1. During the quiz you may use your textbook, my notes, and your own notes. 2. No calculators or other electronic devices are permitted. 3. Please make sure your cell phones are quiet during class and off during quizzes. The quiz will cover Part 1 of the Elliptic notes and the first 4 pages of Part 2 of the Elliptic notes. Be able to: -- Apply the Maximum Principle and the Minimum Principle to draw conclusions about the behavior of the solution to an elliptic PDE. -- Use Theorem 3.2. -- Define uniqueness and stability of the solution of an elliptic PDE -- Determine the solution to an elliptic PDE given its Green's function. -- Derive the weak form of the problem from the strong for various boundary conditions. -- Determine the regularity of a solution to an elliptic PDE. -- Solve Unquiz 1 and 2 in Part 2 of the Elliptic notes. -- Form a finite difference approximation to an elliptic problem on a rectangular or L-shaped domain. (In other words, extend Quiz 1 to a rectangular or L-shaped domain.) -- Determine the sparsity pattern of the matrix in Unquiz 2 in Part 2 and understand how the matrix entries are formed. (Example: what is the domain of integration for the matrix entry A(6,7)?) -- Form a finite element approximation to an elliptic problem on a polygonal domain. (In other words, extend Quiz 2 to a polygonal domain.) -- Determine whether a given triangulation is admissible.