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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
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Course: Calculus I
Topic: Analysis of Curves
Subtopic: Optimization Applications

Overview

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.

Objectives

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

Terminology

Define: optimize, optimization, constraint, constraint equation

Supplementary Resources (optional)

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

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