Foundational Modern Mathematics: Logic, Sets, and Probability

Many technical fields, from computer science to data analysis, rely on a strong foundation in modern mathematical concepts. This course provides that essential quantitative framework. By the end of this course, you will have a deep understanding of logical structures, counting techniques, and probability theory, enabling you to approach and solve intricate problems using proven mathematical methods. What you'll learn: * Understand the core principles of propositional and predicate logic, including truth tables and logical equivalence. * Master set theory notation and operations (union, intersection, complement) and apply them using Venn diagrams. * Practice fundamental counting principles, permutations, and combinations for solving complex combinatorial problems. * Apply probability theory, covering conditional probability and Bayes' Theorem, to model real-world uncertainty. * Learn efficient problem-solving strategies and shortcuts to quickly analyze and simplify quantitative reasoning challenges. The course begins with clear definitions and terminology for logic and set theory, progresses through detailed explanations of counting methods, and concludes with practical applications in probability and statistical reasoning. This course is designed for absolute beginners who need a thorough introduction to modern mathematics or quantitative reasoning, and no prior mathematical knowledge is required. Start strengthening your quantitative analysis skills today.