06-240/Homework Assignment 8

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Important. Due to popular demand the deadline for grade appeals on the Term Test is hereby extended until the tutorials on Thursday November 23. If you already appealed and your appeal was rejected because it was past the previous deadline, please appeal again.

Read sections 3.3 and 3.4 in our textbook. Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, preread all of chapter 4, just to get a feel for the future.

Solve problems 1, 2, 3, 8 and 10 on pages 179-181 and problems 1, 2abe, 2cdfghij and 5 on pages 195-196 but submit only your solutions of the underlined problems. This assignment is due at the tutorials on Thursday November 23.

Just for fun. What does the sequence 14, 18, 23, 28, 34, 42,... mean? (Hint 1: Not much). (Hint 2: A skillful web search will do). What's the next element in that sequence? Anyway, your job is to make a web page for that sequence, much like the "Lost Sequence" web page at http://www.dougshaw.com/lost/ , except you should name the resulting polynomial "The ***-Bar-Natan Polynomial". Here "***" should be your name and "Bar-Natan" must be included because how else do professors ever get credit, if not by putting their name on their student's work?

Ok, more seriously: Don't bother making the web page and don't name anything after anyone, but do convince yourself that you know how to find that polynomial.