# Author: Caleb Nastasi

I graduated from San Francisco State in the Spring of 2020, with honors. There, I specialized in mathematics, while also taking several physics courses. In each semester, I would help other students solve problems and even grade problems for other courses. In the Winter Semester of 2020, I will begin the Master of Mathematics program at the University of Bonn in Germany. I am very interested in pure mathematics, and its applications to theoretical physics. In particular, I would like to investigate the differential topology of banach manifolds and symplectic geometry. After my masters degree, I plan on obtaining my PhD diploma, with the ultimate goal of being a researcher full-time.
My passion for mathematics began in high school - I discovered some olympiad style problems, and was fascinated by the simplicity of some solutions, and the sophistication of others. In my third year of college, I studied abroad in Moscow where I was reinspired to investigate math and physics and eventually obtain a PhD. When I studied abroad, I had the opportunity to assist an advanced group of high school students prepare for the Moscow math olympiad. As a teacher, I learned even more from these problems than I did as a student; I am excited to watch my students develop a confidence and fluency in mathematics.

## Solving Functional Equations for Math Competitions

Simple problems like these are a great way for you and your math tutor to test your understanding of elementary algebra.