<commit_before># Lesson Title (e.g. One Dimensional Heat Equation)

### Overview


Questions|Objectives|Key Points
---|---|----
<font size="2">-----------------------------------------------<br/>* What is the FTCS algorithm?<br/>* How does thermal diffusivity effect time to solution?<br/>*What is stability of a numerical algorithm?<br/>What is the difference between explicit and implicit method?</font>|<font size="2">-----------------------------------------------------<br/>* Understand how choice in numerical solution method impacts time to solution, memory usage, accuracy and/or stability<br/>* Understand how non-trivial problems become intractible without software packages</font>|<font size="2">-----------------------------------------------------<br/>*Got here                                             <br/>* Got here<br/>* Got here<br/></font>


## The equation being solved

![](http://latex.codecogs.com/gif.latex?%5Cfrac%7B%5Cpartial%20u%7D%7B%5Cpartial%20t%7D%20%3D%20%5Calpha%20%5Cfrac%7B%5Cpartial%5E2%20u%7D%7B%5Cpartial%20x%5E2%7D)
<commit_msg>adding info, cleaning up<commit_after># Lesson Title

## Overview (Expected # minutes to complete)

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Questions|Objectives|Key Points
---|---|----
<font size="1">------------------------------------------------------------<br/>* Question 1?<br/>* Question 2?<br/>* Question 3?<br/></font>|<font size="1">------------------------------------------------------------<br/>* Objective 1<br/>* Objective 2<br/>* Objective 3</font>|<font size="1">------------------------------------------------------------<br/>* Key Point 1<br/>* Key Point 2<br/>* Key Point 3<br/></font>

## The problem being solved

![](http://latex.codecogs.com/gif.latex?%5Cfrac%7B%5Cpartial%20u%7D%7B%5Cpartial%20t%7D%20%3D%20%5Calpha%20%5Cfrac%7B%5Cpartial%5E2%20u%7D%7B%5Cpartial%20x%5E2%7D)

Include a picture or graphic here if relevant


## The Example Source Code

Describe the application, its command-line arguments, have a link to view the source code

Maybe include information on how to compile here too.

## Running the Example


### Run 1

Give the command-line to run the example

#### Expected Behavior

Include here what learner should expect to happen

* How long might it take to run
* How long might they have to wait for resources before it can run
* What should they seen on their terminal

#### Examining Results

Include here commands, tools to view/examine results from the run

### Run 2

### Run 3

### Other References

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