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Theory of Numbers
Information on Math 356:B6 taught by Sasa Radomirovic is kept here.
Schedule & Office Hours
The course ran from June 2nd to July 8th 2004.
Classes met in Beck 121 (on Livingston Campus) Mondays, Wednesdays and Thursdays 6:15-9pm.
Office hours were held 1 hour before class in the classroom.
Syllabus
The text book is Elementary Number Theory and its
applications by Kenneth H. Rosen.
A printable copy of the syllabus (in pdf format) is here.
| Day |
Topics |
Suggested Problems |
Homework
|
| Wed 6/2 |
Numbers, Mathematical Induction, Divisibility |
Problem Set 1 |
Homework 1
|
| Thu 6/3 |
Prime Numbers, Greatest Common Divisor |
Problem Set 2 |
Homework 2
|
| Mon 6/7 |
Euclidean Algorithm, Fundamental Theorem of Arithmetic |
Problem Set 3 |
Homework 3
|
| Wed 6/9 |
Quiz I, Congruences |
Problem Set 4 |
Homework 4
|
| Thu 6/10 |
Chinese Remainder Theorem, Hensel's Lemma |
Problem Set 5 |
Homework 5
|
| Mon 6/14 |
Pythagorean Triples, Fermat's Last Theorem |
Problem Set 6 |
Homework 6
|
| Wed 6/16 |
Factoring, Review |
|
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| Thu 6/17 |
| 80min.
Midterm |
Elliptic Curves |
|
Problem Set 7 |
Homework 7
|
| Mon 6/21 |
Wilson's, Fermat's, and Euler's Thms, Primality Testing |
Problem Set 8 |
Homework 8
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| Wed 6/23 |
Multiplicative Functions, Perfect Numbers, Mersenne Primes |
Problem Set 9 |
Homework 9
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| Thu 6/24 |
Primitive Roots |
Problem Set 10 |
Homework 10
|
| Mon 6/28 |
Quiz II, Public Key Cryptography |
Problem Set 11 |
Homework 11
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| Wed 6/30 |
Quadratic Residues |
Problem Set 12 |
Homework 12
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| Thu 7/1 |
Continued Fractions |
Problem Set 13 |
Homework 13
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| Mon 7/5 |
No class! -- University
is closed -- |
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| Wed 7/7 |
More Cryptography, Review |
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| Thu 7/8 |
Final |
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Course structure and Grades
Every class one homework problem will be assigned due next class.
There will be 2 Quizzes, each 30 minutes long, and 1 midterm, 80 minutes long.
The Final will be 3 hours long. All exams will be cumulative.
The final grade will consist of the following parts:
10% Homework
20% Quizzes
30% Midterm Exam
40% Final Exam
No grades will be dropped. Instead, extra credit problems
can be solved. Extra credit will be applied towards homework and quizzes (in that order).
Feedback
Click here to send me comments, suggestions, complaints, or interesting links to further information about a topic we have discussed in class.
When leaving feedback about the class, you might want to answer one or more of the following 3 questions:
1) What things is the instructor not doing that he should be doing?
2) What things that the instructor is doing should he stop doing?
3) What things that the instructor is doing should he keep doing?
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