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        <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>
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        <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>
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