Math 25
Elementary Number Theory

Last updated August 02, 2011 13:48:42 EDT

Announcements:
• The final exam is comprehensive, though with a distinct emphasis on the material since the second exam, and takes place on Monday, Dec 7, 3 - 6pm in 007 Kemeny
• Topics covered since the second miderm include
• 6.6 + class notes on index calculus (discrete logs)
• 7.1 - 7.5: Quadratic residues and reciprocity; applications
• 2.3: Fermat and Mersenne numbers
• 8.1 - 8.6: Multiplicative functions, perfect numbers (including abundanct and deficient numbers), Mobious inversion and Dirichlet product
• 10.1 - 10.5: Sums of squares

### Homework Assigments

Week of November 23 - End of Term, 2009
 Monday (11/23): Study: 10.1, 10.3, 10.4 Do: Monday (11/30): Study: 10.2 Do: Wednesday: Study: 10.5 Do:

Week of November 16 - 20, 2009
 Monday: Study: 7.4 Do: Wednesday: Study: 8.2 - 8.6, class notes Do: Oh my gosh! No written homework! Friday: Study: 8.2 - 8.6 Do:

Week of November 9 - 13, 2009
(Due Wednesday, November 18)
 Monday: Study: 7.1, 7.2 Do: Wednesday: Study: 7.3 Do: Homework 8       (LaTeX source) Friday: Study: 7.4 Do:

Week of November 2 - 6, 2009
(Due Friday, November 13)
 Monday: Study: 6.1, 6.2 Do: Wednesday: Study: 6.3 - 6.5 Do: Homework 7       (LaTeX source) Friday: Study: 6.6 Do:

Week of October 26 - 30, 2009
(Due Wednesday, November 4)
 Monday: Study: 5.2, 8.1 Do: Wednesday: Study: 5.3, classnotes Do: Homework 6       (LaTeX source) Friday: Study: class notes Do:

Week of October 19 - 23, 2009
(Due Wednesday, October 28)
 Monday: Study: 4.2, classnotes Do: Wednesday: Study: classnotes Do: Homework 5       (LaTeX source) Friday: Study: 5.1 Do:

Week of October 12 - 16, 2009
(Due Friday, October 23)
 Monday: Study: 3.1, 3.4 Do: Wednesday: Study: 4.1 Do: Homework 4       (LaTeX source) Friday: Study: 4.2 5.2 (Euler's theorem) Do:

Week of October 5 - 9, 2009
(Due Wednesday, October 14)
 Monday: Study: 2.3, 3.1 Do: Wednesday: Study: 3.2 Do: Homework 3       (LaTeX source) Friday: Study: 3.3 Do:

Week of September 28 - October 2, 2009
(Due Wednesday, October 7)
 Monday: Study: 1.3, 1.4, 2.1 Do: Wednesday: Study: 2.1, 2.2 Do: Homework 2       (LaTeX source) Friday: Study: 2.2, 2.3 Do:

Week of September 21 - 25, 2009
(Due Wednesday, September 30)
 Monday: Study: No class Do: Enjoy those fleeting moments of freedom, "unencumbered by the thought process*" (*Tom and Ray) Wednesday: Study: 1.1 Do: Homework 1 Friday: Study: 1.2, 1.3 Do:

T. R. Shemanske
Last updated August 02, 2011 13:48:42 EDT