Frontiers in Science is a scientist speaker series exploring the new discoveries at
the interface of astronomy, biology, chemistry, computer science, mathematics, physics
and engineering. These seminars introduce audiences from all disciplines and academic
levels to the intrigue and fun of scholarly pursuits in the natural and physical science
The one-hour seminars are free and open to the public. Located in SCI 2, Room 242, from 12-1PM.
Two talks in one! You will be the students, as we present some simple and fun mathematics, namely how to use the quaternions to describe rotations in three dimensions. This content will probably be new to everyone, but has broad applications to computer graphics, robotics, and aeronautics. Along the way, we will model a variety of active engagement strategies that can be used in any STEM classroom, point out the strategies we are using, and briefly discuss how to implement them effectively in the classroom.
Without question, Leonhard Euler (1707-1783) ranks among the greatest mathematicians of all time. The remarkable quality of his achievement is matched only by the equally remarkable quantity of his achievement – indeed, Euler’s collected works contain over 25,000 pages of pure and applied mathematics. In this talk, we sketch his life and mention a handful of his contributions to the mathematical sciences – from number theory to analysis to geometry. Then we examine in detail his derivation, using integral calculus, of what is now known as “Euler’s identity” – i.e., 𝑒^ix = cos 𝑥 + 𝑖 sin 𝑥. This ingenious argument should make clear why Euler is regarded as such a towering figure from the history of mathematics.
NOTE: This talk should be accessible to anyone who has completed the calculus sequence.
Edward Price, Ph.D.
Professor of Applied Physics