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<!DOCTYPE html>
<html lang="en">
<head>
<!-- Google tag (gtag.js) [immediately after head tag]-->
<script
async
src="https://www.googletagmanager.com/gtag/js?id=G-EKWFGLGKVR"
></script>
<script>
window.dataLayer = window.dataLayer || [];
function gtag() {
dataLayer.push(arguments);
}
gtag('js', new Date());
gtag('config', 'G-EKWFGLGKVR');
</script>
<!-- Google Ads [between head tags] -->
<script
async
src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js?client=ca-pub-8729859208925325"
crossorigin="anonymous"
></script>
<meta charset="utf-8" />
<link rel="stylesheet" href="styles.css" />
<link rel="stylesheet" href="commonCourse.css" />
<link rel="icon" href="assets/favicon.png" sizes="any" type="image/png" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<meta name="og:title" property="og:title" content="FCIS 2023" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<meta name="theme-color" content="#0078E3" />
<title>Discrete Mathematics</title>
</head>
<body>
<header>
<a href="/">FCIS 2023 <sup>3rd</sup></a>
</header>
<div class="container">
<div class="hdrs">
<div class="course">Discrete Mathematics</div>
</div>
<div class="progress" id="progress">Progress :</div>
<div class="progressContainer">
<div class="progressBack" id="back"></div>
</div>
<!--Alert-->
<div class="alert" id="alert">
<p>
<a href="material/Exams/OldFinals/DM_2015.pdf" target="_blank"
>(2015)</a
>
,
<a href="material/Exams/OldFinals/DM_2016.pdf" target="_blank"
>(2016)</a
>
,
<a
href="https://drive.google.com/drive/folders/1F3Lc-f2wDNO_L5N9eJyh7-iMIhNTPJg6?fbclid=IwAR3Dn6nn7DoFEz3FaMozV6rO3y0e6NRgiLwYM_kD0bAW9CL4m5BOBhADuqE"
target="_blank"
>
(2017 : 2018)
</a>
</p>
<p>
Please note that these exams have (Discrete Maths + Linear Algebra)
combined together, so leave the Linear Algebra part and only take the
Discrete
</p>
</div>
<button class="accordion fixed">Resources</button>
<div class="panel">
<p>
<i class="fas fa-book"></i>
<a href="material/Books/DM.pdf" target="_blank">
Course Book - Discrete Mathematics and Its Applications, By Kenneth
H. Rosen - 7th Edition</a
>
</p>
<p>
<i class="fas fa-book"></i>
<a
href="http://www.cs.ucr.edu/~acald013/public/tmp/sol_dmaia_rosen.pdf"
target="_blank"
>
Solutions Guide - Discrete Mathematics and Its Applications</a
>
</p>
<p>
<i class="fab fa-youtube"></i>
<a
href="https://youtu.be/ihj299iVoOw"
target="_blank"
class="addCheck"
>
Quiz + Solutions (17 Questions) - Omar AbdulRahman</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="material/Exams/DM_Midterm1.pdf"
target="_blank"
class="addCheck"
>
Midterm Model A</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="material/Exams/DM_Midterm2.pdf"
target="_blank"
class="addCheck"
>
Midterm Model B</a
>
</p>
<p>
<i class="fab fa-youtube"></i>
<a
href="https://www.youtube.com/playlist?list=PLoK2Lr1miEm_WKBBBHUQJRXaumduqkM4S&fbclid=IwAR0jxPFph_xw4iFVRyTyLp46Nd-qfbRdcqKPFZU0kj3hKVnDt0MmmcTDLfg"
target="_blank"
>
Discrete Mathamtics playlist - FCIH OCW
</a>
</p>
</div>
<button class="accordion">Dr. Mohamed Ibrahim - Sections</button>
<div class="panel">
<p>
<i class="fas fa-file"></i>
<a
href="https://drive.google.com/file/d/1T5Rg7gxRR-1VwDncXUxt9O8HJl0M8Z9x/view?fbclid=IwAR0radNub7xduDmsu-mFv31ztL1p2goCMAukU4H_2oeqj7kcX1os2-tMnWE"
target="_blank "
class="addCheck"
>
Section 1 - Proposition</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="https://drive.google.com/file/d/1SrcD40m_ZnM8_Qx0rcefO3_77rxcLdTx/view?fbclid=IwAR0qkUoJTYRm8cOLiazEouHRVyaf7-I-fGUAgLl9S01d691f8LrJntbTZ9o"
target="_blank "
class="addCheck"
>
Section 2 - Equivalences</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="https://drive.google.com/file/d/1TXI8lTi-i9CMzCeUKDyMCJ3dHqJRJDpI/view?fbclid=IwAR0qkaoHG24uLLNfLQYqta_fNNCOcynTkn7UuHzxwrns0V6aq3sOlEo3KG4"
target="_blank "
class="addCheck"
>
Section 3 - Exercises</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="https://drive.google.com/file/d/1U3qbJ26BclRDKy_zlXiHdtqjxjIqadbF/view?fbclid=IwAR0av9C1iDVz4WVDEbn4mXHOsfLzX8bPSf6UsFC4r2LMEN3Z0JB5u76_WnA"
target="_blank "
class="addCheck"
>
Section 4 - Quantifiers</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="https://drive.google.com/file/d/1ttM1_zolo05REHxqazmm6j0B68ocxgIE/view?fbclid=IwAR0PxHjGyqJdMraAqMG94WM1ZVxLRfAX8mzsowNVZPchQbFq4vy-ervidZQ"
target="_blank "
class="addCheck"
>
Section 5 - Rules of Interference</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a href="material/Dr/DM_S6.pdf" target="_blank " class="addCheck">
Section 6 - Proving Theorems</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="https://drive.google.com/file/d/10o5zutEJjfi-XTzSVJUci_4m7MGlTS5h/view?fbclid=IwAR1qLXZTciu0qi1XJfCobxdgSPdomMYyTcDzqJQA5iaBB5PO9PqiqLQkRow"
target="_blank "
class="addCheck"
>
Section 7 - Sets</a
>
</p>
</div>
<button class="accordion">Dr. Salsabil Amin Lectures</button>
<div class="panel">
<p>
<i class="fas fa-exclamation-triangle"></i> I wouldn't recommend
learning from here, there are many missing info
</p>
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/14278f46-61e1-4b1e-b634-1f83ca1afa38 "
target="_blank "
class="addCheck"
>
Lecture 1 - (Propositional Logic and Equivalence) - Dr. Salsabil
Amin</a
>
</p>
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/ae21cb33-c6ba-4d08-9aed-840d4908115d "
target="_blank "
class="addCheck"
>
Lecture 1 - (Propositional Logic and Equivalence) "Live " - Dr.
Salsabil Amin</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/f8193a67-834a-4189-a443-a64b60af1653 "
target="_blank "
class="addCheck"
>
Lecture 2 - (Predicate Logic) "Live " - Dr. Salsabil Amin</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/b7dcbf89-d416-41b5-bdb0-414fc0d62084 "
target="_blank "
class="addCheck"
>
Lecture 3 - (Nested Quantifiers, Rules of Inference) "Live " - Dr.
Salsabil Amin</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/3249b14a-5a77-4d95-9fcd-422ce7cc8160 "
target="_blank "
class="addCheck"
>
Lecture 4 - (Rules of Inference Continued) "Live " - Dr. Salsabil
Amin</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/a2b58ff6-f0eb-4611-adda-410fabac1d2f "
target="_blank "
class="addCheck"
>
Lecture 5 - (Mathematical Induction, Introduction to Realtions)
"Live " - Dr. Salsabil Amin</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/5ba4982a-d23e-4df9-8451-067a13db277b"
target="_blank "
class="addCheck"
>
Lecture 6 - (Realtions) "Live " - Dr. Salsabil Amin</a
>
</p>
</div>
<button class="accordion">Week 1</button>
<div class="panel">
<p>
<i class="fas fa-info-circle"></i> We started in Week 3 with Dr.
Mohamed Abdel-Aal
</p>
<hr />
<h4>Students' Materials</h4>
<p>
<i class="fas fa-file"></i>
<a href="material/St/my.pdf " target="_blank " class="addCheck">
Lecture 1 - Mohamed Yehia (4 Pages)</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a href="material/St/de.pdf " target="_blank " class="addCheck">
Lecture 1 - Dondon Emad (2 Pages)</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a href="material/St/ok.pdf " target="_blank " class="addCheck">
Lecture 1 - Omar Khaled (3 Pages)</a
>
</p>
</div>
<button class="accordion">Week 2</button>
<div class="panel">
<p>
<i class="fas fa-file"></i>
<a href="material/Dr/DM_Sec01.pdf " target="_blank " class="addCheck">
Section 1</a
>
</p>
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/b2e11433-bad6-4d97-9188-787b5a3fe774 "
target="_blank "
class="addCheck"
>
Section 1 - Part 1</a
>
</p>
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/1a8f57f2-3da7-44ff-be60-d34f8be99359 "
target="_blank "
class="addCheck"
>
Section 1 - Part 2</a
>
</p>
<hr />
<h4>Students' Materials</h4>
<p>
<i class="fas fa-file"></i>
<a
href="material/St/abdo_DM01.pdf "
target="_blank "
class="addCheck"
>
Section 1 - Abdo Hassan (4 Pages)</a
>
</p>
</div>
<button class="accordion">Week 3</button>
<div class="panel">
<p>
<i class="fas fa-video"></i>
<a
href="https://drive.google.com/file/d/1v1VAC9bnir3keb1g8QhMUioxigEbSQbD/"
target="_blank "
class="addCheck"
>
Lecture 1 - (Propositional Logic) - Dr. Mohamed Abdel-Aal</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a href="material/Dr/DM_L1.pdf " target="_blank " class="addCheck">
Lecture 1 - (Propositional Logic) - Dr. Mohamed Abdel-Aal</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/584bb54e-34e0-4dcc-a787-96fe2a66c100 "
target="_blank "
class="addCheck"
>
Section 2</a
>
</p>
<hr />
<h4>Students' Materials</h4>
<p>
<i class="fab fa-youtube"></i>
<a
href="https://youtu.be/mxKNM2XZVck"
target="_blank "
class="addCheck"
>
Lecture 1 Part 1 - Omar AbdulRahman</a
>
</p>
<p>
<i class="fab fa-youtube"></i>
<a
href="https://youtu.be/cOIX_T9Jlnk"
target="_blank "
class="addCheck"
>
Lecture 1 Part 2 - Omar AbdulRahman</a
>
</p>
</div>
<button class="accordion">Week 4</button>
<div class="panel">
<p>
<i class="fas fa-video"></i>
<a
href="https://drive.google.com/file/d/1EUIUdU9n-wk9f0U6gl1byMovxY_3axeL/"
target="_blank "
class="addCheck"
>
Lecture 2 - (Predicate Logic) - Dr. Mohamed Abdel-Aal</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a href="material/Dr/DM_L2.pdf " target="_blank " class="addCheck">
Lecture 2 - (Predicate Logic) - Dr. Mohamed Abdel-Aal</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/e86fb6d7-fa67-4b6c-8cae-9d27694b4aae "
target="_blank "
class="addCheck"
>
Section 3 - Part 1</a
>
</p>
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/3bedb470-d311-4c17-a5e4-ef53f3a42048 "
target="_blank "
class="addCheck"
>
Section 3 - Part 2</a
>
</p>
<hr />
<h4>Students' Materials</h4>
<p>
<i class="fab fa-youtube"></i>
<a
href="https://youtu.be/QwzRv_oNMOc"
target="_blank "
class="addCheck"
>
Lecture 2 Part 1 - Omar AbdulRahman</a
>
</p>
<p>
<i class="fab fa-youtube"></i>
<a
href="https://youtu.be/zBBQ9dJgWq8"
target="_blank "
class="addCheck"
>
Lecture 2 Part 2 - Omar AbdulRahman</a
>
</p>
</div>
<button class="accordion">Week 5</button>
<div class="panel">
<p>
<i class="fas fa-video"></i>
<a
href="https://drive.google.com/file/d/1N_m0NNfu0Pa1JEyQbCXvbrqHevHEjFY5/"
target="_blank "
class="addCheck"
>
Lecture 3 - (Introduction to Proofs - Induction) - Dr. Mohamed
Abdel-Aal</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a href="material/Dr/DM_L3.pdf " target="_blank " class="addCheck">
Lecture 3 - (Introduction to Proofs - Induction) - Dr. Mohamed
Abdel-Aal</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/68120fe8-5499-49a8-83db-130d54b33deb "
target="_blank "
class="addCheck"
>
Section 4 Part 1 - Methods of Proofs</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a href="material/Dr/DM_Sec04.pdf " target="_blank " class="addCheck">
Section 4 Part 1 - Methods of Proofs</a
>
</p>
<hr />
<p>
<i class="fas fa-video"></i>
<a
href="https://web.microsoftstream.com/video/ca58fb80-bb79-41f3-a438-a8d114db0592 "
target="_blank "
class="addCheck"
>
Section 4 Part 2 - Mathematical Induction</a
>
</p>
<p>
<i class="fas fa-file"></i>
<a
href="material/Dr/DM_Sec04b.pdf "
target="_blank "
class="addCheck"
>
Section 4 Part 2 - Mathematical Induction</a
>
</p>
<hr />
<h4>Students' Materials</h4>
<p>
<i class="fab fa-youtube"></i>
<a
href="https://youtu.be/J8MXhqeTs04"
target="_blank "
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Lecture 4 - (Basic Structures: Sets) - Dr. Mohamed Abdel-Aal</a
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Lecture 5 - (Basic Structures: Functions, Sequences and Summations)
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Lecture 5 - (Basic Structures: Functions, Sequences and Summations)
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Section 6 - Functions</a
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Section 6 - Functions</a
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Lecture 6 - (Relations) - Dr. Mohamed Abdel-Aal</a
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Lecture 6 - (Relations) - Dr. Mohamed Abdel-Aal</a
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Lecture 7 - (Number Theory & Cryptography) - Dr. Mohamed
Abdel-Aal</a
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Lecture 7 - (Number Theory & Cryptography) - Dr. Mohamed
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Section 8 - Number Theory (Part 1)</a
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Section 8 - Number Theory (Part 2)</a
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<h4>Students' Materials</h4>
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Lecture 8 - (Graph Theory) - Dr. Mohamed Abdel-Aal</a
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Lecture 8 - (Graph Theory) - Dr. Mohamed Abdel-Aal</a
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