Dror Bar-Natan: Classes: 2003-04: Math 157 - Analysis I:

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Next: Class Notes for Tuesday October 14, 2003 Previous: Class Notes for Thursday October 9, 2003

Homework Assignment 6

Assigned Tuesday October 14; not to be submitted

This document in PDF: HW.pdf

Required reading. All of Spivak Chapter 6.

Recommended for extra practice. From Spivak Chapter 6: 1, 3, 4, 10, 12, 13, 14, 16 parts (a) through (c).

Just for fun. Can you cover an $8\times 8$ chessboard with $21$ rectangles of size $3\times 1$ and one little square of size $1\times 1$? Can you stuff $125$ boxes of size $4\times 2\times 1$ inside a cube of size $10\times 10 \times 10$?

On Term Exam 1. It will take place, as scheduled, during the tutorials on Monday October 20th. You will have an hour and 50 minutes to solve around 5 questions, with no choice questions. The material is everything covered in class until Tuesday October 14th (though not including Thursday October 16th), including everything in the relevant chapters (1-5) of Spivak's book (though not including the appendices to these chapters). Calculators will be allowed but will not be useful beyond emotional support; no devices that can display text will be allowed. Good luck!

Preparing for Term Exam 1.

• Re-read your notes and make sure that you understand everything.
• Re-read Spivak's chapters 1-5 and make sure that you understand everything (excluding appendices).
• Make sure that you can solve every homework problem assigned or recommended.
• Take a good look at last year's sample term exam 1, at last year's term exam 1 and its solution and at the 2001 term exam 1. All of these are available from last year's Math 157 web site, http://www.math.toronto.edu/~drorbn/classes/0203/157AnalysisI/.
• It is much more fun to work in a group!

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