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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>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>MTH604: Fixed Point Theory and Applications (Fall 2022)</title>
            <link>https://www.mathcity.org/atiq/fa22-mth604</link>
            <description>~~DISCUSSION~~

MTH604: Fixed Point Theory and Applications (Fall 2022)

[FPTA]

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 f…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Fri, 06 Jan 2023 04:37:11 +0000</pubDate>
        </item>
        <item>
            <title>MTH604: Fixed Point Theory and Applications</title>
            <link>https://www.mathcity.org/atiq/sp18-mth604</link>
            <description>MTH604: Fixed Point Theory and Applications

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 multi-valued mappings are also ed…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:39 +0000</pubDate>
        </item>
        <item>
            <title>MTH604: Fixed Point Theory and Applications (Spring 2021)</title>
            <link>https://www.mathcity.org/atiq/sp21-mth604</link>
            <description>~~DISCUSSION~~

MTH604: Fixed Point Theory and Applications (Spring 2021)

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>Mon, 22 Feb 2021 15:12:31 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis I (Fall 2021)</title>
            <link>https://www.mathcity.org/atiq/fa21-mth321</link>
            <description>MTH321: Real Analysis I (Fall 2021)
Discussion is available at the end of this page. One is free to ask any question or comment.


[Photo-illustration of Zeno&#039;s Paradox]

At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphas…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Fri, 28 Oct 2022 11:10:02 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis I (Spring 2020)</title>
            <link>https://www.mathcity.org/atiq/sp20-mth321</link>
            <description>MTH321: Real Analysis I (Spring 2020)
Discussion is available at the end of this page. One is free to ask any question or comment.


~~DISCUSSION~~
[Photo-illustration of Zeno&#039;s Paradox]

At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and fun…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:41 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis I (Spring 2023)</title>
            <link>https://www.mathcity.org/atiq/sp23-mth321</link>
            <description>MTH321: Real Analysis I (Spring 2023)


~~DISCUSSION~~
[Photo-illustration of Zeno&#039;s Paradox]

At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform con…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Wed, 14 Jun 2023 14:47:57 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis 1</title>
            <link>https://www.mathcity.org/atiq/fa14-mth321</link>
            <description>MTH321: Real Analysis 1



At the end of this course the students will be able to uunderstand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous func…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:06 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis I (Fall 2015)</title>
            <link>https://www.mathcity.org/atiq/fa15-mth321</link>
            <description>MTH321: Real Analysis I (Fall 2015)



At the end of this course the students will be able to uunderstand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about con…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:08 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis I (Fall 2018)</title>
            <link>https://www.mathcity.org/atiq/fa18-mth321</link>
            <description>MTH321: Real Analysis I (Fall 2018)



At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about cont…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:10 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis I (Fall 2019)</title>
            <link>https://www.mathcity.org/atiq/fa19-mth321</link>
            <description>MTH321: Real Analysis I (Fall 2019)



[Photo-illustration of Zeno&#039;s Paradox by Juliana Jiménez Jaramillo. Photo by Twildlife/Thinkstock]

At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Def…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:11 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis I (Fall 2022)</title>
            <link>https://www.mathcity.org/atiq/fa22-mth321</link>
            <description>MTH321: Real Analysis I (Fall 2022)


~~DISCUSSION~~
[Photo-illustration of Zeno&#039;s Paradox]

At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform conti…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Mon, 15 May 2023 07:16:43 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis 1</title>
            <link>https://www.mathcity.org/atiq/sp14-mth321</link>
            <description>MTH321: Real Analysis 1



At the end of this course the students will be able to uunderstand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous func…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:29 +0000</pubDate>
        </item>
        <item>
            <title>MTH321: Real Analysis 1 (Spring 2015)</title>
            <link>https://www.mathcity.org/atiq/sp15-mth321</link>
            <description>MTH321: Real Analysis 1 (Spring 2015)



At the end of this course the students will be able to uunderstand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about c…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:32 +0000</pubDate>
        </item>
        <item>
            <title>MTH604: Fixed Point Theory and Applications</title>
            <link>https://www.mathcity.org/atiq/fa14-mth604</link>
            <description>MTH604: Fixed Point Theory and Applications

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 multi-valued mappings are also ed…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:08 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Fall 2021)</title>
            <link>https://www.mathcity.org/atiq/fa21-mth322</link>
            <description>MTH322: Real Analysis II (Fall 2021)

This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in $\int_{1}^{\infty }{{{x}^{-p}} dx}$$p$$f\in \mathcal{R}[a,b]$$b\ge a$$f(x)\ge 0$$x\ge a$$\int_{a}^{\infty }{f(x) dx}$$M&gt;0$$\int\limits_{a}^{b}{f(x)\,dx} \le M$$b\ge a$$f\in \mathcal{R}[a,b]$$b\ge a$…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Thu, 30 Dec 2021 19:16:17 +0000</pubDate>
        </item>
        <item>
            <title>MTH324: Complex Analysis (Fall 2025)</title>
            <link>https://www.mathcity.org/atiq/fa25-mth324</link>
            <description>MTH324: Complex Analysis (Fall 2025)

[MTH324: Complex Analysis (Fall 2025) Courtesy: Copilot]

Course Objectives:

At the end of this course the students will be able to understand the basic properties of functions of a complex variable with the theory of analytic functions and its applications. 

Course contents:</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 28 Sep 2025 07:23:19 +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>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>
        </item>
        <item>
            <title>MTH251: Set Topology (Spring 18)</title>
            <link>https://www.mathcity.org/atiq/sp18-mth251</link>
            <description>MTH251: Set Topology (Spring 18)

[Set Topology]
Topology is an important branch of mathematics that studies all the “qualitative” or “discrete” properties of continuous objects such as manifolds, i.e. all the properties that aren&#039;t changed by any continuous transformations except for the singular (infinitely extreme) ones.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Fri, 07 Feb 2025 11:25:49 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Fall 2015)</title>
            <link>https://www.mathcity.org/atiq/fa15-mth322</link>
            <description>MTH322: Real Analysis II (Fall 2015)

Course Contents:

Sequences of functions: convergence, uniform convergence, uniform convergence and continuity, uniform convergence and integration, uniform convergence and differentiation, the exponential and logarithmic function, the trigonometric functions.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:09 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Fall 2016)</title>
            <link>https://www.mathcity.org/atiq/fa16-mth322</link>
            <description>~~DISCUSSION:off~~

MTH322: Real Analysis II (Fall 2016)
Do you have questions or comments? Please use Discussion at the end of this page.

This course is offered to MSc, Semester III at Department of Mathematics, COMSATS Institute of Information Technology, Attock campus. The is course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:09 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Fall 2017)</title>
            <link>https://www.mathcity.org/atiq/fa17-mth322</link>
            <description>MTH322: Real Analysis II (Fall 2017)

This course is offered to MSc, Semester III at Department of Mathematics, COMSATS Institute of Information Technology, Attock campus. The is course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:10 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Fall 2018)</title>
            <link>https://www.mathcity.org/atiq/fa18-mth322</link>
            <description>MTH322: Real Analysis II (Fall 2018)

This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:11 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Fall 2019)</title>
            <link>https://www.mathcity.org/atiq/fa19-mth322</link>
            <description>MTH322: Real Analysis II (Fall 2019)

This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers. these notions included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:12 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Fall 2020)</title>
            <link>https://www.mathcity.org/atiq/fa20-mth322</link>
            <description>MTH322: Real Analysis II (Fall 2020)

This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:14 +0000</pubDate>
        </item>
        <item>
            <title>MTH251: Set Topology (Spring 25)</title>
            <link>https://www.mathcity.org/atiq/s625-mth251</link>
            <description>MTH251: Set Topology (Spring 25)

[MTH251 Set Topology]

Set topology is a branch of mathematics that studies the properties of shapes and spaces that remain unchanged even if they are stretched, twisted, or deformed (without tearing or gluing). It helps us understand concepts like continuity, connectedness, and boundaries.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 01 Feb 2026 14:28:11 +0000</pubDate>
        </item>
        <item>
            <title>MTH633: Advanced Convex Analysis</title>
            <link>https://www.mathcity.org/atiq/sp14-mth633</link>
            <description>MTH633: Advanced Convex Analysis

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.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:31 +0000</pubDate>
        </item>
        <item>
            <title>MTH633: Advanced Convex Analysis (Spring 2015)</title>
            <link>https://www.mathcity.org/atiq/sp15-mth633</link>
            <description>MTH633: Advanced Convex Analysis (Spring 2015)

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.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:33 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Spring 2016)</title>
            <link>https://www.mathcity.org/atiq/sp16-mth322</link>
            <description>MTH322: Real Analysis II (Spring 2016)

This course was teach to MSc III and IV.

Course Contents:

Sequences of functions: convergence, uniform convergence, uniform convergence and continuity, uniform convergence and integration, uniform convergence and differentiation, the exponential and logarithmic function, the trigonometric functions.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:34 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Spring 2017)</title>
            <link>https://www.mathcity.org/atiq/sp17-mth322</link>
            <description>~~DISCUSSION:closed~~

MTH322: Real Analysis II (Spring 2017)
Do you have questions or comments? Please use Discussion at the end of this page.

This course is offered to MSc, Semester III at Department of Mathematics, COMSATS Institute of Information Technology, Attock campus. The is course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:35 +0000</pubDate>
        </item>
        <item>
            <title>MTH633: Advanced Convex Analysis (Spring 2017)</title>
            <link>https://www.mathcity.org/atiq/sp17-mth633</link>
            <description>MTH633: Advanced Convex Analysis (Spring 2017)

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.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:36 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Spring 2019)</title>
            <link>https://www.mathcity.org/atiq/sp19-mth322</link>
            <description>MTH322: Real Analysis II (Spring 2019)

This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:39 +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>MTH322: Real Analysis II (Spring 2022)</title>
            <link>https://www.mathcity.org/atiq/sp22-mth322</link>
            <description>MTH322: Real Analysis II (Spring 2022)

This course is offered to BS, Semester VI at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Wed, 13 Apr 2022 05:45:43 +0000</pubDate>
        </item>
        <item>
            <title>MTH322: Real Analysis II (Spring 2023)</title>
            <link>https://www.mathcity.org/atiq/sp23-mth322</link>
            <description>MTH322: Real Analysis II (Spring 2023)

[MTH322: Real Analysis II (Spring 2023)]
This course is offered to BS, Semester VI at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notions included in $f\in \mathcal{R}[a,b]$$b\ge a$$f(x)\ge 0$$x\ge a$$\int_{\,a}^{\,\infty }{f(x)\,dx}$$M&gt;0$$\int\limits_{a}^{b}{f(x)\,dx}\leq M$$b\ge a$$f(x)$$g(x)$$x&gt;a$$\li…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Thu, 15 Jun 2023 01:08:47 +0000</pubDate>
        </item>
        <item>
            <title>MTH251: Set Topology (Spring 25)</title>
            <link>https://www.mathcity.org/atiq/sp25-mth251</link>
            <description>MTH251: Set Topology (Spring 25)

[MTH251 Set Topology]

Set topology is a branch of mathematics that studies the properties of shapes and spaces that remain unchanged even if they are stretched, twisted, or deformed (without tearing or gluing). It helps us understand concepts like continuity, connectedness, and boundaries.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Tue, 29 Apr 2025 10:10:47 +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-305: Real Analysis-I</title>
            <link>https://www.mathcity.org/atiq/math-305</link>
            <description>MATH-305: Real Analysis-I

Objectives of the course:

This is the first rigorous course in analysis and has a theoretical emphasis. It tegorously develops the fundamental ideas of calculus and is aimed to develop the students’ ability to deal with abstract mathematics and mathematical proofs.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:21 +0000</pubDate>
        </item>
        <item>
            <title>CSC456: Stochastic Processes (Spring 2026)</title>
            <link>https://www.mathcity.org/atiq/sp26-csc456</link>
            <description>CSC456: Stochastic Processes (Spring 2026)

[Stochastic Processes (Spring 2026), Image Courtesy: Gemini]

Course Learning Outcomes:

	*  To define basic concepts from the theory of Markov chains and present proofs for the most important theorems.
	*  To compute probabilities of transition between states and return to the initial state after long time intervals in Markov chains.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Wed, 03 Jun 2026 08:38:47 +0000</pubDate>
        </item>
        <item>
            <title>MTH424: Convex Analysis (Fall 2020)</title>
            <link>https://www.mathcity.org/atiq/fa20-mth424</link>
            <description>MTH424: Convex Analysis (Fall 2020)

[Convex Analysis]

Objectives:

At the end of this course the students will be able to understand the concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite inequalities and their applications. Prepare students to be self independent and enhance their mathematical ability by giving them home work and projects.$f(x)=x$$\mathbb{R}$$f(x)=x^2$$\mathbb{R}$$f:[a,b]\to \mathbb{…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:16 +0000</pubDate>
        </item>
        <item>
            <title>MTH103: Exploring Quantitative Skills</title>
            <link>https://www.mathcity.org/atiq/fa23-mth103</link>
            <description>MTH103: Exploring Quantitative Skills

Course Objectives

This course aims to develop the basic mathematical skills which ultimately enhance problem-solving skills using inductive and deductive reasoning, Polya&#039;s strategy, and sets. The basic concepts will be develop with applications form the real world such as algebraic models with equations, rates, ratios, and percentages will be discussed. Students will also explore linear models, including rectangular coordinates, functions, empowering them…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Wed, 27 Sep 2023 13:47:12 +0000</pubDate>
        </item>
        <item>
            <title>MTH731: Topology</title>
            <link>https://www.mathcity.org/atiq/fa24-mth731</link>
            <description>MTH731: Topology

[MTH731 Topology]

Contents

Introduction to Topological Structures and basic concepts (Revision) Topological Groups, Connected Spaces, Path Connected Spaces, Compact Spaces, Locally Connectedness and Locally Compactness, Homeomorphism and Topological Properties, n-spheres and Projective Spaces, The Separation axioms, Normal Spaces, The Urysohn Lemma, Numerability axioms, Covering spaces, The Tychnoff Theorem, Paracompact spaces, Manifolds (Brief Introduction), Imbedding of Man…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Wed, 25 Dec 2024 18:38:41 +0000</pubDate>
        </item>
        <item>
            <title>CSC456: Stochastic Processes (Fall 2025)</title>
            <link>https://www.mathcity.org/atiq/fa25-csc456</link>
            <description>CSC456: Stochastic Processes (Fall 2025)

[Stochastic Processes (Fall 2025), Image Courtesy: Gemini]

Course Objectives:

	*  To define basic concepts from the theory of Markov chains and present proofs for the most important theorems.
	*  To compute probabilities of transition between states and return to the initial state after long time intervals in Markov chains.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 28 Dec 2025 14:20:45 +0000</pubDate>
        </item>
        <item>
            <title>MTH231: Linear Algebra</title>
            <link>https://www.mathcity.org/atiq/sp14-mth231</link>
            <description>MTH231: Linear Algebra

Introduction

Linear algebra is the branch of mathematics deals with algebraic equations, spaces (vector and scalar), linear mappings between such spaces etc. Combined with the theory of calculus, linear algebra ensures to have methodologies to compute the solutions of system of equations (algebraic and differential). Techniques from linear algebra are also used in analytically geometry, engineering, physics, natural sciences and computer sciences and particularly in econ…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:27 +0000</pubDate>
        </item>
        <item>
            <title>MTH424: Convex Analysis (Spring 2024)</title>
            <link>https://www.mathcity.org/atiq/sp24-mth424</link>
            <description>MTH424: Convex Analysis (Spring 2024)

[Convex Analysis]

Objectives:

At the end of this course the students will be able to understand the concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite inequalities and their applications. Prepare students to be self independent and enhance their mathematical ability by giving them home work and projects.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Fri, 29 Mar 2024 03:48:00 +0000</pubDate>
        </item>
        <item>
            <title>MTH424: Convex Analysis (Spring 2025)</title>
            <link>https://www.mathcity.org/atiq/sp25-mth424</link>
            <description>MTH424: Convex Analysis (Spring 2025)

[Convex Analysis]
Convex analysis is a branch of mathematics that studies convex sets and convex functions. A set is convex if a straight line between any two points in the set always stays inside it. This field is important in optimization, economics, and engineering. It helps in solving real-world problems like minimizing costs, maximizing profits, and designing efficient systems. Convex analysis is widely used in machine learning, finance, and physics. 😊…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Mon, 16 Jun 2025 18:51:28 +0000</pubDate>
        </item>
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