Mathematics II (S1, 2024)
OYAMA Daisuke
oyama@e.u-tokyo.ac.jp
Wednesday, Friday | 8:30-10:15 |
First session | April 5 |
Class room | 513 |
Syllabus/Introduction
The aim of this course is to provide students with basic tools in Analysis that are needed in advanced level micro and macro economics.
The course covers the main part of the Mathematical Appendix in Mas-Colell, Whinston, and Green.
Textbook
A. Mas-Colell, M.D. Whinston, and J.R. Green, Microeconomic Theory, Oxford University Press, 1995.
[Amazon] |
References
Topics
- Real numbers
[Slides (4/3)]
- Continuous functions and compact sets
[Slides (4/10)]
- Correspondences
[Slides (4/24)]
- Convex sets and (quasi-)concave functions
[Slides (4/23)]
- Differentiation
[Slides 1 (4/23),
Slides 2 (4/23)]
- Negative (semi-)definite matrices
[Slides (5/3)]
- Separating hyperplane theorems
[Slides 1 (5/3)]
- Optimization
- Envelope theorem
- Fixed point theorems
- Dynamic programming
Homeworks
Submit your homework through UTOL
Notes