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<title>DS - IIITH Resources</title>
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<h1>IIITH Resources</h1>
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<h3>A One Stop Destination for your IIITH Life.</h3>
<h5>A Website full of resources for your amazing journey at this wonderful institution.<br /></h5>
<h2 style="color: aquamarine;">Discrete Structures - {DS}</h2>
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<h2>
<a href="./index.html">Discrete Structures</a>
</h2>
<h2>
<a href="./index.html">{ DS }</a>
</h2>
<p>Discrete Structures, a course which forms the base of Computer Programming.<i> You hate it till
you love it</i>......</p>
<p>Professor : <a href="https://www.iiit.ac.in/people/faculty/ashokkdas/" rel="external"
target="_blank" style="color: Black;"> <b><i>Ashok Kumar Das</i></b></a> (Associate
Professor)</p>
<p>
Ph.D (IIT, Kharagpur)
</p>
</header>
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</article>
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<article>
<header>
<h2>Info</h2>
</header>
<p><i>Semester - 1</i></p>
<ul style="list-style-type: none">
<li><strong>Credits : 4</strong></li>
<li> </li>
<li>Lectures : 3</li>
<li>Tutorial : 1</li>
<li>Practical : 0</li>
</ul>
</article>
<article>
<header>
<h2>Grading Scheme</h2>
</header>
<a href="./Grading/Grading.png" class="image fit"><img
src="./Grading/Grading.png" alt="" /></a>
</article>
</section>
<section class="posts">
<article>
<header>
<h2>Major Pre-Requisite</h2>
</header>
<p>
<b>•</b> Sets <br />
<b>•</b> Relations & Functions <br />
<b>•</b> Permutations & Combinations <br />
<b>•</b> Mathematical Reasoning <br />
<b>•</b> Probability <br />
</p>
</article>
<article>
<header>
<h2>Books & Reference Material</h2>
</header>
<p> # Arranged in order of recommendation</p>
<p>
Title : <a
href="https://www.amazon.in/Discrete-Mathematics-Applications-M-K-Sen/dp/8131518663/ref=sr_1_1?keywords=Discrete+Mathematics%3A+Theory+and+Applications+by+Malik+and+Sen&qid=1636961802&sr=8-1"
rel="external" target="_blank" style="color: Black;"> <strong>Discrete Mathematics: Theory
and Applications</strong></a><br />
Author(s) : <strong>D.S. Malik</strong> & <strong>M.K. Sen</strong><br />
Publisher : <strong>CENGAGE publications</strong>
</p>
<p>
Title : <a
href="https://www.amazon.in/Discrete-Mathematics-Applications-Thomas-Koshy/dp/0124211801"
rel="external" target="_blank" style="color: Black;"> <strong>Discrete Mathematics with
Applications</strong></a><br />
Author(s) : <strong>Thomas Koshy</strong><br />
Publisher : <strong>Elsevier Academic Press</strong>
</p>
<p>
Title : <a
href="https://www.amazon.in/Elements-Discrete-Mathematics-Computer-Oriented/dp/1259006395"
rel="external" target="_blank" style="color: Black;"> <strong>Elements of Discrete
Mathematics: A Computer Oriented Approach</strong></a><br />
Author(s) : <strong>C.I. Liu</strong> & <strong>D.P. Mohapatra</strong><br />
Publisher : <strong>Elsevier Academic Press</strong>
</p>
<p>
Title : <a
href="https://www.amazon.in/DISCRETE-MATHEMATICAL-STRUCTURES-APPLICATIONS-COMPUTER/dp/0074631136"
rel="external" target="_blank" style="color: Black;"> <strong>Discrete Mathematical
Structures with applications to Computer Science</strong></a><br />
Author(s) : <strong>J.P. Trembley</strong> & <strong>R. Manohar</strong><br />
Publisher : <strong>McGraw Hill Education</strong>
</p>
</article>
<article>
<header>
<h2>Extra Reference Material</h2>
</header>
<p>
<a href="./Other/Cardano_Method-Cubic_Equation-Solution.pdf"
rel="follow" class="button small fit" target="_blank">Cardano's Method for Cubic Equation Solving</a>
</p>
<p>
<a href="./Other/Cryptography_Paper.pdf"
rel="follow" class="button small fit" target="_blank">Cryptography Paper</a>
</p>
<p>
<a href="./Other/ECC_Paper.pdf"
rel="follow" class="button small fit" target="_blank">Eliptic Curve Cryptography Paper</a>
</p>
</article>
</section>
<section class="post featured">
<article>
<header>
<h2>Syllabus</h2>
</header>
<div class="tip" markdown="1">
<p>
Logic, Propositional Equivalences, Predicates and Quantifiers Sets, Proof
Techniques,Mathematical Induction, Contradiction, Counting Techniques, Pigeon Hole
Principle.<br />
Set Theory, Relation, Composition of Relation, Matrix Representation, Equivalence Relation,
Partial order relation (Posets), Hasse diagram, Topological Sorting, Lattice, Functions,
Permutation Functions.<br />
Definition and examples of simple graphs, Isomorphism, Connectedness, Adjacency, Subgraph,
Matrix Representation. Eulerian and Hamiltonian graphs, Trees, Bipartite Graph, Simple
Graph, Hall’s Marriage Theorem.<br />
Groups, Subgroups, Cosets, Lagrange's Theorem, Permutation Groups, Isomorphism, Ring,
Field.<br />
Multinomial coefficients, Recurrence Relations, Generating functions, Combinations with
repetitions, Linear algebraic equations with unit coefficients. Principles of inclusion,
exclusion.<br />
</p>
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<h4>Discrete Structures</h4>
</section>
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<h3>Professor</h3>
<p>Ashok Kumar Das</p>
</section>
<section>
<h3>Timeline</h3>
<p>Semester - 1</p>
</section>
<section>
<h3>Year of Content</h3>
<p>2021 - 2022</p>
</section>
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