14 free topic guides
Mathematics for economics: topics and practice guides
Explore the algebra, calculus, linear algebra, optimization, and comparative-statics methods economists use. Each guide connects solving logic with an economic application, and the free Mastery Lab turns those methods into adaptive practice.
Economic Models & Algebra
Parameters, endogenous variables, equilibrium, and stock-flow equations.
3 core skillsChapter 2 · Test 1Sets, Numbers & Functions
Set operations, number properties, point sets, functions, and convexity.
3 core skillsChapter 3 · Test 1Sequences, Series & Limits
Sequence limits, geometric series, convergence, and present value.
3 core skillsChapter 4 · Test 1Continuity
Limits of functions, continuity tests, and economic discontinuities.
3 core skillsChapter 5 · Test 1Derivatives & Differentials
Derivative rules, differentials, curvature, and Taylor approximation.
3 core skillsChapter 6 · Test 1One-Variable Optimization
First- and second-order conditions and optimization on intervals.
3 core skillsChapter 7 · Test 2Systems of Linear Equations
Substitution, elimination, rank, and economic equilibrium systems.
3 core skillsChapter 8 · Test 2Matrices
Matrix notation, operations, transposition, and special matrices.
3 core skillsChapter 9 · Test 2Determinants & Inverses
Determinants, inverse matrices, nonsingularity, and Cramer's rule.
3 core skillsChapter 10 · Test 2Advanced Linear Algebra
Vector spaces, eigenvalues, eigenvectors, and quadratic forms.
3 core skillsChapter 11 · Test 3Multivariable Calculus
Partial derivatives, total differentials, Hessians, and curvature.
3 core skillsChapter 12 · Test 3Multivariable Optimization
Stationary points, Hessian tests, and direct variable restrictions.
3 core skillsChapter 13 · Test 3Constrained Optimization
Lagrangians, tangency conditions, and constrained second-order tests.
3 core skillsChapter 14 · Test 3Comparative Statics
Parameter changes, implicit differentiation, and the envelope theorem.
3 core skillsBuild the vocabulary alongside the methods
The mathematics for economics glossary defines the key terms used across these guides, from equilibrium and elasticity to Hessians, Lagrangians, and the envelope theorem.