An MCSP Conversation Series Talk: "One Solution, Two Solution, Red Solution, Blue Solution: Exploring Multiplicity and Qualitative Behavior of Solutions in Mathematics" by Dr. Quinn Morris

An MCSP Conversation Series Talk: "One Solution, Two Solution, Red Solution, Blue Solution: Exploring Multiplicity and Qualitative Behavior of Solutions in Mathematics" by Dr. Quinn Morris

Contact: Dr. Maggie Rahmoeller, rahmoeller@roanoke.edu

Most equations of any type are too difficult to solve explicitly, despite the fact that we spend an inordinate amount of time finding solutions to carefully constructed equations in introductory mathematics courses. In this talk, we'll explore the idea of counting solutions (and possibly learning something about their behavior) even without solving them explicitly. In particular, we'll talk about a kind of equation that is near and dear to my heart, explore the possibilities for the number of solutions it could have, and finally, discuss why counting the number of solutions is very important in many applied problems.