MATH 8030 Discrete
Welcome to the resource page for Dr. Joe DeMaio's MATH 8030 Applied Discrete and Combinatorial Mathematics for Data Analysts class at Kennesaw State University. Please follow the links to download the appropriate materials. I am constantly fiddling with notes and exercises. So, this site is almost always under construction!!!! Visit early and often.
Notes and exercises are intended only to guide your study and aid in class participation. They are not suited for replacing the classroom experience! They are not suited for replacing your textbook and homework problems! They are also intended only for use by students in Professor DeMaio's class. They may not be an appropriate outline for a different discrete class and should not be used as such! The notes and exercises reflect the philosophy, development, emphasis of topics and Socratic nature of Professor DeMaio's face-to-face classroom.
Important Dates
Test 1: Thursday, September 21, 2023
Test 2: Thursday, November 16, 2023
Analytics Day: Friday, November 10, 2023
Final Exam: Tuesday, December 5, 2023
Combinatorics: The Multiplication Rule
Combinatorics: Complements and the Addition Rule
Combinatorics: Unordered Selections without Repetition
Combinatorics: Binomial Theorem
Combinatorics: Poker
Combinatorics: Unordered Selections with Repetition
Combinatorics: Multinomial Coefficients
Combinatorics: 3.1 Sets
Combinatorics: 3.2 Set Operations
Combinatorics: 3.3 Counting and Venn Diagrams
Combinatorics: 4.1 Induction Grimaldi HW: 1, 2, 8, 9, 23
Combinatorics: Fibonacci Numbers
Combinatorics: Combinatorial Proofs
Different Sizes of Infinity-Notes for class
Strange but True: Infinity Comes in Different Sizes
Cardinality
Integers vs. Reals: Cantor's diagonal argument
https://www.slideshare.net/mattspaul/matthew-infinitypresentation
Combinatorics: The Pigeonhole Principle
Combinatorics: The Principle of Inclusion/Exclusion
Combinatorics: Arrangements with Forbidden Positions
