## October 6, 2012 – Dr. Branislav Kisačanin – “First Encounter with Calculus”

October 1, 2012 by Metroplex Math Circle

Last year one of our most popular sets of lectures were on Calculus. Take this opportunity to hear, Dr. Branislav Kisačanin, introduce even our younger students to this beautiful topic. Here is a description of the talk in his own words:

In this session we will look at calculus and try to dispel the mystery that often surrounds it. We will begin by looking at examples of limiting processes, and show for example that as x approaches 0, the value of approaches 1. Based on several other examples of limits, we will be able to determine line equations for tangents of various curves. This will bring us to the doorstep of the first derivative.

We will look at other interpretations of the first derivative and also look at how it is applied to maximization and minimization, Newton’s method of tangents for solving equations, etc. In the second hour we will look at another major part of calculus, integration, and will show how integration is used to compute areas and volumes. We will also look at the methods used by Archimedes to compute the volumes of solid spheres, which are remarkably similar to modern integration. Of course, there is much more to calculus than we can learn in one day, but this will be a good start!

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on October 2, 2012 at 10:51 am |AnonymousCan you please provide me the venue details?

on October 2, 2012 at 8:02 pm |Metroplex Math CircleWe meet in the ECSS building (Engineering and Computer Sciences South) on the campus of the University of Texas at Dallas. Our room sometimes changes but we are generally in 2.410, 2.412 or the TI auditorium. People will be at the front door of the building until at least 2:30 to direct you to the correct room.