MONASH UNIVERSITY FACULTY HANDBOOKS

Business & Economics Handbook 1996

Published by Monash University
Clayton, Victoria 3168, Australia

Authorised by Academic Registrar, April 1996


ECO4850

Mathematical economic theory

Associate Professor Keith McLaren

Two 1.5 hour lectures per week + First semester + Clayton + Prerequisites: ECO3840, ECM3400, ECM3410 or a mathematics subject

Objectives On completion of this subject students should be: able to understand the necessary conditions of calculus of variations and optimal control; capable of posing and solving as problems of intertemporal optimisation the standard problems of investment, consumption and optimal growth; capable of reading current literature in these areas.

Synopsis Mathematical preliminaries; static optimisation theory; introduction to calculus of variations and optimal control theory; necessary and sufficient conditions; investment theory: costs of adjustment, neoclassical, q theory; consumption theory; use of duality theory; growth models; Hamilton Jacobi theory; discrete time stochastic models; selected current applications.

Assessment Written (three assignments): 40% + Examination (3 hours): 60%

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