Evaluation | Homework | Quiz | Project |
Points | 65 | 10 | 25 |
The grader will expect you to express your ideas clearly, legibly, and completely, often requiring complete English sentences rather than merely just a long string of equations or unconnected mathematical expressions. This means you could lose points for poorly written proofs or answers. Clear exposition is a crucial ingredient of communication. Clarity of thought and presentation is more important in mathematics & sciences than any other field. The only way to master exposition is by repeated practicing.
There will be a short surprize (3-5 minutes) quiz once in a while and will account for \(10\%\) of your total grade.
This could be a work arising out a published article or from material/discussions in class. The project is due April 30th. More details will be provided by the middle of February.
Week | Monday/Tuesday | Homework |
Jan 16: Lecture 1 | Floating point arithmetic, Numerical Linear Algebra, Finite Difference, Interpolation | Homework 1: Jan 29 |
Feb 4: Lecture 2 | Spectral Methods: Chapter 1, 2, 3 of Trefethen | Homework 2: Feb 12 |
Feb 12: Lecture 3 | Spectral Methods: Chapter 4, 5, 6 of Trefethen | Homework 3: Feb 19 |
Feb 19: Lecture 4 | Spectral Methods: Chapter 7, 8, 9, 10 of Trefethen | Homework 4: Feb 26 |
Feb 26: Lecture 5 | Quadrature; Euler Maclaurin | Homework 5: Mar 5 |
Mar 13: Lecture 6 | Finite Element Methods: Chapter 1 of Pozrikidis | Homework 6: Mar 19 |
Mar 26: Lecture 7 | Finite Element Methods: Chapter 2 of Pozrikidis | Homework 7: Apr 2; RK4 |
Apr 2 & 3: Lecture 8 & 9 | Iterative methods for solving linear systems | Homework 8: Apr 9 |
Apr 9 & 10: Lecture 10 & 11 | Boundary Integral Method Representation of solution using Green's function | Homework 9: Apr 16 |
Apr 16 & 17: Lecture 12 & 13 | Fast solvers for Boundary Integral Method Gerenalized Rybicki Press Low Rank Direct solver | Homework 10: Apr 25 |
Apr 23: Lecture 14 | Finite Volume Method | Homework 11: Apr 30 Project: Apr 30 |