Honors Algebra II. Spring 2016

(Algebra I has been moved to www.cs.nyu.edu/cs/faculty/spencer/algebraf15/index.html)

Final Exam

Here is the final postscript LaTeX pdf

and here it is with solutions postscript LaTeX pdf

Syllabus

Click here postscript LaTeX pdf for an outline and lots of information.

Instructor

Prof. Joel Spencer
wwh 829; x83219; {lowercaselastname}@cims.nyu.edu

Office Hours: Wednesday 9:00-10:30 a.m.

Recitation

Recitation Instructor: Jin Qian, {lowercaselastname}@cims.nyu.edu

Class, Friday 2-3:15, wwh 317

Office wwh609. Office Hours: Friday 12-2 p.m.

Midterm

Here is the midterm postscript LaTeX pdf and its solutions postscript LaTeX pdf

Galois Theory Notes

Galois A postscript LaTeX pdf

Galois B postscript LaTeX pdf

Galois C postscript LaTeX pdf

Galois D postscript LaTeX pdf

Galois E postscript LaTeX pdf

Galois F postscript LaTeX pdf

Galois G postscript LaTeX pdf

Galois H postscript LaTeX pdf

Galois I postscript LaTeX pdf

Galois J postscript LaTeX pdf

Questions?

Send me an email: {lowercaselastname}@cims.nyu.edu

Assignments

Generally there will be assignments every week. They will be put online, usually on Monday, and due at recitation. (They will be posted here.) The first assignment is not to be submitted and is posted early just as an optional warmup.

Assignment 1 postscript LaTeX pdf

Assignment 2, Due Friday, Feb 5, in Recitation postscript LaTeX pdf

Assignment 3, Due Friday, Feb 12, in Recitation postscript LaTeX pdf

Assignment 4, Due Friday, Feb 19, in Recitation postscript LaTeX pdf

Assignment 5, Due Friday, Feb 26, in Recitation postscript LaTeX pdf

Assignment 6, Due Friday, Mar 4, in Recitation postscript LaTeX pdf

Assignment 7, Due Friday, Mar 11, in Recitation postscript LaTeX pdf

Assignment 8, Due Friday, Apr 1, in Recitation postscript LaTeX pdf

Assignment 9, Due Friday, Apr 8, in Recitation postscript LaTeX pdf

Assignment 10, Due Friday, Apr 15, in Recitation postscript LaTeX pdf

Assignment 11, Due Friday, Apr 22, in Recitation postscript LaTeX pdf

Assignment 12, Due Friday, Apr 29, in Recitation postscript LaTeX pdf

Assignment 13, Covered Friday, May 6, in Recitation [NOT for submission!] postscript LaTeX pdf

Solutions

Solutions will be posted here after the recitation section.

Assignment 1 postscript LaTeX pdf picture.jpg

Assignment 2 postscript LaTeX pdf picture.jpg

Assignment 3 postscript LaTeX pdf

Assignment 4 postscript LaTeX pdf

Assignment 5 postscript LaTeX pdf

Assignment 6 postscript LaTeX pdf

Assignment 7 postscript LaTeX pdf

Assignment 8 postscript LaTeX pdf

Assignment 9 postscript LaTeX pdf

Assignment 10 postscript LaTeX pdf

Assignment 11 postscript LaTeX pdf

Assignment 12 postscript LaTeX pdf

Assignment 13 postscript LaTeX pdf

Extra Stuff

Insight into solutions to $z^{12}=1$: Rock

Square root constructibility postscript LaTeX pdf

Solving the cubic postscript LaTeX pdf

Normal Extensions and Normal Subgroups postscript LaTeX pdf

The Quintic has no Solution! postscript LaTeX pdf

Linear Recurrances postscript LaTeX pdf

Cyclotomic Polynomials postscript LaTeX pdf