http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-27T00:46:08-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2012-08-23T22:24:06-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:index?rev=1345785846 text/html 2012-08-22T22:01:17-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:title?rev=1345698077 Vector Calculus SWBQs text/html 2013-07-26T10:03:41-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswcrossdef?rev=1374858221 Prompt “Write down something you know about the cross product.” Context This SWBQ opens up discussion on the geometrical meaning of the cross product. This SWBQ is mostly a review exercise. Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:06:15-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswcurl?rev=1374858375 Prompt “The curl of an arbitrary vector field is equal to” $$\Vec ∇\times \Vec v = ?$$ Context This SWBQ leads to discussion and review of the curl vector operator (supposed to be) learned in a previous course. This reminder is useful when students learn the differential form of Maxwell's equations for the first time. text/html 2013-07-26T10:07:40-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswdasphere?rev=1374858460 The Prompt “Find the infinitesimal area element $dA$ of a sphere”. Context This SWBQ follows well from how to compute infinitesimal area elements in general, and opens up discussion on how to compute the differential area element of geometric objects. text/html 2013-07-26T10:12:32-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswdotdef?rev=1374858752 The Prompt “Write down something you know about the dot product.” Context This SWBQ opens up discussion about the geometrical meaning of the dot product and the different ways one is likely to see the dot product notated. Wrap Up Answers you're likely to see: text/html 2013-07-26T10:17:29-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswdrawdis?rev=1374859049 The Prompt “Draw the picture that goes along with” $$ |\vec{r}-\vec{r}'| $$ Context This SWBQ... Wrap-Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:19:03-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswdrawvectorfields?rev=1374859143 The Prompt “Draw a vector field that has divergence, but no curl. Draw a vector field that has curl, but no divergence.” Context This SWBQ... Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:21:15-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswelliptical?rev=1374859275 The Prompt “Draw an elliptical hill and draw a vector pointing in the direction of the gradient.” Context This SWBQ... Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:21:58-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswflux?rev=1374859318 Prompt “Write down something you know about flux.” Context This SWBQ is usually done as an introduction to the Concept of Flux Activity (there is a narrative that demonstrates how one might transition from one to the other). It is an opportunity for the instructor to find out what the students already know about the flux so as to focus the succeeding discussion appropriately. text/html 2015-06-26T16:31:14-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswgradient?rev=1435361474 “Write down something you know about gradients.” Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:23:53-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswmagdis?rev=1374859433 The Prompt Write down what $ \vec{r} - \vec{r}' $ is, and find the magnitude of this expression. Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:24:44-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswmaster?rev=1374859484 The Prompt “Write down what it is we want to write to complete the expression below” $$ df = (......) \cdot (dr\hat{r}+rd\phi\hat{\phi} )$$ Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:33:12-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswscalartriple?rev=1374859992 The Prompt Write something you know about the scalar triple product. Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:34:02-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswsurface?rev=1374860042 The Prompt “In cylindrical coordinates draw a surface for r equals constant and a surface for $\varphi$ equals constant.” Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:35:42-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswtotaldiff?rev=1374860142 The Prompt “Given the function $f(x,y)$, write the total differential $df$.” Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:36:44-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:vcsw:vfswvolelecyl?rev=1374860204 The Prompt “What's the infinitesimal volume element for a cylinder?” Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide]