Discrete Mathematics
Description
Explore the essential concepts of Discrete Mathematics with our comprehensive course designed to build the mathematical foundations critical for computer science, cryptography, and information theory. This course delves into the study of discrete structures and their applications, covering topics such as logic, set theory, combinatorics, graph theory, and algorithms. Whether you’re a student preparing for advanced studies in computer science, a professional looking to enhance your problem-solving skills, or simply someone interested in the mathematical principles that underpin modern technology, this course provides clear explanations and practical exercises to help you master Discrete Mathematics.
Course Detail
Duration
3 months
Weekly sessions
3
Type
Individual
Available Languages
English
Syllabus
What you will learn
- Understand the principles of logic and proofs, including propositional logic, predicate logic, and methods of mathematical proof.
- Explore set theory, relations, and functions, and their applications in computer science.
- Learn about combinatorics, including permutations, combinations, and the principles of counting.
- Study graph theory, including the properties of graphs, trees, and graph algorithms.
- Analyze algorithms and their complexity, including Big-O notation and recursive algorithms.
- Discover Boolean algebra and its applications in digital logic design and computer architecture.
- Apply discrete mathematical concepts to real-world problems in computer science, cryptography, and network theory.