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        <title>MathCity.org Beta</title>
        <description>This is beta site.</description>
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       <dc:date>2026-06-06T22:10:12+00:00</dc:date>
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        <title>MathCity.org Beta</title>
        <link>https://beta.mathcity.org/</link>
        <url>https://beta.mathcity.org/_media/logo.png</url>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>B-Course of Mathematics (Paper A &amp; B)</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/sargodha_university/b-course_of_mathematics?rev=1737476035&amp;do=diff</link>
        <description>B-Course of Mathematics (Paper A &amp; B)

&lt;WRAP center round info 60%&gt;
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.
&lt;/WRAP&gt;$(\lambda ,\mu )$</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>General Mathematics (Paper A &amp; B)</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/sargodha_university/general_mathematics?rev=1737476035&amp;do=diff</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>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Notes of Calculus with Analytic Geometry</title>
        <link>https://beta.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry?rev=1737476035&amp;do=diff</link>
        <description>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…</description>
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        <title>Notes of Vector Analysis</title>
        <link>https://beta.mathcity.org/bsc/notes_of_vector_analysis?rev=1737476035&amp;do=diff</link>
        <description>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.
&lt;wrap help&gt;The books of these notes is not known. If you know about the book, please inform us.&lt;/wrap&gt;$f$$P$</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Number Theory by Prof. M. Tanveer</title>
        <link>https://beta.mathcity.org/bsc/number-theory-by-prof-m-tanveer?rev=1737476035&amp;do=diff</link>
        <description>Number Theory by Prof. M. Tanveer

[Number Theory by Prof. M. Tanveer]
These notes are very helpful to prepare one of the sections of mathematics for BSc. Also these notes can be used for other classes. 
 Author:   Prof. M. Tanveer   Type:  Handwritten   Format:  PDF (972 kB)    Pages:  $a,b, \in \mathbb{Z}$$a \neq 0$$a$$b$$c\in \mathbb{Z}$$b=ac$$a,b, \in \mathbb{Z}$$c \in \mathbb{Z}$$a$$b$$c | a$$c | b$</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
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        <title>Chapter 04: Techniques of Integration</title>
        <link>https://beta.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch04_techniques_of_integration_farooq?rev=1737476035&amp;do=diff</link>
        <description>Chapter 04: Techniques of Integration

&lt;div&gt;&lt;img src=&quot;https://dl.dropbox.com/u/64787761/integration.jpg&quot; title=&quot;Integral of the one variable function&quot; class=&quot;mediaright&quot; alt=&quot;Integral of the one variable function&quot; /&gt;&lt;/div&gt;
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</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 08: Infinite Series</title>
        <link>https://beta.mathcity.org/bsc/notes_of_mathematical_method/ch08_infinite_series?rev=1737476035&amp;do=diff</link>
        <description>Chapter 08: Infinite Series

&lt;div&gt;&lt;img src=&quot;http://mathcity.org/images/series.gif&quot; title=&quot;Geometric series&quot; class=&quot;mediaright&quot; alt=&quot;Geometric series&quot; /&gt;&lt;/div&gt;
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 theo…</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 09: First Order Differential Equations</title>
        <link>https://beta.mathcity.org/bsc/notes_of_mathematical_method/ch09_first_order_differential_equations?rev=1737476035&amp;do=diff</link>
        <description>Chapter 09: First Order Differential Equations

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Contents and summary

	*  D.E and their classification
	*  Formation of differential equation</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
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        <title>Notes of Mechanics by Kaleem Arif</title>
        <link>https://beta.mathcity.org/bsc/notes_of_mechanics/kaleem_arif?rev=1737476035&amp;do=diff</link>
        <description>Notes of Mechanics by Kaleem Arif

&lt;div&gt;
&lt;img src=http://mathcity.org/images/mechanics.png class=&quot;mediacenter&quot; align=&quot;center&quot; /&gt;

If a particle is moving down on an inclined plane, then constraint on its motion is its contact with plane. Any displacement along the plane is consistent with the constraint. If the force does no virtual work then the constraint is called workless. 

For Single Particle: A particle subjected to workless constraint is in equilibrium iff zero virtual work done by the a…</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Notes of Vector Analysis (Online View)</title>
        <link>https://beta.mathcity.org/bsc/notes_of_vector_analysis/view?rev=1737476035&amp;do=diff</link>
        <description>Notes of Vector Analysis (Online View)

PDF View of Notes of the Vector Analysis is given on this page. These notes are helpful for BSc or equivalent classes. PDF file of the notes can also be downloaded from this page. Contents of these notes are available</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Syllabus/Model Papers for Sargodha University</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/sargodha_university?rev=1737476035&amp;do=diff</link>
        <description>Syllabus/Model Papers for Sargodha University

&lt;div&gt;
&lt;img src=http://www.mathcity.org/images/UoS_Gate.jpg class=&quot;mediaright&quot; align=&quot;right&quot; /&gt;
&lt;/div&gt;



Syllabus for the subjects General Mathematics, A-Course of Mathematics and B-Course of Mathematics for BSc (private and regular) from University of Sargodha, Sargodha - PAKISTAN. Every subject consists of two papers of 100 marks each. In every paper there are three sections with four questions. A student have to attempt two questions from each se…</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Paper Pattern for General Mathematics</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/punjab_university/b.sc._paper_pattern_for_general_mathematics?rev=1737476035&amp;do=diff</link>
        <description>Paper Pattern for General Mathematics

Paper pattern for General Mathematics chapter-wise for University of the Punjab, Lahore is given on this page. This pattern is extracted from syllabus and old papers, so use at your own risk. This pattern is made by Prof. Muhammad Farooq.
&lt;img src=&quot;../../../files/bsc/BSC_maths_paper_pattern_general_farooq.gif&quot; alt=&quot;BSc Mathematics Paper Pattern&quot; class=&quot;mediacenter img-responsive&quot; /&gt;</description>
    </item>
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        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Syllabus &amp; Paper Pattern for General Mathematics (Split Program)</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/punjab_university/b.sc._paper_pattern_for_general_mathematics_split_program?rev=1737476035&amp;do=diff</link>
        <description>Syllabus &amp; 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…</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Paper Pattern for A-Course of Mathematics</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/punjab_university/b.sc._paper_pattern_for_mathematics_a_course?rev=1737476035&amp;do=diff</link>
        <description>Paper Pattern for A-Course of Mathematics

Paper pattern for A-Course of Mathematics, chapter-wise for University of the Punjab, Lahore is given on this page. This pattern is extracted from syllabus and old papers, so use at your own risk.


&lt;img src=&quot;../../../files/bsc/BSC_maths_paper_pattern_farooq_a.gif&quot; alt=&quot;BSc Mathematics Paper Pattern&quot; class=&quot;mediacenter img-responsive&quot; /&gt;


&lt;callout type=</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Paper Pattern for B-Course of Mathematics</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/punjab_university/b.sc._paper_pattern_for_mathematics_b_course?rev=1737476035&amp;do=diff</link>
        <description>Paper Pattern for B-Course of Mathematics

Paper pattern for B-Course of Mathematics chapter-wise for University of the Punjab, Lahore is given on this page. This pattern is extracted from syllabus and old papers, so use at your own risk. This pattern is made by Prof. Muhammad Farooq.
&lt;img src=&quot;../../../files/bsc/BSC_maths_paper_pattern_farooq_b.gif&quot; alt=&quot;BSc Mathematics Paper Pattern Paper A&quot; 
 class=&quot;mediacenter img-responsive&quot; /&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/bsc/paper_pattern/sargodha_university/applied_mathematics?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Applied Mathematics (Paper A &amp; B)</title>
        <link>https://beta.mathcity.org/bsc/paper_pattern/sargodha_university/applied_mathematics?rev=1737476035&amp;do=diff</link>
        <description>Applied Mathematics (Paper A &amp; 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)

$(\lambda ,\mu )$</description>
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