Skip to content

Commit c85ff4c

Browse files
authored
Update README.md
Adjust image widths and table headers
1 parent adefa3d commit c85ff4c

File tree

1 file changed

+8
-6
lines changed

1 file changed

+8
-6
lines changed

README.md

Lines changed: 8 additions & 6 deletions
Original file line numberDiff line numberDiff line change
@@ -53,32 +53,34 @@ MATLAB® and Symbolic Math Toolbox™ are used throughout.
5353
## [**SlopeFields.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Qualitative-Analysis-of-ODEs&project=ODE_Analysis.prj&file=SlopeFields.mlx)
5454
| | **In this script, students will...** | **Applications** |
5555
| :-- | :-- | :-- |
56-
| <img src="Images/drawnSolutionV2.png" width="171" alt="drawnSolutionV2.png"> |<br>- classify ODEs as autonomous or non-autonomous <br>- describe how a slope field is generated <br>- draw ODE solutions through the slope field by hand <br>- explain the physical meaning of terms in an energy balance climate model <br>- plot solutions of the energy balance climate model | Energy balance model<img src="Images/radiation_reflection.png" width="171" alt="radiation_reflection.png"> |
56+
| <img src="Images/drawnSolutionV2.png" width="250" alt="drawnSolutionV2.png"> |<br>- classify ODEs as autonomous or non-autonomous <br>- describe how a slope field is generated <br>- draw ODE solutions through the slope field by hand <br>- explain the physical meaning of terms in an energy balance climate model <br>- plot solutions of the energy balance climate model | Energy balance model<img src="Images/radiation_reflection.png" width="171" alt="radiation_reflection.png"> |
5757

5858
<a name="H_268831C4"></a>
5959
## [**Equilibria1D.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Qualitative-Analysis-of-ODEs&project=ODE_Analysis.prj&file=Equilibria1D.mlx)
6060
| | **In this script, students will...** | Application |
6161
| :-- | :-- | :-- |
62-
| <img src="Images/EBMSlopeField.png" width="171" alt="EBMSlopeField.png"> |<br>- solve for equilibria of autonomous first order ODEs <br>- classify equilibria as stable, unstable, or semi-stable <br>- draw phase line portraits of autonomous ODEs and relate them to the slope field <br>- find the equilibria of the energy balance climate model <br>- describe the real-world meaning of the climate model equilibria | Energy balance model<img src="Images/radiationV2.png" width="171" alt="radiationV2.png"> |
62+
| <img src="Images/EBMSlopeField.png" width="250" alt="EBMSlopeField.png"> |<br>- solve for equilibria of autonomous first order ODEs <br>- classify equilibria as stable, unstable, or semi-stable <br>- draw phase line portraits of autonomous ODEs and relate them to the slope field <br>- find the equilibria of the energy balance climate model <br>- describe the real-world meaning of the climate model equilibria | Energy balance model<img src="Images/radiationV2.png" width="171" alt="radiationV2.png"> |
6363

6464
<a name="H_6E660262"></a>
6565
## [**PhasePlanes.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Qualitative-Analysis-of-ODEs&project=ODE_Analysis.prj&file=PhasePlanes.mlx)
6666
| | **In this script, students will...** | Application |
6767
| :-- | :-- | :-- |
68-
| <img src="Images/pp1.png" width="171" alt="pp1.png"> |<br>- write a second order ODE as a first order ODE system <br>- describe how a phase plane is generated <br>- relate solutions plotted on the phase plane to time series solution plots <br>- compare behaviors of the mass-spring-damper model under variations in the damping coefficient | <img src="Images/pendulum3.jpeg" width="117" alt="pendulum3.jpeg"> |
68+
| <img src="Images/pp1.png" width="220" alt="pp1.png"> |<br>- write a second order ODE as a first order ODE system <br>- describe how a phase plane is generated <br>- relate solutions plotted on the phase plane to time series solution plots <br>- compare behaviors of the mass-spring-damper model under variations in the damping coefficient | <img src="Images/pendulum3.jpeg" width="117" alt="pendulum3.jpeg"> |
6969

7070
<a name="H_39CA0E52"></a>
7171
## [**LinearPhasePlaneAnalysis.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Qualitative-Analysis-of-ODEs&project=ODE_Analysis.prj&file=LinearPhasePlaneAnalysis.mlx)
7272
| | **In this script, students will...** | Application |
7373
| :-- | :-- | :-- |
74-
| <img src="Images/ClassifyingSpiralsCenters.png" width="171" alt="ClassifyingSpiralsCenters.png"> |<br>- find equilibria of a second order ODE system <br>- compute the eigenvalues of the coefficient matrix of a linear ODE system <br>- classify equilibria as nodes, saddles, spirals, or centers <br>- categorize the behavior of the mass-spring-damper model by analyzing its coefficient matrix | <img src="Images/mass_spring_damper.jpeg" width="165" alt="mass_spring_damper.jpeg"> |
74+
| <img src="Images/ClassifyingSpiralsCenters.png" width="220" alt="ClassifyingSpiralsCenters.png"> |<br>- find equilibria of a second order ODE system <br>- compute the eigenvalues of the coefficient matrix of a linear ODE system <br>- classify equilibria as nodes, saddles, spirals, or centers <br>- categorize the behavior of the mass-spring-damper model by analyzing its coefficient matrix | <img src="Images/mass_spring_damper.jpeg" width="165" alt="mass_spring_damper.jpeg"> |
7575

7676
<a name="H_2371D2B7"></a>
7777
# Related Courseware Modules
7878
<a name="H_868F5748"></a>
7979
## [Phase Plane and Slope Field](https://www.mathworks.com/matlabcentral/fileexchange/91705-phase-plane-and-slope-field-apps)
80-
| <img src="Images/pp2.png" width="171" alt="pp2.png"> | **Available on:**[<img src="Images/OpenInFX.png" width="91" alt="OpenInFX.png">](https://www.mathworks.com/matlabcentral/fileexchange/91705-phase-plane-and-slope-field-apps) *(edit hyperlink accordingly)*[<img src="Images/OpenInMO.png" width="136" alt="OpenInMO.png">](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field) *(edit hyperlink accordingly)*[GitHub](https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field) *(edit hyperlink accordingly)* |
81-
| :-- | :-- |
80+
| **Phase Plane App** | **Slope Field App** | **Available on:** |
81+
| :-- | :-- | :-- |
82+
| <img src="Images/pp2.png" width="270" alt="phase plane screenshot"> | <img src="https://user-images.githubusercontent.com/81383420/117192143-60cf1c00-adaf-11eb-97f3-f7ae9320ef54.png" width="250" alt="slope field screenshot"> | [<img src="Images/OpenInFX.png" width="91" alt="OpenInFX.png">](https://www.mathworks.com/matlabcentral/fileexchange/91705-phase-plane-and-slope-field-apps) <br>[<img src="Images/OpenInMO.png" width="136" alt="OpenInMO.png">](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field) <br>[GitHub](https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field)|
83+
8284

8385

8486
Or feel free to explore our other [modular courseware content](https://www.mathworks.com/matlabcentral/fileexchange/?q=tag%3A%22courseware+module%22&sort=downloads_desc_30d).

0 commit comments

Comments
 (0)