Quantum Mathematics Institute

Explore the Fundamentals

Mathematics is the language in which the patterns of the natural world are written. Orbits of planets, spread of disease, behavior of markets, and the design of cryptographic protocols all rest on quantitative structure. The Quantum Mathematics Institute teaches that structure directly: from the algebra of vectors to the limits that found calculus, we build understanding from first principles rather than from memorized recipes.

Browse Courses

Featured Courses

Our core sequence moves from the tools of calculus and linear algebra to the abstract ideas that organize modern mathematics. Every course is taught by a research mathematician and ships with a complete set of free problem sets and solutions.

beginner

Calculus I

Limits, continuity, derivatives, and definite integrals. You will meet the FTC and learn why a rate of change accumulates into a total.

Math 1014 credits

beginner

Linear Algebra

Vector spaces, linear transformations, matrices, and eigenvalues. This is the structural skeleton shared by data science and quantum mechanics.

Math 1204 credits

intermediate

Probability and Statistics

Random variables, expectation, variance, and the central limit theorem, extended into hypothesis tests and confidence intervals for the sciences.

Stat 2103 credits

beginner

Discrete Mathematics

Logic, proof techniques, counting, and graph theory. These tools give the precise vocabulary required by algorithms, combinatorics, and cryptography.

Math 1303 credits

Core Topics

A directory of the areas we teach in depth. Each entry links to the course page where the topic is covered.

Differential Equations

Graph Theory

Numerical Methods

Try a Sample Question

A short check on the power rule, the workhorse derivative formula from single-variable calculus. Select an option to see the reasoning.

Using the power rule, what is the derivative of f(x) = 3x^4?

Choose an option to see the reasoning.