### ECO2010H1F Math and Stats Review for PhD and MA Doctoral Stream Students

The first half of the course reviews materials that will be useful in econometrics and Ph.D. macroeconomics. The material covered includes: (1) matrix algebra; (2) probability theory; probability measures, integration, expectation and conditional expectation, independence, some commonly encountered distributions; (3) deterministic and stochastic dynamic programming. Estimation, testing and prediction methods are NOT covered in the Math/Stat Review, but are covered in detail in ECO 2400H. The second half of the review will concentrate on optimization theory that will be necessary for microeconomic theory and macroeconomic theory. It will start with static optimization theory, and then focus on optimal control theory and dynamic programming. The stochastic counterparts of the latter techniques will only be briefly mentioned. The three basic references for the course are (1) A.K. Dixit, 1990, "Optimization in Economic Theory", second edition, Oxford University Press (in paperback); (2) N.L. Stokey, R.E. Lucas, Jr., with E.C. Prescott, 1989, "Recursive Methods in Economic Dynamics", Harvard University Press (Chapters 3, 4, 5, 6); and (3) T.J. Sargent, 1987, "Macroeconomic Theory", second edition, Academic Press (Chapters 9 and 11).
**NOTE:** In exceptional circumstances, a regular stream MA student may be permitted to take the Math and Stats review for PhD and MA Doctoral Stream Students, ECO1011H1F. In these particular cases, written permission from the Graduate Director (email the Associate Chair, Adonis Yatchew at yatchew@chass.utoronto.ca to make a request for permission) is required PRIOR to starting the Math Stats Review August 17, 2009.

#### Section L0101, Fall 2008–09

Instructor: Shouyong Shi, Adonis YatchewDay/time: MTWRF10-5

Delivery Method & Instructions: In Person

Location: WO 20