Algorithmic Mathematics: Foundations of Graphs, Logic, and Algorithms

Building a strong foundation in computer science requires a firm grasp of algorithmic mathematics. This course introduces key concepts in graph theory, mathematical logic, and theoretical computer science to strengthen your logical problem-solving skills. You will learn to break down complex logical problems, analyze algorithm efficiency, and navigate graph structure operations with confidence. What you will learn: Understand core terminology in propositional logic, boolean algebra, and predicate logic. Master fundamental graph theory concepts including vertices, edges, connectivity, and graph traversals. Analyze algorithm performance using Big-O notation and computational complexity metrics. Explore essential algorithm design techniques for search, traversal, and optimization. Apply mathematical logic principles to formulate computational problem solutions. Practice solving algorithmic problems through written step-by-step logic and exercises. The course begins with key terminology, foundational logic concepts, and definitions before introducing graph structures and practical algorithm analysis. Designed for beginners, aspiring programmers, and computer science students looking to strengthen their theoretical core with no advanced prerequisites required. Start building your mathematical and algorithmic logic skills today.