hw1

Math 24
Assignment 1
Due Monday 7 January 2002

Reading: Read Appendix C (pp. 510-513) and section 1.1 and 1.2 of the text. Come to class with questions and comments on Monday!

Written assignment: work problems #1, 10, 13, 18 and 22 of section 1.2 in the text. In addition, work the following problems.

$\begin{ques} In no more than a page, write a summary of why induction is a vali... ...r audience is someone with little or no mathematical sophistication. \end{ques}$

$\begin{ques} Use mathematical induction to prove that \begin{equation*} {1^{2... ...n^{2}= \sum_{i=1}^{n} i^{2} = \frac {n(n+1)(2n+1)}6. \end{equation*}\end{ques}$

$\begin{ques} Use mathematical induction to prove that if $x\ge0$\ and $n\in\mathbf{N}=\{\,1,2,3,\dots\,\}$, then $(1+x)^{n}\ge 1+nx$. \end{ques}$

About this document ...

Math 24 Winter 2002 2002-01-04