<span style="color:orange"> <b>Table of contents(based on textbook: Discrete and Combinatorial Mathematics. by Ralph Grimaldi):</b> <br> <a style="color:blue;text-decoration:underline" href="https://hackmd.io/vBZ2V4cuRLeQ3EtwdZgwkA#Fundamental-Principles-of-counting" target="_self">- Fundamental Principles of counting</a><br> <a style="color:blue;text-decoration:underline" href="https://hackmd.io/vBZ2V4cuRLeQ3EtwdZgwkA#Fundamentals-of-Logic" target="_self">- Fundamentals of Logic (not on test1)</a><br> <a style="color:blue;text-decoration:underline" href="https://hackmd.io/vBZ2V4cuRLeQ3EtwdZgwkA#Set-Theory" target="_self">- Set Theory (not focused in Test1)</a><br> <a style="color:blue;text-decoration:underline" href="https://hackmd.io/vBZ2V4cuRLeQ3EtwdZgwkA#Properties-of-the-Integers:-Mathematical-Induction" target="_self">- ch4 to be added</a><br> <a style="color:blue;text-decoration:underline" href="https://hackmd.io/vBZ2V4cuRLeQ3EtwdZgwkA#ch5" target="_self">- ch5 to be added</a><br> </span> # Fundamental Principles of counting - [Rules of sum and products 1.1, permutation 1.2+ examples explained](https://ci2525.files.wordpress.com/2017/04/grimaldi.pdf#page=19) - [Exercises for 1.1, 1.2](https://ci2525.files.wordpress.com/2017/04/grimaldi.pdf#page=28) - [Exercise-solutions for sum and products 1.1, Permutation 1.2](https://theswissbay.ch/pdf/Gentoomen%20Library/Maths/Sol%20Discrete%20and%20Combinatorial%20Mathematics%205ed%20R.%20Grimaldi%20Part%201%20BZUPAGES.COM.pdf#page=7) - [Combinations: The Binomial Theorem 1.3 + examples explained](https://ci2525.files.wordpress.com/2017/04/grimaldi.pdf#page=35) - [Exercises for 1.3](https://ci2525.files.wordpress.com/2017/04/grimaldi.pdf#page=45) - [Exercise-solutions for 1.3](https://theswissbay.ch/pdf/Gentoomen%20Library/Maths/Sol%20Discrete%20and%20Combinatorial%20Mathematics%205ed%20R.%20Grimaldi%20Part%201%20BZUPAGES.COM.pdf#page=11) - [Combinations with repetition: Distribution 1.4 + examples explained](https://ci2525.files.wordpress.com/2017/04/grimaldi.pdf#page=49) - [Exercises for 1.4](https://ci2525.files.wordpress.com/2017/04/grimaldi.pdf#page=56) - [Exercise-solutions for 1.4](https://theswissbay.ch/pdf/Gentoomen%20Library/Maths/Sol%20Discrete%20and%20Combinatorial%20Mathematics%205ed%20R.%20Grimaldi%20Part%201%20BZUPAGES.COM.pdf#page=16) ![image](https://hackmd.io/_uploads/SkQrSYMTa.png) # Fundamentals of Logic - 2.1 Basic Connectives and Truth Tables pg67 - 2.2 Logical Equivalence: The Laws of Logic pg76 ![](https://cdn.discordapp.com/attachments/1201325667237777490/1213992738836451388/logi.png?ex=65f77dd7&is=65e508d7&hm=2ed2289f0a42d2eba519babedd8a99cf2ce79fca22a97649cbe5e543ac0fe949&) - 2.3 Logical Implication: Rules of Inference pg91 - 2.4 The Use of Quantifiers pg112 - 2.5 Quantifiers, Definitions, and the Proofs of Theorems pg135 # Set Theory - 3.1 Sets and Subsets pg157 exercises pg168 ![](https://media.discordapp.net/attachments/1201325667237777490/1213996402766520330/notation.PNG?ex=65f78141&is=65e50c41&hm=33b0171d85ecd71cba26e99498cd5502a52acaa917099bbd6c463cf7f86663b1&=&format=webp&quality=lossless&width=826&height=558) - 3.2 Set Operations and the Laws of Set Theory pg170 exercises pg181 - 3.3 Counting and Venn Diagrams pg183 exercises pg188 # Properties of the Integers: Mathematical Induction - 4.1 (getting tired, go check the textbook :joy: ) to be added # ch5 - to be added