2006年度上智大学シラバス
2006/06/07更新
◆科学技術英語Ⅳａ　－　(後)
NEMENZO Fidel Ronquillo,RUIZ Mari-Jo P.
○講義概要
In this course some elementary but interesting topics of mathematics are taught in English, and students are requested to respond in English.
This course is divided into two parts. The first part consisting with seven lectures is taught by Professor Nemenzo, and elementary number theory around prime numbers are lectured including recent application of number theory to cryptography. The second half is taught by Professor Ruiz, who will discuss applications of graph theory and networks.
○評価方法
出席状況(25%)、リアクションペーパー(25%)、レポート(25%)、後期学期末試験(定期試験期間中)(25%)
未定（後日公表する）
○参考書
J. Derbyshire, Prime Obsession, John Henry Press, 2003
J. Silverman, A Friendly Introduction to Number Theory, Pearson Prentice Hall, 2006
J. Clark and D.A. Holton, A First Look at Graph Theory, World Scientific, 1991
○他学部・他学科生の受講
否
○授業計画
1What are prime numbers?
2How many primes are there?
3Distribution of primes
4The Riemann Hypothesis
5Large primes and some unsolved problems
6Breaking up is hard to do
7Primes and the real world
8a) Introduction to the terminology and notation of graphs and networks
b) The Minimum Interconnection Problem
9The Shortest Route Problem
10Dynamic Programming (1)
11Dynamic Programming (2)
12The Traveling Salesman Problem (1)
13The Traveling Salesman Problem (2)
　　
Copyright (C) 2006 Sophia University
By：上智大学 学事センター