
- Instructor: Alper Karakus
- Lectures: 42
- Students: 39661
- Duration: 10 weeks
The course sources provide an extensive guide to Discrete Mathematics, covering numerous core topics essential to the field. It begins by defining discrete versus continuous mathematics and then dedicates significant space to fundamental concepts such as Sets, Relations, and Functions, detailing definitions, types, and operations. The guide progresses through Mathematical Logic, explaining propositional and predicate logic, and outlining Rules of Inference for constructing valid proofs. Furthermore, it addresses Group Theory, introducing algebraic structures like semigroups, monoids, and groups, alongside concepts like lattices and partially ordered sets. Finally, the text explores Counting Theory (permutations, combinations, principles of inclusion/exclusion), Probability, and Recurrence Relations, including methods for solving linear recurrence equations.
Discrete Mathematics Course is based on textbook learning material by Academy Europe.

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Audience
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 student-centered, 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.
Prerequisites
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
Curriculum
- 8 Sections
- 42 Lessons
- 10 Weeks
- Introduction1
- An Overview of Discrete Mathematics: Core Concepts and Applications7
- Comprehensive Lecture Notes: A Foundation in Discrete Mathematics5
- A Monograph on the Foundations of Discrete Mathematics for Computer Science and Engineering8
- 4.1Introduction: The Mathematical Bedrock of Computation
- 4.2Part I: The Language of Formal Structures
- 4.3Part II: Logic and Formal Reasoning
- 4.4Part III: Abstract Algebraic Structures
- 4.5Part IV: Combinatorics and Discrete Probability
- 4.6Part V: Graph Theory: The Mathematics of Connection
- 4.7Part VI: Algorithmic and Advanced Topics
- 4.8Conclusion: The Unifying Role of Discrete Mathematics
- Position Paper: The Indispensable Role of Discrete Mathematics in Modern Algorithm Design7
- 5.11.0 Introduction: Reasserting the Foundations of Computational Excellence
- 5.22.0 The Bedrock of Computation: Defining Discrete Mathematics
- 5.33.0 Pillar I: Structuring Data and Proving Correctness with Logic
- 5.44.0 Pillar II: Quantifying Complexity and Efficiency
- 5.55.0 Pillar III: Modeling the Real World with Graph Theory
- 5.66.0 A Call for Renewed Focus: Integrating Discrete Mathematics into Practice
- 5.77.0 Conclusion: From Theoretical Abstraction to Practical Imperative
- A Beginner's Guide to Mathematical Logic: Building the Language of Reason5
- A Beginner's Guide to the Fundamental Principles of Set Theory5
- Discrete Mathematics Study Guide4
Requirements
- 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
Features
- 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.
Target audiences
- 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 student-centered, 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.