http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-27T05:01:01-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2017-11-15T14:18:56-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:incrd?rev=1510784336 Lecture ( minutes) Give the students a = 6bc - eFb/7 and ask them to write down a partial derivative they can find from this equation. Students are likely to come with derivatives of a, and should be encouraged to note what they are holding constant explicitly. They may not realize that it is possible to find inverses of those derivatives, or that it is even possible to find a derivative of b with respect to c. If no students do, ask them to zap with d. This is an opportunity to give an i… text/html 2018-08-20T09:19:33-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:indiffzap?rev=1534781973 Main ideas Lecture (30 minutes) Ask students to make a sketch of f = 7x2 on the big white board. What are the variables of interest? One idea here is to note that x is not the only variable here: f is also a variable from a physics perspective. text/html 2012-07-16T13:39:42-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inleccyclchrulegeometry?rev=1342471182 Lecture: Proving the Cyclic Chain Rule Using Geometry (5 minutes) text/html 2012-07-16T09:48:03-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inlecextintvar?rev=1342457283 Lecture: Finding Intensive and Extensive Variables (5 minutes) FIXME text/html 2016-07-12T13:02:13-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inlegendre?rev=1468353733 Legendre Transforms (20 minutes) “”“”“”“” text/html 2016-07-12T13:00:40-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inmawwell?rev=1468353640 Mixed Partials and a Maxwell Relation (15 minutes) “” text/html 2018-08-20T09:46:12-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inpaths?rev=1534783572 Lots of Ways to Change a State (10 minutes) Everyone stand up. In your group, one person controls the left side, a different person controls the right side, and someone is the observer/director. Starting from about 100 g on each side, and without using the weights, change the state of the system from its initial state so that $x_L$ is increased by 4 cm and $x_R$ is increased by 3 cm. (Note that students might try to change both things at the same time. You can ask them to be more systemati… text/html 2017-11-15T14:05:55-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inpdmdict?rev=1510783555 Lecture (25 minutes) Describe a simple gas in a piston system and make a large sketch on the whiteboard. Emphasize to students that even though they will spend a lot of time working with the ideal gas, we are going to think about general gas properties, and so we will not be reasoning from the ideal gas law. text/html 2017-08-30T10:29:05-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inpotentialspring?rev=1504114145 Lecture ( 5 minutes) text/html 2016-07-12T13:13:54-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:intotaldiff?rev=1468354434 Lecture: Total Differentials (10 Minutes) text/html 2013-07-25T10:45:43-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:inlec:inusetotaldiff?rev=1374774343 Lecture (5 minutes) There are only a few things that can be done mathematically with total differentials. They are: