## Main.LectureNotes16 History

Hide minor edits - Show changes to output

Added lines 10-13:

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/rxcVx2gn7CU?rel=0" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

Added lines 16-17:

* %list list-page% [[Attach:Solve_ODE_MATLAB.zip | MATLAB Example Files]]

Added lines 12-19:

----

!!!! Solve ODE in MATLAB in Time and LaPlace Domain

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/3fWz0QMiK0U?rel=0" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

Deleted lines 11-17:

!!!! Homework

# Course reading for next class: 3.5 (PDC)

# Assignment due by the start of Lecture #17: 3.4, 3.6a,c, 3.7a,c from PDC

Don't forget to write the purpose at the beginning of each homework problem. This will help you think about each problem in the context of the [[Main/CourseCompetencies | overall course objectives]].

Changed lines 18-37 from:

Don't forget to write the purpose at the beginning of each homework problem. This will help you think about each problem in the context of the [[Main/CourseCompetencies | overall course objectives]].

to:

Don't forget to write the purpose at the beginning of each homework problem. This will help you think about each problem in the context of the [[Main/CourseCompetencies | overall course objectives]].

----

(:html:)

<div id="disqus_thread"></div>

<script type="text/javascript">

/* * * CONFIGURATION VARIABLES: EDIT BEFORE PASTING INTO YOUR WEBPAGE * * */

var disqus_shortname = 'apmonitor'; // required: replace example with your forum shortname

/* * * DON'T EDIT BELOW THIS LINE * * */

(function() {

var dsq = document.createElement('script'); dsq.type = 'text/javascript'; dsq.async = true;

dsq.src = 'http://' + disqus_shortname + '.disqus.com/embed.js';

(document.getElementsByTagName('head')[0] || document.getElementsByTagName('body')[0]).appendChild(dsq);

})();

</script>

<noscript>Please enable JavaScript to view the <a href="http://disqus.com/?ref_noscript">comments powered by Disqus.</a></noscript>

<a href="http://disqus.com" class="dsq-brlink">comments powered by <span class="logo-disqus">Disqus</span></a>

(:htmlend:)

----

(:html:)

<div id="disqus_thread"></div>

<script type="text/javascript">

/* * * CONFIGURATION VARIABLES: EDIT BEFORE PASTING INTO YOUR WEBPAGE * * */

var disqus_shortname = 'apmonitor'; // required: replace example with your forum shortname

/* * * DON'T EDIT BELOW THIS LINE * * */

(function() {

var dsq = document.createElement('script'); dsq.type = 'text/javascript'; dsq.async = true;

dsq.src = 'http://' + disqus_shortname + '.disqus.com/embed.js';

(document.getElementsByTagName('head')[0] || document.getElementsByTagName('body')[0]).appendChild(dsq);

})();

</script>

<noscript>Please enable JavaScript to view the <a href="http://disqus.com/?ref_noscript">comments powered by Disqus.</a></noscript>

<a href="http://disqus.com" class="dsq-brlink">comments powered by <span class="logo-disqus">Disqus</span></a>

(:htmlend:)

Changed line 9 from:

* %list list-page% [[Attach:Laplace_Transforms.~~zip~~ | Laplace Transform Table]]

to:

* %list list-page% [[Attach:Laplace_Transforms.pdf | Laplace Transform Table]]

Added lines 1-18:

!!! Lecture 16 - Laplace Transforms

Laplace Transforms allow differential equations to be converted to algebraic relationships. These algebraic relationships can be rearranged and solved for the dependent variable. Once they are rearranged, an inverse Laplace Transforms gives the solution in the time-domain.

* %list list-page% [[Attach:Lecture16_notes.pdf | Lecture 16 Notes]]

* %list list-page% [[Attach:Lecture16_handout.pdf | Lecture 16 Handout]]

* %list list-page% [[Attach:Laplace_Transforms.zip | Laplace Transform Table]]

There are a number of proficiencies that are required to transform to and from the Laplace domain. Some of these include integration and partial fraction expansion. These are topics that were covered in prerequisite math courses so much of the material should be review. The new application will be applying these techniques to physical systems for solving process control problems.

!!!! Homework

# Course reading for next class: 3.5 (PDC)

# Assignment due by the start of Lecture #17: 3.4, 3.6a,c, 3.7a,c from PDC

Don't forget to write the purpose at the beginning of each homework problem. This will help you think about each problem in the context of the [[Main/CourseCompetencies | overall course objectives]].

Laplace Transforms allow differential equations to be converted to algebraic relationships. These algebraic relationships can be rearranged and solved for the dependent variable. Once they are rearranged, an inverse Laplace Transforms gives the solution in the time-domain.

* %list list-page% [[Attach:Lecture16_notes.pdf | Lecture 16 Notes]]

* %list list-page% [[Attach:Lecture16_handout.pdf | Lecture 16 Handout]]

* %list list-page% [[Attach:Laplace_Transforms.zip | Laplace Transform Table]]

There are a number of proficiencies that are required to transform to and from the Laplace domain. Some of these include integration and partial fraction expansion. These are topics that were covered in prerequisite math courses so much of the material should be review. The new application will be applying these techniques to physical systems for solving process control problems.

!!!! Homework

# Course reading for next class: 3.5 (PDC)

# Assignment due by the start of Lecture #17: 3.4, 3.6a,c, 3.7a,c from PDC

Don't forget to write the purpose at the beginning of each homework problem. This will help you think about each problem in the context of the [[Main/CourseCompetencies | overall course objectives]].