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Introductory Material: Sturm Liouville Theory Click here
Notes on Green's Functions: 1-D and Self-adjoint Sturm-Liouville case Click here and for the Non-Self-adjoint case Click here
Notes on Green's Functions: 2-D Elliptic Equations Click here
Notes on Green's Functions: Elliptic Problems and Method of Images Click here
Notes on Green's Functions: Heat Equation and Parabolic Problems Click here
Notes on Green's Functions: Wave Equation and point-source solutions in R^N Click here
Notes on Green's Functions: Helmholtz Equation and Scattering Problems Click here
Notes on Eigenvalue Problems Click here
Notes on Variational Methods Click here
Homework 1 (Due January 24th): Assignment Click here: Solutions Click here
Homework 2 (Due February 4th): Assignment Click here: Solutions Click here
Quiz 1 (Due February 6th Midnight): Assignment Click here: Solutions Click here
Homework 3 (Due February 20th): Assignment Click here: Solutions Click here
Homework 4 (Due March ): Assignment Click here: Solutions Click here
Quiz 2 (Due Sunday March 6th): Assignment Click here: Solutions Click here
Midterm Exam 2021: March Test Click here and solutions Click here
Midterm Exam 2022: March Test Click here and solutions Click here
Homework 5 (Due March ): Assignment Click here: Solutions Click here
Homework 6 (Due April): Assignment Click here: Solutions Click here
Quiz 3 (Due Monday April): Assignment Click here: Solutions Click here
Homework 7 (Due April): Assignment Click here: Solutions Click here
Sample Midterm Exam: Test Click here and solutions Click here
Short Answer Questions: Test Click here
Sample Final Exam: Test Click here
Final Exam: April Test Click here