Created on: October 29, 2014

Website Address: https://library.curriki.org/oer/AD14-Geometric-interpretation-of-differential-equations-via-slope-fields-70634

TABLE OF CONTENTS

- Differential Equations
- Slope fields
- Slope Fields
- Slope Field: Example 1
- ODE | Slope fields
- Differential Equations & Slope Fields
- Slope Fields
- Differential Equations Exercises
- Introduction to Differential Equations Exercises
- Slope Fields Exercises
- Differential Equations; First-Order Linear Equations Exercises
- Separable Equations Exercises

Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations

Mooculus Calculus Textbook Section 11.2 pp 193-195

It may be hard or even impossible to find an explicit solution to for some differential equations. Fortunately, if the DE is 1st order we can graph the differential equation’s slope field and see the solution curves, even if we cannot write down their exact equation.

A Firefly Lectures video on this topic.Video duration: 9:34

A Firefly Lectures video on this topic.Video duration: 9:56

A Youtube video on this topic.Video duration: 4:39

A Math League of America video on this topic.Video duration: 18:53

A calculus applet illustrating the topic. Requires security enabled Java.

Mooculus Calculus Textbook Exercises, Sect 11.2 p 196 (ex 9&10) (Ans p 253)This set of exercises supports the following Standards of Mathematical Practice1 Make sense of problems and persevere in solving them.2 Reason abstractly and quantitatively.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

This set of exercises supports the following Standards of Mathematical Practice1 Make sense of problems and persevere in solving them.2 Reason abstractly and quantitatively.4 Model with mathematics.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

This set of exercises supports the following Standards of Mathematical Practice1 Make sense of problems and persevere in solving them.2 Reason abstractly and quantitatively.4 Model with mathematics.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

This set of exercises supports the following Standards of Mathematical Practice1 Make sense of problems and persevere in solving them.2 Reason abstractly and quantitatively.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

This set of exercises supports the following Standards of Mathematical Practice1 Make sense of problems and persevere in solving them.2 Reason abstractly and quantitatively.4 Model with mathematics.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.