Notes

Math 6710: Applied Linear Operator and Spectral Methods

This course was taught by Fernando Guevara Vasquez in Fall 2015. The textbook is E. Kreyszig "Introductory Functional Analysis with Application".
  • Hahn-Banach theorem
  • Solution to Chapter 1 (Metric Spaces)
  • Solution to Chapter 2 (Normed Spaces & Banach Spaces)

  • Math 6410: Ordinary Differential Equations

    This course was taught by Paul Bressloff in Fall 2015. The main textbook is C. Chicone "Ordinary Differential Equations with Applications".
  • Notes (incomplete)

  • Math 6610: Analysis of Numerical Method I

    This course was taught by Yekaterina Epshteyn in Fall 2016. The main textbook is L. N. Trefethen "Numerical Linear Algebra”.
  • Notes (Chapter 3 and 4 are incomplete)

  • Math 6620: Analysis of Numerical Method II

    This course was taught by Yekaterina Epshteyn in Spring 2017. The main textbook is K. Atkinson “An Introduction to Numerical Analysis”.
  • Notes

  • Math 6730: Asymptotic and Perturbation Methods.

    This course was taught by Paul Bressloff in Fall 2017. The textbook is M. H. Holmes "Introduction to Perturbation Methods". The note was written together with Hyunjoong Kim.
  • Notes

  • Math 6880: Fluid Dynamics

    This course was taught by Aaron Fogelson and Christel Hohenegger in Fall 2017 and Spring 2018. The course’s webpage for the first half can be found here.
  • Notes (in progress)

  • Miscellaneous

    Some other useful notes:
  • Asymptotic Expansions.



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