Mathematical Logic and Boolean Algebra Fundamentals

Mathematical logic forms the backbone of modern computer science, algorithm design, and analytical reasoning. This written course guides you step-by-step through core logical concepts, helping you analyze complex statements and solve structured reasoning problems with confidence. You will begin by learning fundamental definitions, core notation, and truth values before moving into practical logical transformations. By working through clear written explanations and practical exercises, you will develop the analytical mindset needed for mathematics and software development. What you'll learn: - Understand core concepts of propositional logic, statements, and truth values - Construct and evaluate truth tables for complex logical expressions - Apply logical operators including AND, OR, NOT, implication, and equivalence - Simplify boolean expressions using fundamental algebraic rules and equivalences - Explore introductory predicate logic and quantifiers used in modern logical applications - Translate real-world conditional logic into formal mathematical notation. The course begins with essential terminology and foundational principles of formal logic before advancing to expression simplification, truth tables, and structured deduction techniques. Designed specifically for beginners, this course requires no prior advanced mathematics background. Step into the world of formal reasoning and strengthen your analytical skills today.