21-256
Multivariate Analysis
Fall or Spring: 9 units

Matrix algebra: vectors, matrices, systems of equations, dot product, cross product, lines and planes. Optimization: partial derivatives, the chain rule, gradient, unconstrained optimization, constrained optimization (Lagrange multipliers and the Kuhn-Tucker Theorem). Improper integrals. Multiple integration: iterated integrals, probability applications, triple integrals, change of variables. 3 hours lecture, 2 hours recitation.

Prerequisite: 21-112 or 21-120.

This course is designed for students in Economics or Business Administration.