Splash Biography
MATTHEW KULEC, Macaulay student majoring in applied math
Major: Applied Math College/Employer: Macaulay Year of Graduation: 2021 

Brief Biographical Sketch:
I studied at NEST+m and am currently a Macaulay student at CCNY. I have participated and represented my high school in numerous math competitions. On certain occasions, my club advisor would allow me to teach the class on particular aspects of math, including generating functions, partial fractions, and series manipulations. I also have experience tutoring ranging from algebra to calculus. I am proficient in calculus AB & BC, scoring 5's on all exams. Recently, I have worked with New York Academy of Sciences and TATA Consultancy Services to provide middle school students information on STEM careers (focusing mainly on IT) and assisted in creating apps designed for health and wellbeing. I am currently majoring in applied math, with career aspirations revolving around machine learning and data science. I hope to complete a PhD whether in computer science or mathematics. Past Classes(Clicking a class title will bring you to the course's section of the corresponding course catalog)M47: Methods of Solving Monster Integrals in Splash 2018 (Mar. 10, 2018)
Course is based on Paul J. Nahin's book "Inside Interesting Integrals."
Most integral challenge problems are indefinite forms, but here we will introduce some unforgettable definite integrals with beautiful solutions. To get a taste of what this course has to offer, we will prove:
$$\int_1^\infty \frac{\{x\}\frac{1}{2}}{x}dx = 1 + ln(\sqrt{2\pi})$$
where $$\{x\}$$ denotes the fractional part of $$x$$ (for example $$\{5.679\} = 0.679$$ and $$\{7\} = 0$$).
And because I can't put it any better, the author states: "a collection of sneaky tricks, sly substitutions, and numerous other stupendously clever, awesomely wicked, and devilishly seductive maneuvers."
The course will follow a lecture format, so please bring any writing utensils and several sheets of paper, preferably a notebook. Although the course is somewhat difficult, I will explain thoroughly and answer questions that you may have. No nonintuitive jumps! You do not have to buy the book!
We will not cover everything this book has to offer, only a good chunk. Random applications in physics and engineering will be discussed, so this isn't just limited to math as the course category indicates. Anyone with a penchant for solving challenging integrals and is eager to learn how to solve MORE is certainly invited.
