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.
|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 19: Lecture 7||Finite Element Methods: Chapter 2 of Pozrikidis||Homework 7: Mar 26|
|Mar 26: Lecture 8||Finite Element Methods: Chapter 3 of Pozrikidis||Homework 8: Apr 2|
|Apr 2: Lecture 9||Finite Element Methods: Chapter 4 of Pozrikidis||Homework 9: Apr 9|
|Apr 9: Lecture 10||Finite Element Methods: Chapter 5 of Pozrikidis||Homework 10: Apr 16|
|Apr 16: Lecture 11||Finite Element Methods: Chapter 6 of Pozrikidis||Homework 11: Apr 23|
|Apr 23: Lecture 12||Finite Element Methods: Chapter 7 of Pozrikidis||Homework 12: Apr 30|
|Apr 24: Lecture 13||Finite Element Methods: Chapter 8 of Pozrikidis||Project: Apr 30|