extend equations exercise

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Tom van Woudenberg 2025-04-01 07:47:38 +02:00
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@ -19,7 +19,29 @@ Using properly formatted equations makes mathematical expressions clearer and mo
$$ F_{res} = m \cdot a $$
```
3. Now, add an inline equation by enclosing the equation with single dollar signs. Try this example:
```{tip}
The syntax used for creation equations is TeX, a markup language for math. It's often part of the software-system LaTeX, which allows to create full documents in this language. There's plenty of documentation online on how to use it, including graphical interfaces (for example [this one](https://latexeditor.lagrida.com/))
```
3. Now let's add another equation with an error:
```md
$$ E = m \ccdot c^2 $$
```
4. Check whether the equations renders correctly by clicking `preview`. Note that all ill-formatted equation are indicated in red, i.e. $\red{\text{\ccdot}}$
5. As an alternative you try and use the 'math directive'. This will have the same results + adds a equation number which can be used for referencing:
````md
```{math}
v = a \cdot t
```
````
6. Click on `preview` again. Note that these equations don't render. That's because the 'math directive' is a MyST feature (an extension of markdown), which is not supported by the GitHub previewer that only support markdown.
7. Now, add an inline equation by enclosing the equation with single dollar signs. Try this example:
```md
@ -28,7 +50,7 @@ The displacement can be found using the equation $s = v \cdot t$.
## Formatting mathematical symbols
4. In this step we will experiment with different LaTeX symbols. Use the following table and test each example in your Markdown file:
8. In this step we will experiment with different TeX symbols. Use the following table and test each example in your Markdown file:
| Name | Script |
@ -40,7 +62,7 @@ The displacement can be found using the equation $s = v \cdot t$.
| Superscript | `^{N}` |
| Multiplication | `\cdot` |
5. Extend this exercise by trying more advanced mathematical expressions:
9. Extend this exercise by trying more advanced mathematical expressions:
| Name | Script |
|---|---|
@ -48,15 +70,15 @@ The displacement can be found using the equation $s = v \cdot t$.
| Integral | `\int_a^b dx` |
| Sine function | `\sin(x)` |
6. Test your understanding by adding a new equation of your choice, ideally one that requires many LaTex symbols!
10. Test your understanding by adding a new equation of your choice, ideally one that requires many LaTex symbols!
7. When you are ready, commit your changes to the repository by clicking on the green `Commit changes` button.
11. When you are ready, commit your changes to the repository by clicking on the green `Commit changes` button.
8. Add a commit message.
12. Add a commit message.
9. To see your changes, go to {octicon}`play;1em` `Actions` - The most recent workflow run `overview.md / the commit message of the commit you just made` - Wait for it to finish - In the summary, click on the link of your book shown in the table `Branches deployed` and under `Primary book at root` (getting bored of waiting? There'll be exercising on doing this locally which prevents you from waiting).
13. To see your changes, go to {octicon}`play` `Actions` - The most recent workflow run `overview.md / the commit message of the commit you just made` - Wait for it to finish - In the summary, click on the link of your book shown in the table `Branches deployed` and under `Primary book at root` (getting bored of waiting? There'll be exercising on doing this locally which prevents you from waiting).
10. Do you see your change? If you don't see it click `CTRL`+`F5`/`Control`+`F5`to refresh the page.
14. Do you see your change? If you don't see it click `CTRL`+`F5`/`Control`+`F5`to refresh the page.
```{admonition} Check your understanding
@ -64,7 +86,8 @@ The displacement can be found using the equation $s = v \cdot t$.
Before moving on to the next exercise, make sure you understand the following:
- What is the difference between inline and block equations?
- How do you use LaTeX formatting for different mathematical symbols?
- How do you use TeX formatting for different mathematical symbols?
- What is the purpose of using single vs. double dollar signs for equations?
- How do you troubleshoot if your equations are not rendering correctly?
```