Course: Calculus I
Topic: Analysis of Curves
Subtopic: Optimization Applications


Optimization is a process where we use calculus to find the maximum or minimum of a function that is subject to certain constraints. These applications are prevalent in STEM. For instance an engineer may need to minimize the use of steel by designing a bridge to be strong and efficient yet under certain constraints such as its length, the forces it will hold, and the geography of the area in which it will lie.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: optimize, optimization, constraint, constraint equation

Mini-Lectures and Examples

STUDY: Optimization Applications & Antiderivatives

Supplementary Resources (optional)

Video: Applied Optimization Problems, Selwyn Hollis's Video Calculus

Lesson: Applied Maximum and Minimum Problems, Dale Hoffman's Contemporary Calculus

Lessons: Optimization Problems, Paul's Online Calculus Notes
and More Optimization Problems, Paul's Online Calculus Notes

rev. 2020-11-09