Time and Place : MW 2:30-3:50; Physics P113 (starting March 30, on Zoom)
Instructor : Radu Laza
Office : Math Tower 4-120
Email : radu.laza@stonybrook.edu
Office Hours: Wed 1-2:30pm
TA: Lisa Marquand
Prerequisite: For graduate students in the mathematics Ph.D. program, there is no prerequisite. All other students should consult with the instructor regarding prerequisites.
Textbook:
Week | Topic | Sections Covered | HW Assigments |
(1) Jan 27, 29 | Vector Spaces, Matrices, Tensor algebras | [DF] Ch. 11, [L] XIII \S1-5 | |
(2) Feb 3, 5 | Characteristic Polynomial, Normal Forms | [DF] Ch. 12 | |
(3) Feb 10, 12 | Bilinear forms (symmetric/alternating/Hermitian) | [Lang] Ch. XV | HW1 (due Feb 19) |
(4) Feb 17, 19 | Bilinear forms (2) [Spectral Theory] | [Lang] Ch. XV (esp. \S7) | HW2 (due Feb 26) |
(5) Feb 24, 26 |
Review - Feb 24 Midterm: Wednesday, February 26 (in class) |
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(6) Mar 2, 4 | Field Theory (1) | [DF] Ch. 13 | HW3 (due Mar 13) |
(7) Mar 9, 11 | Field Theory (2) | [DF] Ch. 13 | |
March 16--29 | Spring Break (no classes) | ||
(9) Mar 30, Apr 1 | Galois Theory (1) | [DF] Ch. 14 | HW4 (due Mar 13) |
(10) Apr 6, 8 | Galois Theory (2) | [DF] Ch. 14 | |
(11) Apr 13, 15 | Galois Theory (3) |
[DF] Ch. 14 | HW5 (due Apr 29) |
(12) Apr 20, 22 | TBD | ||
(13) Apr 27, 29 | TBD | HW6 (due May 8) | |
(14) May 4, 6 |
Review Final Exam (May 6, details TBD) |