Physical Sciences and Mathematics Commons^™

Ingrid Daubechies Wavelet Activity (Function Transformations), Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide the students with a small taste of some basic mathematics connected to the work of Ingrid Daubechies on wavelets. The activity could also be used in a high school algebra or college algebra course to motivate transformations of functions, in particular, translation (shifting) and scaling. The functions used are a basic quadratic x², the exponential function e^x , and the sine function, but other functions could be used to fit the level of the students.