A curated selection of foundational mathematics courses available for free audit on major MOOC platforms, designed to build strong numeracy, algebra, and calculus skills for absolute beginners.
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Offered by UC San Diego on Coursera, this course teaches fundamental mathematical thinking skills essential for computer science. It covers induction, invariant, and recursion, serving as a gentle but rigorous introduction to logic.
Stanford University's flagship course on Coursera focuses on developing the higher-order thinking skills required for advanced mathematics. It emphasizes problem-solving and proof-writing over rote calculation, ideal for future STEM majors.
Part of the Imperial College London specialization on Coursera, this course provides a practical guide to linear algebra concepts crucial for machine learning. It covers vectors, matrices, and eigenvalues with accessible explanations for beginners.
Available on Coursera through Duke University, this course introduces basic probability and statistical data analysis. It is an excellent starting point for understanding randomness and data distribution without heavy mathematical prerequisites.
Part of the Khan Academy series on EdX, this course covers essential algebraic concepts from basic operations to solving equations. It provides a solid foundation for students needing to refresh or learn core algebraic techniques.
Offered by Rice University on EdX, this course bridges the gap between algebra and calculus. It reviews functions, trigonometry, and analytic geometry, ensuring students have the necessary background to succeed in introductory calculus.
MIT’s open courseware is available on EdX, offering a rigorous introduction to limits, derivatives, and integrals. It is designed for beginners willing to engage with challenging problem sets and theoretical concepts.
The University of Texas at Austin offers this comprehensive course on EdX, covering both theoretical foundations and practical applications. It includes computational components that help students understand linear algebra through coding exercises.
Also from MIT on EdX, this specific module focuses on understanding functions, limits, and continuity. It breaks down complex calculus topics into manageable segments, making it accessible for those new to mathematical analysis.
Offered by Stanford University on Coursera, this course teaches the basics of deductive reasoning and formal logic. It is highly relevant for math beginners as it establishes the framework for constructing valid mathematical arguments.
Available on Coursera from the University of Amsterdam, this course covers fundamental statistical concepts like mean, median, and standard deviation. It is perfect for beginners wanting to understand data through a mathematical lens.
Offered by NYU on Coursera, this course introduces discrete structures like sets, relations, and graphs. It is essential for understanding the mathematical underpinnings of algorithms and logic for non-math majors.
MIT’s course on EdX provides a deep dive into probability theory from first principles. It is challenging but rewarding, offering a strong theoretical basis for understanding uncertainty in real-world scenarios.
Offered by the University of London on Coursera, this course introduces abstract algebra concepts like groups and rings. It is slightly more advanced but provides a crucial perspective on the structure of mathematical systems.
Part of the MIT Calculus series on EdX, this module focuses specifically on the concept of derivatives. It uses visual and practical examples to explain rates of change, making it easier for beginners to grasp initial calculus concepts.
Available on EdX, this course covers sine, cosine, and tangent functions in depth. It is a necessary precursor for calculus and physics, providing clear explanations of periodic phenomena and geometric relationships.
Offered by the University of Colorado Boulder on Coursera, this course teaches how to construct mathematical proofs. It is vital for students transitioning from computational math to theoretical understanding and rigorous verification.
Yale University’s course on EdX focuses on the theory and application of differentiation. It offers high-quality lectures that break down complex derivatives into understandable steps, suitable for self-learners.
Offered by the University of Toronto on Coursera, this course introduces the linear algebra and probability needed for quantum computing. It is a specialized but accessible entry point into advanced applied mathematics for tech enthusiasts.
Available on Coursera, this course covers propositional and predicate logic, providing a formal framework for mathematical reasoning. It is ideal for those interested in the philosophical and structural basis of mathematics.