http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-27T04:01:03-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2016-07-28T09:47:04-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:prlec:prlecbraket?rev=1469724424 Lecture: Introduction to Bra-ket Notation (?? minutes) [Vector Calculations in Bra-ket notation (.pdf)][Vector Calculations in Bra-ket notation (.docx)]~ text/html 2017-09-15T09:09:22-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:prlec:prleccomplexalgebra?rev=1505491762 Lecture: Basic Algebra of Complex Numbers (15 minutes) Review basic algebra of complex numbers: Emphasize rationalization of fractions. text/html 2017-01-23T13:19:25-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:prlec:prleceigenvalues?rev=1485206365 Lecture: Finding Eigenvalues and Eigenvectors (?? minutes) Give a mini-lecture on how to calculate eigenvalues and eigenvectors. It is often easiest to do this with an example. We like to use the matrix $$A_7\doteq\pmatrix{1&2\cr 9&4\cr}$$ from the Linear Transformations activity since the students have already seen this matrix and know what it's eigenvectors are. text/html 2012-01-25T06:40:52-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:prlec:prlechermitian?rev=1327502452 Lecture (10 minutes - 40 minutes with proofs) i.e. Notes for this lecture: text/html 2017-09-15T08:21:07-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:prlec:prlecmatrixmanip?rev=1505488867 Lecture: Review of Matrix Manipulations (45 minutes) Use the handout below to review basic matrix operations. A good review is to pose an example of each operation, using simple numbers, and ask students to write the result on their small whiteboards. Spend time reviewing those operations that are tricky. text/html 2011-07-04T15:31:58-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:prlec:prlecrotations?rev=1309818718 Rotation Matrices in 2 and 3 Dimensions (Lecture) “”FIXMEFIXME text/html 2017-01-23T13:25:57-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:prlec:prlecvectorspaces?rev=1485206757 Lecture: Properties of Linear Vector Spaces (Up to 30 Minutes) If you run out of time, this lecture can be summarized in a few minutes by telling students that they know about 2-d and 3-d arrows in space. These vectors form what is formally called a vector space. The key features of a vector space is that the set of objects can be “added” and “multiplied by numbers (scalars)” and that the resulting objects are also vectors in the vector space. This property is called “closure”. …