Linear Approximations

Summary

Prof. Ben Brubaker defines and explores the properties of the linear approximation of a function at a point. The linear approximation is then applied to solve a simple differential equation encountered in chemical kinetics.

Learning Objectives

After watching this video students will be able to:

• Recognize the linear approximation of a function as the tangent line to the function.
• Apply linear approximations to solve a simple differential equation.
• Explain the limitations of linear approximations mathematically and graphically.

Funding provided by the Singapore University of Technology and Design (SUTD)

Developed by the Teaching and Learning Laboratory (TLL) at MIT for SUTD

MIT © 2012