Discrete Mathematics
What you'll learn
- You will learn and develop the ability to think, read and write abstractly and Mathematically.
- You will learn the fundamentals of Set Theory including set builder notation, and set operations and properties.
- You will learn tautologies, contradictions, De Morgan's Laws in Logic, logical equivalence, and formulating quantified statements.
- You will lear how to create truth tables and tell the falsehood and truthfulness of a compound statements.
- You will know how to write, read and prove Mathematical statements using a variety of methods.
- You will understand boolean expressions, black boxes, logical gates and digital circuits.
- You will understand the Fundamental Theorem of Arithmetics, modular arithmetic, and learn how to find GCD & LCM.
- You will acquire a solid foundation in functions, function composition & combination, bijective and inverse functions.
- You will learn how to find equivalence relations and equivalence classes.
- You will learn essential concepts in Statistics and Combinatorics.
- You will master arithmetic and geometric sequences, and partial sums.
- You will learn the fundamental concepts in Graph Theory like incidence and adjacency matrices, walks, eccentricity, connectedness, and Ore's Theorem.
Requirements
- A fair background in algebra.
Description
WHAT IS THIS COURSE ABOUT?
Discrete Mathematics (DM) is the backbone of both Mathematics and Computer Science. Unlike continuous mathematics, DM focuses on discrete structures, making this course essential for any Math or CS student. The topics covered in this course are fundamental and will inevitably intersect with every Math and Science student’s academic journey. This course is designed to provide a strong mathematical foundation for computer science subjects such as data structures, algorithms, and database theory, as well as mathematical disciplines like linear and abstract algebra, combinatorics, probability, logic and set theory, and number theory.
The course is structured into the following core sections:
Sets
Logic
Number Theory
Proofs
Functions
Relations
Graph Theory
Statistics
Combinatorics
Sequences and Series
YOU WILL ALSO GET:
Lifetime Access
Q&A Section with Direct Support
Certificate of Completion
30-Day Money-Back Guarantee
HOW IS IT DELIVERED?
This course is designed with visual learning in mind. Complex topics are made simple through video demonstrations, where problems are solved step-by-step to facilitate understanding. Some lessons include accompanying text files for deeper explanations and additional examples. All content is delivered in clear, plain English, avoiding unnecessary technical jargon, so you can focus on learning instead of deciphering complex terms.
HOW DO I LEARN BETTER?
After each lecture, there are quizzes to help you test your understanding of the material. Additionally, at the end of every section, you’ll find 25 practice problems with detailed answers to reinforce your learning. I recommend revisiting lessons multiple times to ensure mastery of the content.
Who this course is for:
- This course is designed for students majoring or minoring in Computer Science, Mathematics, Mathematics Education, and Engineering.
Instructor
- 4.5 Instructor Rating
- 6,341 Reviews
- 44,706 Students
- 11 Courses
Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach.
He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone.