Temple Math Club is an active and 4 Star student club, which organizes weekly events on Fridays 4:00 PM to 5 PM (currently the meeting room is Wachman Hall 617).
We invite speakers on various mathematics and applied science fields, that could inspire our math, science, engineering majors and all other math enthusiasts. Sometimes we organize events outside campus, such as watching Math/Science movies.
Club officers are:
Faculty Advisors:
Undergraduate Chair:
In this talk we discuss the trajectories of rays containing multiple wavelengths (i.e. with multiple colors). Dispersion of such light creates chromatic aberration at the target which is a limitation of various optical design. We investigate existence of lenses focusing light into a target eliminating light aberration.
Abstract: As we are hurled through the terrifying emptiness of space, it is natural to ask: what is the shape of the universe? Is it flat, and if so is it finite or infinite? Or is it round, closing up on itself like a sphere? Or maybe some other shape altogether? This question is really a question for cosmologists, but the question of what the possible shapes are is very much a mathematical one—in the realm of geometric topology. Hundreds of years ago a similar question was asked about the shape of the earth, and the consensus today is that it is more or less spherical. We will discuss first the possible shapes of planets, which is a question about 2-dimensional objects, then move on to thinking about possible shapes for the universe, which is 3-dimensional. The focus will be on trying to think about what it would be like to live in different shaped universes.
The idea of an infinitely small quantity (an infinitesimal) goes back at least to Archimedes' studies of circles and their approximating polygons. Many people studying localizable questions of change have attempted to apply the idea that they could zoom all the way in to the infinitely small moment of change.
Of course, we are all familiar with the standard $\epsilon$, $N$, $\delta$ conception of limits that addresses these issues. We use limits because they answer those questions about continually improving approximations and avoid the contradictions of trying to use infinitely large or infinitely small quantities in ordinary calculations.
Efforts in the last 100 years have put a firmer foundation under the concept of an infinitesimal quantity. These efforts allow us to do some computations with these quantities without fear of contradiction. We will see some details of the different axiomatic frameworks and explore some applications.
Vasily Dolugshev Temple University
Dangerous Knowledge, BBC documentary on extraordinary mathematicians who scarified a lot trying to prove theories of infinity, existence of atoms
Calculus carnival
Undergraduate Seminar
Temple SIAM chapter and Math club officers transition
Study abroad and experience sharing session.
Leslie McClure, Professor and Chair of the Department of Epidemiology and Biostatistics, Drexel University.