Lesson #

Date(s)

Topic

Homework Assignment

13

Oct. 11

Exploring the Primes

Read: Chapters 12, 13, and 14

Work through pages 9-13 of the Prime Number Module. On Thursday you will present solutions to Exercises 6.2, 7.2, 8.2, 8.3, and Supplemental problems 5, 6, and 7.

14

Oct. 13

Exploring the Primes

Work through Exercises 9.3, 9.4, 10.3, 10.4, 10. 5, and 10.6. You will present these on Tuesday.

Also...write up the solutions to Exercises 11.4, 11.5, 11.6, 11.7, 11.8, 11.9 (to be collected on Thursday, October 20)

Proposal/Outline for Paper Presentation Due Tues., Nov. 1.
Final Presentations Description

15

Oct. 18

16

Oct. 20

Powers Modulo m and Successive Squaring

Computing kth Roots Modulo m

Read: Chapters 16 and 17

Chapter 16 Exercises: 16.1a), 16.5 (to be collected on Tuesday, October 25)

Chapter 17 Exercises: 17.2, 17.5 (to be collected on Tuesday, October 25)

17

Oct. 25

Powers, Roots and "Unbreakable Codes"

Chapter 18 Exercises: #18.2 on page 121 (not to be collected)

18

Oct. 27

A Mathematical Scavenger Hunt!

Proposal/Outline for Paper Presentation Due Next Lesson

19

Nov. 1

Read: Chapters 15

Chapter 15 Exercises: #15.2, 15.3, 15.4, 15.7

Presentations next lesson on problems from the handout. See here for group assignments.

20

Nov. 3

21

Nov. 8

Read: Chapters 38

Work through the problems from the "Big Oh" handout out. You will need the practice to familiarize yourselves with this concept!!! Volunteers will present 3a) and 4a) next lesson.

Your Choice of Date for your Presentation is Due Next Lesson. Papers Due Sunday, Nov. 27

22

Nov. 10

Prove the theorem from the handout re: the average order of d(n),
a nd read the paper to be presented next lesson.