Mathematics
​Mathematics has always appealed to me for its precision, structure, and problem-solving nature. In college, I have enjoyed exploring the foundational concepts that shape mathematical thinking. I especially enjoy engaging with the rigorous definitions and proofs of high-school subjects like algebra and geometry. Through my studies, I have become comfortable with formal mathematical language, proof-writing, and have developed proficiency in LaTeX.
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Relevant Coursework:
Calculus 1, 2, and 3; Linear Algebra; Discrete Math; Geometry; History of Math; Foundations of Math; Elementary Number Theory; Advanced Calculus.
My Work in Mathematics
Take a look at some of the work I've done in Mathematics. Click on the image to open the project.
MATH 4019 - Calculus Internship
Calculus 1 Review
Developed a comprehensive Calculus I course review using LaTeX. Drew on strong content knowledge and instructional techniques to clearly explain key concepts and worked examples in a student-accessible manner.
MATH 2060 - Math Technology Lab
2D Plots Project
Developed interactive Mathematica programs to demonstrate and analyze the geometric reasoning behind integrals and derivatives for various functions.
MATH 2020 - Solving Discrete Problems
Set Theory Proof
Recorded a detailed explanation proving that if A∪B=B∪C and A∩B=B∩C, then A=B. Used precise mathematical language and widely accepted symbols to make both the content and method of proof clear and comprehensible for classmates.
MATH 4181 - Elementary Number Theory
Continued Fractions Presentation
Collaborated with Lindsey Verbaro to deliver two presentations on continued fractions and their applications, communicating ideas through clear explanation supported by LaTeX visuals and live whiteboard work.
MATH 2020 - Solving Discrete Problems
Induction Presentation
Presented to peers on Mathematical Induction, a common method of proof. Took students through the steps to be successful and then applied those steps to an example. Emphasis on slides being mathematically correct and easy to follow.
MATH 2060 - Math Technology Lab
Recursions Project
Developed variations of the Fibonacci sequence and using mathematica looked for periods Mod 13, plotted and compared growth rates, and manipulated the variations to see how coefficients or moduli affected the output.