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Mathematics topics used throughout economics
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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 skills