JHR's MA378 page

MA378
Number Theory

MTRF 5, G220
John Rickert, Associate Professor of Mathematics
Office: G-215A, Crapo Hall
Phone: (812) 877-8473
CM: 141
e-mail: john.rickert@rose-hulman.edu
Schedule

To Homework ...Questions ...random notes ...grade weights
Homework for our next class ...Today's questions ...Today's notes ... sequences

The main goal in this class is to have you (the student) perform as an active learner. To do this you will need to do the exercises, raise questions about structures that you are studying, create hypotheses and test these hypotheses.

The textbook for this class is An Introduction to the Theory of Numbers, 5th Ed., by Niven, Zuckerman and Montgomery.

Information about the paper.

Homework

To Homework for our next class ...the top
For Tuesday, March 6: Sec. 1.2 #5,11,31. Turn in these exercises on Monday, March 12.
For Thursday, March 8: Sec. 1.2 #1,3,23. Turn in these exercises on Monday, March 12.
For Friday, March 9: Sec. 1.3 #1,3,4,9,11. Turn in these exercises on Thursday, March 15.
For Monday, March 12: Sec 1.3 #5,8,16,26,30. Turn in these exercises on Thursday, March 15.
Turn in the Section 1.2 exercises.
For Tuesday, March 13: Sec. 1.3 #32,33,48; Sec. 1.4 #1,3,7. Turn in these exercises on Thursday, March 15.
For Thursday, March 15: Sec. 2.1 #1,5,9,13. Turn in these exercises on Thursday, March 22.
Turn in the section 1.3-1.4 exercises.
For Friday, March 16: Sec. 2.1 #6,11,14,19,20, Turn in these exercises on Thursday, March 22.
conjecture regarding 2ⁿ modulo n.
For Monday, March 19: Sec. 2.1 #6,11,14,19,20, Turn in these exercises on Thursday, March 22.
conjecture regarding 2ⁿ modulo n.

For Tuesday, March 20: Sec. 2.1 #23,27,28*,30*,44,45 Turn in these exercises on Thursday, March 22.
in 28 and 30, replace the exponent 400 with 4*10⁴⁰⁰.
For Thursday, March 22: Sec. 2.2 #4,5,14.
Turn in the Section 2.1 exercises.
For Friday, March 23: The Automorphic numbers worksheet. Turn in these exerxcises on Thursday, March 29.

For Monday, March 26: Sec. 2.3 #9,14,37.
For Tuesday, March 27: Sec. 2.4 #4,14,15.
For Thursday March 29: The RSA encryption homework
Turn in the Automorphic numbers worksheet problems.
For Friday, March 30: Turn in the RSA encryption homework
For Monday, April 2: Section 2.6 #1,2.
Thursday, April 5: Exam #1.
Friday, April 6: Section 2.7 #2,4,6.
Monday, April 16: Section 2.8 #6,10,19,23.
Tuesday, April 17: Section 2.8 #6,10,19,23. Consider primitve roots modulo $p^2,p^3,p^4,\ldots$.
Thursday, April 19: Turn in 2.6.9, 2.7.6, 2.8.23.
Work on Section 2.8 #26.
If p and q are primes, does pq have a primitive root? What must be true of p and q for a primitive root to exist?
Friday, April 20: Sec. 2.9 #1.

Monday, April 23: Sec. 2.9 $4. Peruse #5,#8.
Tuesday, April 24: Sec. 2.10 #1,4,7.
Thursday, April 26: Sec. 2.11 #1,6,15,22.

Monday, April 30: Exam #2.

Thursday, May 3: Turn in the Exam sheet.
Sec. 3.1 #4,7,16. Sec. 3.2 #6,87,10,15,17.
Friday, May 4: Sec. 3.1 #4,7,16. Sec. 3.2 #6,87,10,15,17. Turn in these exercises on Monday.

Monday, May 7: Sec. 4.2 #1,5,8,16,20.
Tuesday, May 8: Sec. 4.3 #2,5,8,25.
Thursday, May 10: Sec. 4.4 #1,5,6,7,25.

Friday, May 11: Exam #3.

Sequences

Monday, March 5: 1,1,1,1,1,1,1,1,1,1,...
1,4,9,16,25,36,49,64,81,100,...
1,3,6,10,15,21,28,36,45,55,...
Tuesday, March 6: 1,1,2,3,5,8,13,21,34,55,89,...
Thursday, March 8: 2,3,5,7,11,13,17,19,23,29,...
Friday, March 9: 1,1,2,5,8,13,21,34,55,91,149,...
Monday, March 12: 1,2,5,12,29,70,169,408,987,...
Tuesday, March 13: 1,1,2,2,4,2,6,4,6,4,...
Thursday, March 15: 1,1,2,1,2,2,3,1,2,2,...
Friday, March 16: 1,1,1,1,1,1,6,1,1,1,2,1,6,6,1,...

Monday, March 19: 1,2,2,1,2,1,1,2,2,1,...[think simpler!]
Tuesday, March 20: 3,5,11,13,19,29,37,53,59,61,...
Thursday, March 21: 12,18,20,24,30,36,40,42,8,54,...
Friday, March 22: 0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,6,...

Monday, March 26: 3,5,17,257,65537,4294067297,...
Tuesday, March 27: 2,3,5,7,13,17,19,31,61,89,...
Thursday, March 29: 1,2,2,3,2,4,2,4,2,4,...
Friday, March 30: 1,11,21,1211,111221,312211,13112221,...
Tuesday, April 17: 1,3,4,6,8,9,11,12,14,16, ...
Thursday, April 19: 2,5,7,10,13,15,18,20,23,26,...
Thursday, May 3: 0,495,6174,549945,631764,...
To the top

Questions from class

To today's questions ...the top

To the top

Random notes

There will be 3 in-class exams each worth 15%.
There will be a paper worth 10%.
The final exam will be worth 30%.
Quizzes and Homework will be worth 15%.
There may be two types of quizzes -- announced and unannounced.

Go to