Republic of Mathematics blog

Archive for February 2011

Some fun with a (very) simple matrix

Posted by: Gary Ernest Davis on: February 20, 2011

Geometry of a transformation The matrix is very simple: it has entries consisting only of 0’s and 1’s. As a matrix we can think of as transforming points in the euclidean plane. These are points with coordinates where are real numbers. The matrix transforms the point into the point : We can look at what […]

First steps in differential equations: learning to see and to think

Posted by: Gary Ernest Davis on: February 19, 2011

Differential equations and studio learning This semester I am once again teaching introductory differential equations. The students in this class are mainly engineering majors, with some mathematics and physics majors, for whom the course is mandatory. Occasionally a humanities or business major will enroll in this class for interest, but not this semester. The computer […]