Foundations of Discrete Math: From Logic to Algorithms

Master sets, logic, proofs, recursion, combinatorics, and relations — the core of mathematical reasoning.

Foundations of Discrete Math: From Logic to Algorithms
Foundations of Discrete Math: From Logic to Algorithms

Foundations of Discrete Math: From Logic to Algorithms free download

Master sets, logic, proofs, recursion, combinatorics, and relations — the core of mathematical reasoning.

Are you curious about the mathematical concepts that power computer science, logic, cryptography, and algorithm design? Whether you're a student starting your journey in computer science, a self-learner building a solid foundation, or a math enthusiast exploring new frontiers — this Elementary Discrete Mathematics course is designed to take you from the basics to deeper insights with clarity and structure.

Why Take This Course?

This course is modeled after a traditional university-level summer syllabus, but reimagined with flexibility and clarity for online learners. Through video lectures, thoughtfully designed problems, and a clear progression of topics, you'll gain a robust understanding of discrete math — the backbone of logical thinking and algorithmic reasoning. Each lecture includes a detailed PDF resource with the descriptions, formulas, and key takeaways of the lecture.

But much more broadly, this course is intended to teach you to think mathematically. You may be a student who has never seen any math beyond calculus or algebra, or perhaps you dread doing math. The point of this course is to get you to learn to think deeply, communicate carefully, and not shy away from difficult material. The topics in this course are fundamental for students pursuing computer science, mathematics, or related fields, providing the necessary background for advanced studies.

As you proceed, have something to write with on hand. Work each example along with the course. Then, at the end of each chapter, work the exercises provided for you as PDFs. Some are more difficult than others, but are well worth doing to improve your understanding. Work along with someone at roughly your skill level, share solutions and ask each other questions.

Whether you're preparing for computer science courses, diving into theoretical concepts, or strengthening your math fluency, this course equips you with the tools to think analytically and solve problems efficiently.

Everyone can be a “math person!” So, let’s get started. This course is taught by renouned instructor Douglas Weathers.