Preparation course: mathematical methods in economics

Eesti keeles

The course covers most frequently needed mathematical tools in economics: (multivariate) calculus, convexity and concavity, optimization theory, differential equations and difference equations, matrix algebra, and dynamic optimization. The course is meant mostly for first-year graduate students in economics, who do not have sufficient background in mathematics (including those who have covered standard programs in economics in Estonian universities).

• The course is divided into 10 topics, each of which should includes reading materials, exercises, and an obligatory problem set. All materials are currently available only in Estonian.

1. Review of some basic logic, matrix algebra, and calculus (Introduction + additional material, Tutorial, Problem set)
2. Topics in multivariate calculus (Introduction + additional material, Tutorial, Problem set)
3. Concavity and convexity (Introduction, Tutorial, Problem set)
4. Optimization, interior optima (Introduction, Tutorial, part I and part II, Problem set)
5. Optimization: equality constraints (Introduction, Tutorial, Problem set)
6. Optimization: the Kuhn-Tucker conditions for problems with inequality constraints (Introduction, Tutorial, Problem set)
7. Differential equations (Introduction + additional material, Tutorial, Problem set)
8. Difference equations (Introduction, Tutorial, Problem set)
9. Matrix algebra (Introduction + Tutorial, Problem set)
10. Dynamic optimization, maximum principle (Introduction + Tutorial, Problem set)

• Web-based course in Departpent of Economics and Business Administration, University of Tartu
• Official information: MJRI.09.010, more from Studies Information Database
• Lecturers: Marit Hinnosaar and Toomas Hinnosaar
• Course takes place in the homepage: http://moodle.mtk.ut.ee/
• Course ends with written pass/fail exam (in Tartu) and gives 2 CP
• Enrollment is closed for 2005

1. Barro, Robert; Xavier Sala-I-Martin. Economic Growth : Second Edition. -- (01 October 2003).
2. Chiang, Alpha. Fundamental Methods of Mathematical Economics. -- (01 February 1984).
3. Dowling, Edward. Schaum's Outline of Introduction to Mathematical Economics. -- (01 August 2000).
4. Greene, William. Econometric Analysis. -- (22 August 2002).
5. Hayashi, Fumio. Econometrics. -- (15 December 2000).
6. Jehle, Geoffrey; Philip Reny. Advanced Microeconomic Theory (2nd Edition). -- (2000), pp. 405-509.
7. Pontryagin, LS; VG Boltyanskii; RV Gamkrelidze; E Mishchenko. The mathematical theory of optimal processes (International series of monographs in pure and applied mathematics). -- (1962).
8. Simon, Carl; Lawrence Blume. Mathematics for Economists. -- (08 June 1994).
9. Stokey, Nancy; Robert Lucas. Recursive Methods in Economic Dynamics. -- (01 November 1989).
10. Sundaram, Rangarajan. A First Course in Optimization Theory. -- (13 June 1996).

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