Discrete Mathematics
Explore the mathematical foundations of computer science with our comprehensive discrete mathematics course. Learn logic, set theory, proof techniques, combinatorics, graph theory, and algorithms that form the backbone of modern computing.
Essential for computer science students, software engineers, and anyone interested in understanding the mathematical principles behind algorithms and computational thinking.
What You'll Learn:
- Mathematical logic and proof techniques
- Set theory and relations
- Combinatorics and counting principles
- Graph theory and its applications
- Algorithm analysis fundamentals
- Recurrence relations and generating functions
Course Curriculum
Module 1: Logic and Proofs
Propositional logic, predicate logic, proof techniques and strategies
Module 2: Set Theory
Sets, operations, relations, functions, and cardinality
Module 3: Combinatorics
Counting principles, permutations, combinations, pigeonhole principle
Module 4: Graph Theory
Graphs, trees, paths, circuits, graph algorithms and applications
Module 5: Advanced Topics
Recurrence relations, generating functions, and algorithm complexity
Meet Your Instructor
Dr. James Anderson
Ph.D. in Computer Science with specialization in theoretical computer science. Dr. Anderson has 14 years of experience teaching discrete mathematics and has authored several textbooks on the subject.
Student Reviews
"Perfect foundation for computer science. The graph theory section was particularly helpful for my algorithms class."
"Great course with clear explanations. The proof techniques section helped me tremendously in my other math courses."