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 ?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 distributions -- Method of least squares.