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课程内容

经济数学

Course Description:

This course aims to get students familiarized with mathematical ideas and tools for their further studies in modem economics. Topics covered are mainly from mathematical analysis, real analysis and static/dynamic optimization theory. Calculus and linear algebra are prerequisites for this course.


Texts:

1.Carl R Simon, Lawrence Blume, Mathematics for Economists, W. W. Norton, 1994.

2.Morton I. Kamien, Nancy L. Schwartz, Dynamic Optimization, North Holland,


Topics Outline:

•Review of Linear Algebra:

Matrix algebra, vector space, eigenvalue and eigenvector, Markov processes, quadratic forms and definiteness of matrices.

•Introduction to Real Analysis:

Set theory, continuity, chain rule, Implicit Function Theorem.

•Static Optimization:

Homogeneity, homotheticity, convexity, concavity, quasi-concavity, unconstrained and constrained optimization, second-order conditions, Envelope Theorem.

•Dynamic Optimization:

Ordinary differential equations, calculus of variations, optimal control theory, dynamic programming.