Interactive learning modules with animations, practice problems, and real-world applications
Targeted preparation for standardized math exams
Complete Digital SAT math preparation with test-taking strategies.
Targeted ACT math review from pre-algebra through trigonometry.
Complete AP Calculus preparation — AB and BC topics with exam-style practice.
AMC, AIME, and Putnam preparation — problem-solving techniques and olympiad strategies.
GRE Quantitative Reasoning prep with quantitative comparison strategies.
Preparation for the GRE Mathematics Subject Test at the undergraduate level.
Build your mathematical foundation from the ground up
Master the fundamentals: addition, subtraction, multiplication, division, and fractions.
Master calculation tricks and techniques for fast mental arithmetic.
Introduction to variables, equations, and algebraic thinking.
Linear equations, inequalities, and introduction to functions.
Shapes, angles, proofs, and spatial reasoning.
Quadratics, polynomials, exponentials, and logarithms.
Trigonometric functions, identities, and applications.
Functions, limits preview, and calculus preparation.
The core calculus sequence and related courses
Diagnostic and refresher course — make sure you're ready for calculus before diving in.
Master limits, derivatives, and their applications.
Integration techniques, series, and sequences.
Multivariable calculus: vectors, partial derivatives, and multiple integrals.
Calculus for business, economics, and social sciences.
First and second order equations, systems, and Laplace transforms.
Upper-level undergraduate and proof-based courses
Master mathematical reasoning and proof techniques.
Vectors, matrices, transformations, and eigenvalues.
Rigorous limits, continuity, sequences, series, and integration.
Functions of complex variables and their applications.
Groups, rings, fields, and algebraic structures.
Point-set topology and introduction to algebraic topology.
Fundamental groups, homology, cohomology, and covering spaces.
ZFC axioms, ordinals, cardinals, and the axiom of choice.
Propositional and predicate logic, proof theory, and Gödel's theorems.
Curves, surfaces, curvature, and Riemannian manifolds.
Abstract vector spaces, linear transformations, and eigentheory.
Euclidean, affine, hyperbolic, and spherical geometries.
Vertices, edges, paths, trees, coloring, and network algorithms.
Math applied to real-world problems and other fields
Probability theory and random variables.
Statistical inference, hypothesis testing, and regression.
Logic, sets, combinatorics, and graph theory.
Properties of integers, primes, and modular arithmetic.
Counting techniques, permutations, combinations, and generating functions.
Computational methods for mathematical problems.
Build mathematical models for real-world phenomena.
Linear programming, convex optimization, and algorithms.
Strategic decision-making and Nash equilibrium.
Fourier series, transforms, FFT, and wavelets.
Heat, wave, and Laplace equations with solution methods.
Mathematical foundations of encryption and modern public key systems.
Practical linear algebra for machine learning and data science. PCA, SVD, and neural network math.
Essential math for CS: logic, algorithms, number theory, and complexity.