CAAM 336· Differential Equations in Science and Engineering
Spring 2008 · Rice University
In class on Friday (the 22nd of February) I posed a number of questions, saying that knowing the answers to all of these questions is a good start to your review. Those questions were:
- What is a vector space?
- What is an inner product?
- What is a linear operator?
- What is its nullspace?
- What is its range?
- What does it mean to be symmetric?
- What are its eigenvalues and eigenvectors?
- What is the projection theorem?
- What is the spectral theorem?
- How do you deal with inhomogeneous boundary conditions?
- What is the weak formulation?
- What is the Galerkin method?
- What is the finite element method?
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