Office: Armstrong Hall 408H

Office Hours: MW 1:30pm-2:30pm, Tues, 11am-noon, and by appointment

Class Meetings: MW 3:30pm-4:45pm in Armstrong Hall 203

No. | Date | Class Summary | Section(s) | Quiz | Quiz Soln | Comments |

1 | Aug 19 | Introduction; Induction; Basis representation | 1.1,1.2 | - | - | - |

2 | Aug 21 | Basis representation; Divison lemma; Greatest common divisors | 1.2,2.1 | - | - | HW1 assigned. |

3 | Aug 26 | Euclid's algorithm; Linear combinations | 2.2 | - | - | - |

4 | Aug 28 | Linear Diophantine equations; Fundamental theorem of arithmetic; Combinatorics | 2.3,2.4,3.1 | - | - | - |

5 | Sep 4 | Combinatorics; Fermat's Little Theorem | 3.1,3.2 | - | - | HW2 assigned. |

6 | Sep 9 | Wilson's Theorem; Congruences | 3.3,4.1 | - | - | - |

7 | Sep 11 | Residue Systems; Riffling | 4.2,4.3 | - | - | - |

8 | Sep 16 | Linear Congruences; Fermat and Wilson II; Chinese Remainder Theorem | 5.1-5.3 | - | - | HW3 assigned. |

9 | Sep 18 | Polynomial Recurrences; Euler's Phi Function | 5.4,6.1 | - | - | - |

10 | Sep 23 | Arithmetic Functions; Mobius Inversion | 6.2,6.3,6.4 | - | - | - |

11 | Sep 25 | Mobious Inversion; Primitive Roots | 6.4,7.1 | - | - | HW3 due. |

12 | Sep 30 | Primitive Roots | 7.1,7.2 | - | - | Midterm assigned. |

13 | Oct 2 | Prime Numbers | 7.2,8.1 | - | - | Midterm due. |

14 | Oct 7 | Prime Numbers: Chebyshev's Theorem | 8.1,8.2 | - | - | - |

15 | Oct 9 | Prime Numbers: Bertrand's Postulate | - | - | - | - |

16 | Oct 16 | Quadratic Reciprocity: Euler's Criterion and Gauss's Lemma | 9.1,9.2 | - | - | HW4 assigned. |

17 | Oct 21 | Quadratic Reciprocity: Legendre Symbols (-1/p) and (2/p) | 9.3 | - | - | - |

18 | Oct 23 | Quadratic Reciprocity Law: Proof | 9.3 | - | - | - |

19 | Oct 28 | Quadratic Reciprocity Law: Applications | 9.4 | - | - | HW4 due. |

20 | Oct 30 | Quadratic Reciprocity Law: Proof | 9.3 | - | - | - |

21 | Nov 4 | Distribution of Quadratic Residues | 10.1,10.2 | - | - | HW5 assigned. |

22 | Nov 6 | Distribution of consecutive QR triples; Sums of squares | 10.2,11.1 | - | - | - |

23 | Nov 11 | Sums of squares | 11.1,11.2 | - | - | - |

24 | Nov 13 | Partitions | 12 | - | - | HW5 due. |

25 | Nov 18 | Partitions II | 12 | - | - | - |

26 | Nov 20 | Generating Functions | 13.1 | - | - | HW6 assigned. |

27 | Dec 2 | Partition Generating Functions; Jacobi's Triple Product Identity | 13.2 | - | - | - |

28 | Dec 4 | JTPI Proof; Euler's Pentagonal Number Theorem | 13.2,14.2 | - | - | - |

29 | Dec 18 | Final Exam | - | - | - | - |

milans@math.wvu.edu