# Math 110

## Page Contents

To see the course information and syllabus for Math 111,
click here.
This course was Math 110, Studies In Mathematics.
- Davis, The Nature and Power of Mathematics
- Ore, Number Theory and Its History

Grading is on a straight scale (uncurved), with 90%,80%,70%,60%
guaranteeing A-,B-,C-,D respectively. I can and frequently do
give higher grades than the numbers dictate, but I will never go lower
than these guidelines. The grading is weighted as follows:
Homework | 20% |

Quizzes | 15% |

Midterm 1 | 15% |

Midterm 2 | 15% |

Final Exam | 35% |

- Week 1 (3/25-3/29)
- History of number systems : Ore, Chp. 1-2
- Babylonian : Ore, Chp. 1-2
- Different bases, conversions : Ore, Chp. 1-2, Davis 232-236

- Week 2 (4/1-4/5)
- Binary : Ore, Chp. 1-2, Davis 232-236
- Nim : Handout, WWW
- Congruences : Ore Chp. 9, Davis 3.3

- Week 3 (4/8-4/12)
- Congruences : Ore Chp. 9, Davis 3.3
- Congruences / C.R.W.U.
- Commutative Rings With Unit

- Week 4 (4/15-4/19)
- Commutative Rings With Unit
- Geometric Numbers
- MIDTERM 1

- Week 5(4/22-4/26)
- Primes, Fundamental Thm of Arithmetic : Ore Chp. 4, Davis 3.1
- Prime Numbers : Ore Chp. 4, Davis 3.1
- Prime Numbers : Ore Chp. 4, Davis 3.1

- Week 6(4/29-5/3)
- Mersenne, Fermat and Perfect numbers : Ore 4.7, 5.2, Davis 3.1
- Divisors, G.C.D. : Ore 5.1, Davis 3.2
- Greatest common divisors, Euclidean Algorithm : Ore Chp. 3, Davis 3.2, WWW

- Week 7(5/6-5/10)
- Euclidean Algorithm, Division Lemma : Ore Chp. 3, 4.1, Davis 3.2
- Sqrt(2) is irrational, Proof of Prime Factor Theorem : Ore Chp. 3, 4.1, Davis 3.2
- MIDTERM 1

- Week 8(5/13-5/17)
- Zero Divisors
- The Little Fermat Theorem : Ore 12.1, 12.2, Davis 3.4
- Primality Testing : Davis 3.4

- Week 9(5/20-5/24)
- Cryptography : Davis Chp. 4
- Public Key : Davis Chp. 4, WWW
- Public Key : Davis Chp. 4, WWW

- Week 10(5/27-5/31)
- MEMORIAL DAY
- Fibonacci Numbers
- Art & The Golden Mean

- FINAL EXAM: Tuesday, June 4, 4-6pm

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