Math Across the Cannon

Math Across The Cannon – Thursday, May 2, 2019

Guest Speaker: Robert Ghrist, Andrea Mitchell University Professor of Math and Electrical/Systems Engineering, University of Pennsylvania

Afternoon Lecture: Carleton College, Olin 141, Reception @ 3 pm, Lecture @ 3:30 pm

Topological Methods for Data
Abstract: Mathematics implicates motions and machines; computations and colorings; the strings and arrows of life. Perhaps the grandest expression of the beauty and power of Mathematics is revealed in the quantification and qualification that which is not there: holes. Topology — the mathematics of holes — will be surveyed with a fresh look at the many ways in which topology is used in data, networks, neuroscience, and optimization.

Evening Lecture: St. Olaf College, Viking Theater, Lecture @ 7 pm, Reception to follow

A Vision of Multivariable Calculus
Abstract: This talk will address certain challenges in teaching multivariable calculus. Classical texts emphasize calculus in dimensions two or three, based on 19th and 20th century applications to physics. At present, many of our students are more motivated by data and systems in higher dimensions. How can a calculus course best adapt to these needs, without overwhelming students (or professors)? This talk will outline a plan for increasing both the dimension and sophistication of multivariable calculus instruction with the use of video. Topics covered will include the use of visualization, matrix algebra, and differential forms.