Shortcuts | Syllabus | Notes for MATH-SHU. 263
This is a series of undergraduate-graduate-level courses at NYU Shanghai and the Courant Institute of Mathematical Sciences, NYU.
Course information
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Instructor: Zhuocheng Xiao & Fanghua Lin
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Semester: Spring 2024 & Fall 2024
- Outline:
- MATH-SHU. 263: Physical Derivation of PDEs, Linear 1st-order PDEs, Wave Equations, Diffusion Equations, Reflection Methods, BVP, Fourier Representation, Laplace Equations, Green’s Representation, Distribution Transform
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MATH-GA. 2490: First-order equations, Cauchy-Kowalewsky theorem, Constant-coefficient-second-order equations(Laplace’s, Heat, and Wave equations), Explicit representation formulas and qualitative methods(e.g. the maximum principle), Nonlinear equations(e.g., Burger’s and minimal surface equations), Sobolev Spaces
- Textbook: Partial Differential Equations - An Introduction [2nd Edition] (Walter A. Strauss), Partial Differential Equations [2nd Edition] (Lawrence C. Evans)
Gradebook
Overall grade: A (4.00/4.00)