Instructor: Alice Medvedev

Office: 6278 NAC

Office Hours: Monday 4-5(this course), 11-12(calculus), or by appointment.

E-mail: amedvedev at ccny

I also encourage you to use LaTeX to typeset your homework solutions. Latex is used to typeset anything with formulas by almost all scientists and some engineers, so it is worth learning whether or not you intend to become a mathematician. It is fairly easy to learn by example, and less easy to learn from books and tutorials, so I will post the source-code (.tex files) for my homeworks for you to use. If you do not want to install anything on your computer, there are many online-compiling options.

- Problem Set 0, due at 2pm on Monday, September 9th. ps0.tex
- Problem Set 1, due at 2pm on Wednesday, September 18th. ps1.tex
- Problem Set 2, due at 2pm on Wednesday, September 25th. ps2.tex
- Problem Set 3, due at 2pm on Wednesday, October 2nd. ps3.tex
- Problem Set 4, due at 2pm on Wednesday, October 9th. ps4.tex
- Problem Set 5, due at 2pm on Wednesday, October 16th. ps5.tex
- Problem Set 6, due at 2pm on Wednesday, October 23rd. ps6.tex
- No homework due Wednesday, October 30th, the day of the second midterm.
- Problem Set 7, due at 2pm on Wednesday, November 20th. ps7.tex
- Problem Set 8, due at 2pm on Wednesday, December 11th. ps8.tex

The sum of all the homework grades and the sum of the three exam grades will have equal weight in determining your course grade. The raw homework and exam grades are not percentages to be converted into letter-grades as in high-school! If you are not sure how you are doing in the course, talk to me.

Abstract algebra is an official prerequisite for two reasons. There will be many algebraic examples in this course. More importantly, you are expected to be able to write clear, precise proofs.

I do not provide lecture notes or homework solutions - but I am happy to answer your questions during office hours. Should some of you wish to supply such notes or solutions for your fellow students, I will be happy to make space for them on the blackboard website, or even scan them and post them myself.

I am not sure yet to what extent I intend to use blackboard.

I will follow the book's notation quite closely. I will often present material in a different order from the book, in an effort to present semantics ("meaning") before syntax ("grammar").

- Proofs are made of complete, grammatically correct sentences.
- All variables that appear in the proof either appear in the statement being proved, or are clearly introduced somewhere in the proof with a "let".
- Each statement either clearly, logically follows from previous statements (and that logic is explained), or is introduced with an explicit purpose (e.g. "suppose towards contradiction that..." or "the inductive hypothesis is...")
- Anything that is not proved is cited, by its common name (e.g. the Fundamental Theorem of Arithmetic) or by reference to our textbook (e.g. Proposition 4 on p. 10)

It is reasonable to expect emails to be answered within a day or two; it is unreasonable to expect an answer within an hour. The truly urgent questions (where's the final exam - i'm already late?) are better answered by google or a phone call to the relevant university office. Some questions that feel urgent (did I pass the class?) simply require patience.

Email is great for logistics: finding a time to talk outside regular office hours, making special arrangements for missed work, telling me about a problem with the web page or a homework, etc. Email does not work well for discussing mathematics - come to my office hours instead.

If you a professor (or, really anyone else!) agrees to meet with you personally, outside of lecture and standard office hours, and then you find out that you will not make it to the meeting, you should inform the professor of this at least several hours in advance. I have had enough problems with this issue that I will take 1 percentage point off your grade for each missed appointment.