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Professor Gordana G. Todorov |
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| MATH 3527 · Number Theory · Course Schedule |
| Fall 2009 |
 Class Materials
Class and Quiz Schedule
(Tentative - there might be some changes announced in the class)
!!! It is your responsibility to be aware of any changes in the syllabus announced in class!!!
!!! Students are responsible for all information given when they are absent!!!
| W, Sept 9 | Ch.1 - What is Number Theory |
| Th, Sept 10 | Ch.2 - Pythagorean Triples |
| M, Sept 14 | Ch.3 - Pythagorean Triples and the Unit Circle |
| W, Sept 16 | Ch.4 - Sums of Higher Powers and Fermat's Last Theorem |
| Th, Sept 17 | Quiz 1 Ch.5 - Divisibility and the Greatest Common Divisor |
| M, Sept 21 | Ch.6 - Linear Equations and the Greatest Common Divisor |
| W, Sept 23 | Ch.7 - Factorization and the Fundamental Theorem of Arithmetic |
| Th, Sept 24 | Quiz 2 Ch.7 - Factorization and the Fundamental Theorem of Arithmetic |
| M, Sept 28 | Ch.8 - Congruences |
| W, Sept 30 | Ch.9 - Congruences, Powers, and Fermat's Little Theorem |
| Th, Oct 1 | Quiz 3 Ch.10 - Congruences, Powers, and Euler's Formula |
| M, Oct 5 | Ch.11 - Euler's Phi Function and the Chinese Remainder Theorem |
| W, Oct 7 | Ch.12 - Prime Numbers |
| Th, Oct 8 | Quiz 4 |
| M, Oct 12 | ...................... Columbus Day ....................... No NU classes ................. |
| W, Oct 14 | Ch.13 - Counting primes |
| Th, Oct 15 | Ch.14 - Mersenne Primes |
| M, Oct 19 | Ch.15 - Mersenne Primes and Perfect Numbers |
| W, Oct 21 | Ch.16 - Powers Modulo m and Successive Squaring |
| Th, Oct 22 | Quiz 5 Ch.16 - Powers Modulo m and Successive Squaring |
| M, Oct 26 | Ch.17 - Computing k-th Roots Modulo m |
| W, Oct 28 | Ch.18 - Powers, Roots, and "Unbreakable Codes" |
| Th, Oct 29 | Quiz 6 Ch.18 - Powers, Roots, and "Unbreakable Codes" |
| M, Nov 2 | Ch.19 - Primality Testing and Carmichael Numbers |
| W, Nov 4 | Ch.20 - Euler's Phi Function and Sums of Divisors |
| Th, Nov 5 | Quiz 7 Ch.20 - Euler's Phi Function and Sums of Divisors |
| M, Nov 9 | Ch.21 - Powers Modulo p and Primitive Roots |
| W, Nov 11 | ........................... Veteran's Day ................... No NU classes ................. |
| Th, Nov 12 | Ch.22 - Primitive Roots and Indices |
| M, Nov 16 | Ch.23 - Squares Modulo p |
| W, Nov 18 | Ch.24 - Is (-1) a square modulo p? |
| Th, Nov 19 | Quiz 8 Ch.24 - Is 2 a square modulo p? |
| M, Nov 23 | Ch. 25 - Quadratic Reciprocity |
| W, Nov 25 | ... |
| Th, Nov 26 | .......................... Thanksgiving Day .................... No NU classes ................. |
| M, Nov 30 | Ch. 25 - Quadratic Reciprocity |
| W, Dec 2 | Ch.26 - Which Primes are Sums of Two Squares? |
| Th, Dec 3 | Quiz 9 Ch.27 - Which Numbers are Sums of Two Squares? |
| M, Dec 7 | Quiz 10, Review |
| W, Dec 9 | Review |
| Th, Dec 10 | .................................... Reading Day ................. No NU classes |
| <<<----------->>> MATH3527 NUMBER THEORY <<<------------->>> FINAL EXAM <<<------------>>>
8:00 am - 10:00 am F Behrakis Health Sciences Cntr 220 Friday, Dec 18, 2009 |
Course Information
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Started: September 9, 2009 |
| Last modified: December 7, 2009 |
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