Coursework

Coursework

In addition to standard coursework in analysis and algebra, I have taken courses in the areas of numerical analysis, number theory, partial differential equations, statistics, and operations research.

• Numerical Analysis

  • Numerical Analysis, Numerical Linear Algebra, Numerical Solutions to Ordinary Differential Equations, Numerical Solutions to Partial Differential Equations

• Number Theory

  • Elementary Number Theory, Algebraic Number Theory I, Algebraic Number Theory II, Analytic Number Theory I

• Partial Differential Equations

  • Introduction to Partial Differential Equations, Partial Differential Equations I, Partial Differential Equations II

• Statistics

  • Probability and Random Variables, Mathematical Statistics, Regression Analysis, Elements of Statistical Learning

• Operations Research

  • Advanced Linear Programming, Convex Optimization

Reports and Projects

I have produced reports and projects on the following topics.

• Diophantine Equations

• Diophantine Analysis + p-Adic Analysis

• Euler Characteristic, Genus, and Orientability

• Examination of Student Data in Math and Portuguese

• Gaussian Quadrature Formulas and Legendre Polynomials for Numerical Integration

• Hilbert Symbol

• Microwave Imaging for Brain Stroke Detection

• Prediction of Chocolate Bar Ratings

• p-adic Analysis—Numbers and Norms

• Projects in Quantitative Finance