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2-005-LinearizeItAll-TechniqueNarrative

Author(s): Don Hickethier

Flathead Valley Community College, Kalispell MT USA

Keywords: computation error Torricelli's Law data fitting linear approximation

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Abstract

Resource Image Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

A simple model using Torricelli's Law will compare the exact solution to the nonlinear ODE model with its first order approximation.

Students should have seen the derivation of this ODE.

The concepts of experimental, approximation, and computational errors in modeling are explored.

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Authors

Author(s): Don Hickethier

Flathead Valley Community College, Kalispell MT USA

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