# 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.

#### Homework

To Homework for our next class
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For *Tuesday, March 8*:
Section 1.2 #2,11,13,50,53.

For *Thursday, March 10*:
Turn in the Section 1.2 exercises.
Work exercises Section 1.3 #9,26,27,32.

For *Friday, March 11*:
Work exercises Section 1.3 #48;
Section 1.4 #1,2,3,7,8.

For *Monday, March 14*:
Work exercises Section 2.1 #1,5,9,13. Turn in these exercises on Tuesday.

For *Tuesday, March 15. *:
Turn in Exercises Section 2.1 #1,5,9,13.

Work exercises Section 2.1 #6,11,14,19,20.

For *Thursday, March 17*:
Work exercises Section 2.1 #23,27,28*,30*,44,45.
In #28 and #30 replace the exponenet 400 with the exponent 4*10^{400}.

For *Friday, March 18*:
Work on the automorphic numbers worksheet.

For *Monday, March 21*:
Turn in the automorphic numbers problems. Be sure to include the name of everyone in the group working on that set.
Section 2.2 #4,5,14.

For *Tuesday, March 22*:
Section 2.3 #9,14,34,37,45. Turn in these exercises on Thursday.

For *Thursday, March 24*:
Turn in the Section 2.3 exercises. Work Section 2.4 #4.

For *Friday, March 25*:
Work Section 2.4 #14,15,16.

For *Monday, March 28*:
Work the RSA encryption exercises. They are to be turned in by Monday, April 11.

For *Tuesday, March 29*:
Work exercises Section 2.6 #3,6,9.

For *Thursday, March 31*:
Work exercises Section 2.7 #2,4,6,12.

For *Friday, April 1*:
Work exercises Section 2.8 #6,10,19,23.

For *Monday, April 11*:
Turn in the RSA encrypton homework.
For *Tuesday, April 12*:
Work exercises Section 2.9 #1,4.

For *Thursday, April 14*:
Work exercises Section 2.10 #1,4,7.

For *Friday, April 15*:
Section 2.11 #1,6,15,16,22.

For *Tuesday, April 19*:
Section 3.1 #4.

For *Thursday, April 21*:
Section 3.1 #7,16; Section 3.2 #1.

For *Tuesday, April 26*:
Section 3.4 #1,4.

For *Friday, April 29*:
Section 3.5 #1,2,5.

For *Friday, May 6*:
Section 4.2 #1,5,8,16,20; Sec 4.3 #1,3.
Turn in these exercises on Tuesday.

For *Tuesday, May 10*: Turn in the Chapter 4 exercises.

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#### Sequences

1,1,1,1,1,1,1,1,1,1,...

1,4,9,16,25,36,49,64,81,100,...

1,3,6,10,15,12,28,36,45,55...

1,1,2,3,5,8,13,21,34,55,89...

#### Questions from class

To today's questions
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#### Random notes

There are 3 in-class exams each worth 15%.

There is a paper worth 10%.

The final exam is worth 30%.

Quizzes and Homework is worth 15%.

There may be two types of quizzes -- announced and unannounced.

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