity problems and its equivalent formulations.$\mathbb{R}$$\math…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:40 +0000</pubDate>
        </item>
        <item>
            <title>Syllabus for UoS (Private only)</title>
            <link>https://www.mathcity.org/msc/syllabus/uos</link>
            <description>Syllabus for UoS (Private only)



Syllabus and scheme of studies for private students doing MSc Mathematics from University of Sargodha, Sargodha.

The syllabus has been changed and few optional subjects has been dropped. Please be alert  ---  2017/08/25 17:05</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:50:15 +0000</pubDate>
        </item>
        <item>
            <title>Pure Mathematics (Paper A &amp; B)</title>
            <link>https://www.mathcity.org/bsc/paper_pattern/sargodha_university/pure_mathematics</link>
            <description>Pure Mathematics (Paper A &amp; 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)</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:55:59 +0000</pubDate>
        </item>
        <item>
            <title>MATH-505: Complex Analysis</title>
            <link>https://www.mathcity.org/atiq/math-505</link>
            <description>MATH-505: Complex Analysis

Provisional Results

MMAF13E101	=	65	

MMAF13E102	=	65	

MMAF13E103	=	58	

MMAF13E104	=	58	

MMAF13E105	=	78	

MMAF13E106	=	62	

MMAF13E107	=	50	

MMAF13E108	=	75	

MMAF13E109	=	61	

MMAF13E110	=	50	

MMAF13E111	=	50	

MMAF13E112	=	85	$\cot 2z$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:23 +0000</pubDate>
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