http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-27T00:44:51-08:00 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:lasw:index?rev=1345785846 text/html 2013-07-26T10:49:39-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswadjoint?rev=1374860979 The Prompt Take the Hermitian adjoint of the following statement: $$ A\vert v\rangle=\lambda\vert v\rangle $$ Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2016-07-07T13:57:41-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswdot?rev=1467925061 The Prompt “Write down something you know about the dot product.” Context This SWBQ is intended to be a quick review of the properties of the dot product. Wrap Up Collect a selection of responses from the students. Order them to make a coherent review and then hold them up and discuss the properties. Make sure to include an example of the geometric definition: $$\vec v \cdot \vec w = \vert \vec v \vert\; \vert \vec w\vert \cos\theta$$ and the algebraic definition: $$\vec v \cdot \… text/html 2013-07-26T10:53:48-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prsweigval?rev=1374861228 The Prompt Find the eigenvalues of the following matrix: $$ A=\left(\begin{array}{c} 1&2\\ 9&4\\ \end{array}\right) $$ Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T11:06:47-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswfunclength?rev=1374862007 The Prompt “Write down the length of a function in Dirac notation.” Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:57:23-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswhermitian?rev=1374861443 The Prompt “Write down the conditions for a generic form of a matrix that is a Hermitian Matrix. Give an example of a Hermitian matrix.” Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide] text/html 2013-07-26T10:59:37-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswinnnerproducts?rev=1374861577 The Prompt For the generic bra vector $<v|$ and ket vector $|w>$ we can compute the inner product. Write it down. [Powerpoint slide] [PDF slide] With vectors $$ \vert 1\rangle =\left(\begin{array}{c} 1\\ 0\\ 0\\ \end{array}\right) $$ $$ \vert r\rangle =\left(\begin{array}{c} 0\\ 1\\ 1\\ \end{array}\right) $$ text/html 2013-07-26T11:07:32-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswmatrix?rev=1374862052 The Prompt With the following matrices, $$ A=\left(\begin{array}{cc} 3&-1\\ 7&1-2i\\ \end{array}\right) $$ $$ B=\left(\begin{array}{cc} i&1\\ 0&2\\ \end{array}\right) $$ Add A to B. Multiply A by 2. Compute AB. Find the transpose and Hermitian adjoint of A. text/html 2013-07-26T11:08:06-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswrotationmatrices?rev=1374862086 The Prompt How does one identify what a rotation is? [Powerpoint slide] [PDF slide] Write down conditions for rotation matrices. [Powerpoint slide] [PDF slide] Context This SWBQ Wrap Up text/html 2013-07-26T11:04:31-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswvecmanip?rev=1374861871 The Prompt Write down a particular manipulation one can do with vectors. [Powerpoint slide] [PDF slide] Context This SWBQ Wrap Up text/html 2016-08-03T16:09:13-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswvectordef?rev=1470265753 The Prompt “Write down something you know about vectors.” Context This SWBQ is intended to prepare students for the more abstract treatment of vectors in linear algebra contexts. Wrap Up Student responses typically include the dot and cross products, but more advanced students may bring up more advanced language (such as inner products) or more advanced concepts entirely (such as orthogonality relations or vector spaces). [Powerpoint slide] [PDF slide] text/html 2016-08-03T16:05:28-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:prswvectorreps?rev=1470265528 Prompt “Write down a representation of a 2D vector.” Context This SWBQ is intended to refresh students' memories of the varying representations of vectors seen throughout undergraduate math and physics courses. Further, this SWBQ segues well into an introductory discussion of Bra-Ket notation. text/html 2012-08-22T22:14:50-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:title?rev=1345698890 Linear Algebra SWBQs text/html 2013-07-26T11:48:49-08:00 http://sites.science.oregonstate.edu/portfolioswiki/swbq:lasw:wvsweigvalq?rev=1374864529 The Prompt Write down an example of an eigenvalue equation. Context This SWBQ Wrap Up [Powerpoint slide] [PDF slide]