Set theory: relations : functions -- Equations : functions of one variable : complex numbers -- Limits : continuity : differentiation (one variable) -- Partial derivatives -- Elasticities : elasticities of substitution -- Systems of equations -- Inequalities -- Series : Taylor's formula -- Integration -- Difference equations -- Differential equations -- Topology in Euclidean space -- Convexity -- Classical optimization -- Linear and nonlinear programming -- Calculus of variations and optimal control theory -- Discrete dynamic optimization -- Vectors in R[superscript n] : abstract spaces -- Matrices -- Determinants -- Eigenvalues : quadratic forms -- Special matrices : Leontief systems -- Kronecker products and the vec operator : differentiation of vectors and matrices -- Comparative statics -- Properties of cost and profit functions -- Consumer theory -- Topics from trade theory -- Topics from finance and growth theory -- Risk and risk aversion theory -- Finance and stochastic calculus -- Non-cooperative game theory -- Combinatorics -- Probability and statistics -- Probability and statistics -- Method of least squares

1. Economics
2. Mathematical