 Instructor: Yeonshil Park
 Lectures: 19
 Students: 4759
 Duration: 10 weeks
Discrete Mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problemsolving capabilities. This tutorial explains the fundamental concepts of Sets, Relations and Functions, Mathematical Logic, Group theory, Counting Theory, Probability, Mathematical Induction and Recurrence Relations, Graph Theory, Trees and Boolean Algebra.
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Prerequisites
This tutorial has an ample amount of both theory and mathematics. The readers are expected to have a reasonably good understanding of elementary algebra and arithmetic.
Before you start proceeding with this course on Academy Europe, we are assuming that you have a good aptitude and can think logically. You should want to try something different.
Ideal candidates for the course would typically possess:
– Discipline and attentiveness
– Ability to conduct research
– Ability to perform tasks with speed, efficiency, and accuracy
– Analytical judgment
– Patience to interpret technical/scientific data
– A willingness to learn, roll up your sleeves and work toward your dream!
– A computer, tablet or smartphone and an internet connection
– Basic computer skills
Audience
This tutorial has been prepared for students pursuing a degree in any field of computer science and mathematics. It endeavors to help students grasp the essential concepts of discrete mathematics.
This course by Academy Europe aims at imparting quality education and training to students.
Academy Europe is dedicated to its students, their specific learning requirements, and their overall learning success.
This course is directed toward a studentcentered, independent study, asynchronous learning approach.
After completing this course on Academy Europe, students will get self improvement and promotion in their careers.
This course is based on at least two learning skills which are provided to the users through audio & visuals, videos, verbal presentations and articles, all of which are asynchronized with distance education approach.

Discrete Mathematics  Introduction

Lecture 1.1Discrete Mathematics – Introduction


Sets, Relations, & Functions

Lecture 2.1Discrete Mathematics – Sets

Lecture 2.2Discrete Mathematics – Relations

Lecture 2.3Discrete Mathematics – Functions


Mathematical Logic

Lecture 3.1Discrete Mathematics – Propositional Logic

Lecture 3.2Discrete Mathematics – Predicate Logic

Lecture 3.3Discrete Mathematics – Rules of Inference


Group Theory

Lecture 4.1Operators & Postulates

Lecture 4.2Discrete Mathematics – Group Theory


Counting & Probability

Lecture 5.1Discrete Mathematics – Counting Theory

Lecture 5.2Discrete Mathematics – Probability


Mathematical & Recurrence

Lecture 6.1Mathematical Induction

Lecture 6.2Discrete Mathematics – Recurrence Relation


Discrete Structures

Lecture 7.1Graph & Graph Models

Lecture 7.2Discrete Mathematics – More On Graphs

Lecture 7.3Introduction to Trees

Lecture 7.4Discrete Mathematics – Spanning Trees


Boolean Algebra

Lecture 8.1Boolean Expressions & Functions

Lecture 8.2Simplification Of Boolean Functions
