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Applied Differential Equations with Insightmaker and Data (Fall 2024 Ed.)
Erich McAlister
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Front Matter
Colophon
Acknowledgements
Preface
1
Introduction to Insightmaker for ODEs
1.1
Insights and ODEs
1.1.1
ODEs and IVPs
1.1.2
Insights of IVPs
1.2
Some Examples
1.3
Dimensional Analysis in ODEs and Insights
2
First-Order Modeling Scenarios
2.1
Modeling a Sprint with Insightmaker
2.1.1
Creating the Model Diagram
2.1.2
Establish Settings and Create Formulas
2.1.3
Using Data
2.1.4
Sprint Insights
2.2
Fastest Pitch?
2.3
Modeling Cancer Treatment
2.4
Multiple Drug Doses
3
Higher Order Equations and Systems
3.1
Half Wheel Hell
3.2
Salt Tank Models
3.2.1
Basic Mixing Problems
3.2.2
Two Tanks with Constant Fluid Volume
3.2.3
Two Tanks without Constant Fluid Volume
3.3
Disease Models
3.3.1
The Basic SIR Model
3.3.2
Variations on the SIR Model
3.4
Oscillators
3.4.1
Harmonic Oscillators
3.5
Conserved Quantities
3.6
Ripcord Cars with Energy
Backmatter
Index
References
Colophon
Colophon
©2024 Erich McAlister
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. To view a copy of this license, visit
http://creativecommons.org/licenses/by-sa/4.0/
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