In this lecture, the instructor reviews the main topics covered over the past few weeks, including functions of several variables, partial derivatives, and optimization problems. They also provide a cultural note on the importance of partial differential equations in understanding the world around us. The lecture concludes with a discussion of how to handle non-independent variables using the method of Lagrange multipliers.
A bit of a lecture on partial differential equations and review for the second exam in the course.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 15, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.