The course will include the following topics, and it is expected that students spend 9 hours a week (lecture time included) on this course.

1. Topics in Linear Algebra. (3 classes)


2. Topics in Multivariable Calculus. (3 classes)


3. Static Optimization. (3 classes)

Midterm.

4. Differential Equations. (4 classes)


5. Continuous Time Dynamic Optimization-Optimal Control Theory. (3 classes)

Final.

Problem Sets and Quizzes 20％

Midterm Exam 40％

Final Exam 40％

The course will be mainly based on class notes, though the following reference will be useful.

Reference

Sydsaeter, Knut, Hammond, Peter, Seierstad, Atle, and Arne Strom (2005). Further Mathematics for Economic Analysis. Prentice Hall; 1 edition.

Simon, Carl, Lawrence Blume (1994). Mathematics for Economists. W.W.Norton & Company Inc.

Chiang, Alpha, and Kevin Wainwright (2005). Fundamental Methods of Mathematical Economics 4/E. McGraw-Hill Inc.