Notes

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1. [Partial Differential Equations] Notes following L. C. Evans' Partial Differential Equations. Particular emphasis on Sobolev space theory and linear PDE. Last Updated: June 2023.
2. [Calculus of Variations] Notes following L. C. Evans' Partial Differential Equations, Chapter 8. Last Updated: April 2023.
3. [Measure Theory] Notes following L. C. Evans and R. F. Gariepy's Measure Theory and Fine Properties of Functions, Chapters 2, 3, 5. Last Updated: June 2023.
4. [Applied Mathematics] Notes following W. Cheney's Analysis for Applied Mathematics, Chapters 1-3, 5, topics from 4 and 7. Last Updated: August 2022.
5. [Numerical Analysis] Notes following J. Stoer and R. Bulirsch's Introduction to Numerical Analysis, 3rd ed., Chapters 2-4. Last Updated: January 2022.

Teaching Notes

1. [Change of Coordinates] Notes on cylindrical and spherical coordinates. Last Updated: October 2022.