Teaching Assistant: Wendan Zhang
Exercise session: 4:00 to 5:00 each day, in 401KK.
Mathematics for Economists , by Carl Simon & Lawrence Blume
(W.W. Norton 1994; ISBN 978-0393957334 Hardbound; ISBN 978-0393117523 Paperbound).
Dates of Class Meetings:
Wednesday to Saturday, 8/2 to 8/5.
Monday to Saturday 8/7 to 8/12, except no class on Tuesday and Wednesday 8/8 and 8/9.
Monday to Saturday 8/14 to 8/19, except no class on Wednesday 8/16.
("No class" days are to accommodate University grad student orientations.)
Subjects we'll cover, in approximately this order:
Euclidean spaces (Chapter 10)
Vector spaces (Chapters 27 and 28)
Convex sets, concave and convex functions (Chapter 21)
Quadratic forms (Chapter 16)
Limits of functions in Euclidean spaces (Chapter 12)
Approximation, the differential, and Taylor polynomials (Chapter 30)
Calculus of several variables (Chapter 14)
Unconstrained optimization (Chapter 17)
Constrained optimization and the Kuhn-Tucker Theorem (Chapters 18, 19, 30)
Solution function, value function, the Envelope Theorem
Implicit and Inverse Function Theorems (Chapter 15)
Relations, equivalence relations, and partitions