# Final Homework

The final homework assignment is posted here:

Final Homework

It is due on Tuesday in recitation.  I can also take it on Wednesday in class, but I will not return it to you before the final if I receive it on Wednesday.

Some of the questions are based on material from Chapter 10 of The Art of Proof that we will discuss in class on Monday.

The last section of the course will cover some introductory topics in number theory, algebra and analysis.  There is some additional reading for this part of the course out of the text book “The Art of Proof” by Matthias Beck.  It is available in electronic form, with MSU login, through the msu library.  For this week please look at Chapters 1 and 2.

# Corrected mistake to induction homework

The assigned problem from Ch. 25 is exercise 25.7 (ii)  (not 25.7 (i) as originally posted).    Sorry for any confusion.  The complete induction homework assignment is

Exercises 24.10 (i), (ii), (iv), (ix) and 25.7 (ii)

due Thursday in recitation.

# Exercise 23.8 (v)

I was asked in class today about Ex. 23.8 (v) and gave some not so useful advice.  The problem asks you to prove that there is no positive integer solution to $x^2 +x +1 =y^2$.  There is a simple solution that begins with the observation that any positive solution would satisfy \$x < y\$, and so \$y \ge x+1\$ (since \$x\$ and \$y\$ are supposed to be integers).

# Induction Homework

The homework assignment for Ch. 24 and 25 is now posted:

Exercises 24.10 (i), (ii), (iv), (ix) and 25.7 (ii)

The homework may be turned in at recitation on Thursday.

Please note that there are many more problems in Chapter 24.  It is highly recommend that you work of many of these as you can.  However, only the above problems need to be turned in.