Honors Algebra II. MATH-UA.0349-001 Spring 2019

Final Exam

The Final Exam will be held SATURDAY, MAY 11, 10a.m.-11:50

in wwh 317, our regular classroom.

All further information about the exam will be posted here.

Final Exam Review (optional) Office Hrs: Friday, May 10, 6-7:30 p.m.

Here is an old final postscript LaTeX pdf and its solutions postscript LaTeX pdf

The final exam will be in three parts.

Short: Do 3 of 4, 10 points each

Medium: Do 5 of 6, 15 points each

Tough: Do 2 of 3, 30 points each

The exam will cover the entire term.

The will be question(s) asking for proofs of results shown in class. (The (s) is that there may or may not be more than one!)

You can use the Tower Theorem and the Galois Correspondence Theorem (GCT) without proof, but you must state precisely how you are using it.

There will be question(s) involving Finite Fields

There will be NO questions involving Magic Squares

There will be question(s) which relates to the proof of the unsolvability of the quintic.

There will be question(s) involving extensions of dimension two or three in the complex numbers

There will be question(s) very similar to the midterm

Syllabus

Click here postscript LaTeX pdf for lots of information.

Instructor

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

Calling is not encouraged. Emailing is. Especially for those "stupid" questions (which frequently are anything but) to clarify something. Replies are often very quick -- but no promises!

Office Hours: Tuesday 2:30-4 (or send me an email and we'll set something up!)

When and Where

Monday and Wednesday, 11:00-12:15. Place ciww 317

Recitation

Instructor Kevin Yin, Friday 2:00-3:15, ciww 317

Kevin Yin's office hours W 1-2, F 5-6, ciww 1110

Starting Mar 24 office hours Th 3:30-4:30, F 5-6

Questions?

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

Assignments

There will be an assignment each week, due in the recitation section. Normally the assignments will be posted on Monday.

Assignment 1. postscript LaTeX pdf

Assignment 2, due Friday, February 8 postscript LaTeX pdf

Assignment 3, due Friday, February 15 postscript LaTeX pdf

Assignment 4, due Friday, February 22 postscript LaTeX pdf

Assignment 5, due Friday, March 1 postscript LaTeX pdf

Assignment 6, due Friday, March 8 postscript LaTeX pdf

Assignment 7, due Friday, March 15 postscript LaTeX pdf

Assignment 8, due Friday, April 5 postscript LaTeX pdf

Assignment 9, due Friday, April 12 postscript LaTeX pdf

Assignment 10, due Friday, April 19 postscript LaTeX pdf

Assignment 11, due Friday, April 26 (NOTE: Correct finals time put in Monday) postscript LaTeX pdf

Assignment 12, due Friday, May 3 (NOTE: This is the final assignment!) (typo prob2 corrected wed) postscript LaTeX pdf

Solutions

Solutions to assignments will be posted here.

Assignment 1, postscript LaTeX pdf graph

Assignment 2 postscript LaTeX pdf

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

Galois Notes

Special notes for Galois Theory will be posted here. (see also Extra Stuff below)

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 K postscript LaTeX pdf

Midterm

March 27, In class.

Here is the midterm postscript LaTeX pdf

and its solutions postscript LaTeX pdf and here is a pineapple heptagon

Spencer Award

The Spencer Award is given to a student whose enthusiasm and energy make NYU such an exciting place to be. This year's winner is Rohit Pai. Congratulations Rohit!

Extra Stuff

Extra material will be posted here.

A fun piece on pi: pdf

A Latin Square from the game Azul: latinsquare

Magic Squares pdf tex ps

Ruler-Compass conditions via Galois Theory pdf tex ps

Cardano for Cubic pdf tex ps

Quartic pdf tex ps

Unsolvability of Quintic pdf tex ps

Linear Recursions/ Fibonacce pdf tex ps