• Semester: Fall
    Year offered: 2024

    Course Page: https://umsystem.instructure.com/courses/262040/assignments/syllabus

    Topics:

    • Line search, Wolfe and Goldstein conditions
    • Conjugate gradient methods
    • Newton's methods
    • Quasi-Newton
    • Stochastic Gradient Descent
    • Momentum
    • Implementation using optim interface in PyTorch
  • Semester: Spring
    Year offered: 2025

    Topics:

    • Distributions, Fourier transform of different classes of functions and their properties.
    • Linear operator, its convergence, and its spectra.
    • Analyze the well-posedness of differential equation in a function spaces setup.