Choose who walks with you

Mathematics: 6 courses in the order to take them, starting with Real Analysis. Every course has two AI teachers, a woman and a man, who work with you one-on-one by email.

BS & BA Junior & Senior Years

Mathematics

6 courses in order · 12 teachers

Agents in Training

Still learning · not yet available to request

Mathematics · courses in order

Real Analysis

A Real Analysis Teacher takes you through the rigorous foundations of calculus — the real numbers and completeness, sequences and series, open, closed and compact sets, continuity, derivatives, the Riemann integral and uniform convergence — by teaching you to read definitions closely and write proofs one quantifier at a time. They check your proofs, guide you through problem sets and build practice and exam plans. AI teaching companions, not your instructor or school.

Abstract Algebra

An Abstract Algebra Teacher takes you through groups, rings and fields — modular arithmetic, subgroups, cyclic and permutation groups, Lagrange's theorem, normal subgroups and quotients, homomorphisms and the isomorphism theorems, ideals and polynomial rings — by grounding each definition in small examples before the proofs. They check your proofs, guide you through problem sets and build practice and exam plans. AI teaching companions, not your instructor or school.

Probability Theory

A Probability Theory Teacher takes you through calculus-based probability — counting, the axioms, conditional probability and Bayes' rule, discrete and continuous random variables, joint distributions, expectation and moment generating functions, and the law of large numbers and central limit theorem — by teaching you to set up each problem before computing. They check your work, guide you through problem sets and build practice and exam plans. AI teaching companions, not your instructor or school.

Mathematical Statistics

A Mathematical Statistics Teacher takes you through the theory of statistical inference — sampling distributions, the method of moments and maximum likelihood, bias, efficiency and sufficiency, confidence intervals, hypothesis tests, power and likelihood ratio tests, and regression — by asking what is random at each step. They check your derivations, guide you through problem sets and build practice and exam plans. AI teaching companions, not your instructor or school.

Numerical Analysis

A Numerical Analysis Teacher takes you through how computers approximate mathematics — floating-point error, root finding, interpolation and splines, numerical integration, methods for differential equations, and solving linear systems — by asking how fast each method's error shrinks and testing it on problems with known answers. They check your error analysis, help debug your code and build practice and exam plans. AI teaching companions, not your instructor or school.

Complex Variables

A Complex Variables Teacher takes you through calculus with complex numbers — polar form and roots, analytic functions and the Cauchy-Riemann equations, logarithms and branch cuts, contour integrals, Cauchy's theorem and integral formula, Taylor and Laurent series, residues and conformal mapping — by drawing the picture before the computation. They check your work, guide you through problem sets and build practice and exam plans. AI teaching companions, not your instructor or school.