Ken Bube, Anne Greenbaum, and
Randy LeVeque
| First Year: |
| 554 |
555 |
556 |
(Linear Analysis) |
| 534 |
535 |
536 |
(Complex Analysis) |
| AMath 584 |
AMath 585 |
AMath 586 |
(Applied Linear Algebra and Introductory
Numerical Methods) |
| Second Year: |
| 524 |
525 |
526 |
(Real Analysis) |
| 544 |
|
|
(Manifolds) |
| |
AMath 568 |
|
(Analysis in Engineering and Science) |
| |
|
AMath 569 |
(Partial Differential Equations) |
| 594 |
595 |
596 |
(Special Topics in Numerical Analysis) |
Third Year:
(Possibilities) |
| 557 |
558 |
559 |
(Introduction to Partial Differential
Equations) |
| 527 |
528 |
529 |
(Functional Analysis) |
Of the core courses, linear analysis
is the one we think should definitely be taken. Which other core courses are
taken and which year depend on the interests of the students and the direction
they plan to go in. Above we recommend taking Complex the first year and then
starting both Real Variable and Manifolds the second year, and continuing with
at least one of them through the year. Many variations are possible.
Some students might want to take
optimization earlier, or take less PDE's, depending on interests. Functional
analysis is recommended for students interested in theoretical aspects of numerical
analysis. Other students might want to take courses in particular applications
such as fluid mechanics.
