Assignments



In most cases the homework will not be assigned until you get the chapter summaries. I assigned a few problems from Chapter 1 for the second meeting (when the Chapter summary will be distributed) so we can discuss them at the second class.



Assignment for Sept 9

  1. prelab for chapter 2
  2. Read chapter 5 pages 47-70 of In Code by Sarah Flannery
  3. write up lab report on Chapter 1.
  4. REMINDER: I announced in class that this would be due at the earliest Sept. 16. But you should have been looking at it.

4. HW problems 2, 3, 6, 8 page 91 of Discovering Number Theory

5. reading assignment: Discovering Number Theory 6-17



Assignment for Sept 16

  1. prelab for chapter 3
  2. write up lab report on Chapter 1.
  3. Read chapter 6 pages 71-113 of In Code by Sarah Flannery

Assignment for Sept 23

  1. prelab for chapter 4
  2. write up lab report on Chapter 2.

3. HW problems: 10, 11, 28-32 inclusive of page 91 of Discovering Number Theory.

(Could 29 be adapted to an Algebra II/Precalc course? )(You probably will use 32 to prove 31.)

Assignment for Sept 30

  1. Finish Lab for Chapter 4 and prepare to work on proving research conjectures with other students
  2. write up lab report on Chapter 3.
  3. HW problems: 1, 3, 7, 13,16 on page 143/144 of Discovering Number Theory.

Assignment for Oct. 7

  1. Finish Lab for Chapter 5 and prepare to work on proving research conjectures with other students
  2. write up lab report on Chapter 4.
  3. Chapter 3 HW problems: 7, 10, 11, 12 on page 187 of Discovering Number Theory.

Assignment for Oct. 14

  1. Lab 6 prepare to work on proving research conjectures with other students
  2. write up lab report on Chapter 5.
  3. Chapter 4 HW problems: 11, 14 on page 245 of Discovering Number Theory.

Assignment for Oct. 21

  1. Lab 7 do prelab and lab: prepare to work on proving research conjectures with other students
  2. write up lab report on Chapter 6. Many of the conjectures will not be provable in this section.
  3. Chapter 5 HW problems: 25 on page 313 of Discovering Number Theory.

Assignment for Oct. 28

  1. Lab 8 do prelab and lab: prepare to work on proving research conjectures with other students
  2. write up lab report on Chapter 7.
  3. Chapter 6 HW problems: 8,9 on page 343 of Discovering Number Theory.

Assignment for Nov. 4

  1. Lab 9 do prelab and lab: prepare to work on proving research conjectures with other students
  2. write up lab report on Chapter 8.
  3. Chapter 7 HW problem: 23 on page 380 of Discovering Number Theory.
  4. Advance warning: On Nov 18, we will discuss public key cryptography and RSA. Read, by then, Chapters 8,9 and Appendix A of In Code. You may also find Appendix D a helpful reference for Chapter of Discovering Number Theory.

Assignment for Nov. 11

  1. Lab 10 do prelab and lab: prepare to work on proving research conjectures with other students
  2. write up lab report on Chapter 9. The proof of RQ3 is essentially problem 5 of Chapter 9; if you want to do it now, you can. If you can carry out the proof without doing the examples in Chapter 9 1 and 2, that is ok.
  3. Chapter 7 HW problem: 18.19 on page 380; Chapter 8 HW problems: 3,5 on page 421 of Discovering Number Theory.
  4. Advance warning: On Nov 18, we will discuss public key cryptography and RSA. Read, by then, Chapters 8,9 and Appendix A of In Code. You may also find Appendix D a helpful reference for Chapter of Discovering Number Theory.

Assignment for Nov. 18

  1. write up lab report on Chapter 10.
  2. Chapter 9 HW problems: problems 1-5 page 463 of Discovering Number Theory. Not necessary if you already proved conjecture 3 of Lab 9.
  3. Read, Chapters 8,9 and Appendix A of In Code. You may also find Appendix D a helpful reference for Chapter of Discovering Number Theory.

Assignment for Nov. 25

  1. Lab 10 do prelab and lab: prepare to work on proving research conjectures with other students
  2. Prepare an outline of the course - maybe 3-5 pages. Consider the aim of the course to be understanding RSA. Show the interrelation of such topics as Diophantine equations, Euclidean algorithm, linear congruences, Fermat's last theorem and the Chinese Remainder Theorem. Distinguish but do not expound topics that do not really fall into the main line. Feel free to e-mail me for further explanation. The point is for you to review and put together the topics of the course.