This lively (and at times emotional) presentation will feature a history of the solution of algebraic equations and conclude with a discussion of the life and times of composer Hector Berlioz and mathematician Evariste Galois in post-Napoleonic France.
Thursday, February 16, 4:00 - 4:50pm
Newton 204
Linda Bjork, Munich Reinsurance America
A day in the life of an actuary
A day in the life of an actuaryActuaries analyze risk, forecasting an organization’s potential for loss (or profit), playing a key role in helping organizations plan the future. We use mathematical models to assist in solving complex problems. Today, I will provide a brief overview of my background and current role. Then I will review three “areas” of mathematics that are used during a typical actuary's career. I will provide an example of how loss distributions (the third area) are used to model potential insurance claims. We will explore how these models can be used to determine the potential for losses of different sizes.
Monday, February 20, 3:30-4:20pm
Newton 203
Ryan Pietropaulo, North Carolina School of Science and Mathematics
A Vector Approach to Linear Regression
Linear Regression is a commonly used tool in modeling problems but is rarely understood by its users. A vector calculus approach of this topic will be explored to give a geometric interpretation of the ideas behind the regression line, the correlation coefficient, and what is meant by the term “least squares”. An extension to quadratic, cubic, and planar regression will also be developed using basic linear algebra.