Mariya Savinov |
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Undergraduate Honors Numerical Analysis (MATH-UA 258) In spring 2025, I was the teaching assistant for MATH-UA 258, taught by Professor Alan Kaptanoglu. The course covers the analysis of numerical algorithms ubiquitously used to solve problems throughout mathematics, physics, engineering, finance, and the life sciences, including topics such as matrix factorization, solving least squares problems, computing eigenvalues, interpolation, and quadrature at the undergraduate level. My worksheets for the course can be found here. Undergraduate Mathematical Modeling (MATH-UA 251) In the 2023-2024 AY, I was the teaching assistant for MATH-UA 251, taught by Professor Aaditya Rangan in the fall and then by Alex Mogilner in the spring. The course generally focuses on the formulation and analysis of mathematical models for problems in biology, physics, economics, etc., covering topics such as linearization and phase plane analysis of ODEs, numerical solutions of ODEs, conservative systems, oscillators, stochastic processes, etc. at the undergraduate level. My lecture notes can be found here. Graduate Numerical Methods II - Numerical Methods for ODEs and PDEs (MATH-GA 2020) In spring of 2023, I was the graduate course assistant and grader for Professor Aleksandar Donev's course: MATH-GA 2020: Graduate Numerical Methods II. As part of this course, I assisted in the creation of an example suite of ODE solvers with object-oriented design (in MATLAB, Python, and Fortran), which can be found here. I also taught a 2hr lecture on 2/28 on the topic of Absolute Stability and Stiffness Undergraduate Numerical Analysis In spring of 2023, I gave two 1hr15min lectures introducing numerical methods for ODEs for Dr. Samuel Potter's undergraduate course: MATH-UA 252: Numerical Analysis. My lecture notes can be found here. |