MAT2104-01 (2015학년도 1학기)

2014-12-22 17:14:04  2015-02-24 13:47:56 
집합론 
과B101(과B101)  화3,4,목4(목3) 
 
김병한  이과대학 수학 
과 246  2123-2585 
bkim@yonsei.ac.kr (목 6,7 교시 or by appointment)
 
학부 2학년 이상
집합연산의 기본 개념을 공부하고 무한집합의 크기를 다루는 기수(Cardinal number),
서수(Ordinal number)와 그들의 연산에 대해 배운다. 
이과목은 수학전반의 기초가 되며, 특히 수리논리학과 공리론적 집힙론을 이해하는 
배경이 된다.

Welcome to the wonderland of set theory. Set theory is a beautiful and magical 
subject stemmed from transparent and easy observations  leading us to a 
surprising and somewhat unbelievable  logical world on which contemporary 
mathematics is based. Its controversial and contrasting history attracts our 
attentions as well.  In this beginning course, I will focus on elementary part 
of set theory such as set operations, orderings, cardinal and ordinal 
arithmetics which, as primitive notions, are absolutely necessary  in learning 
almost every subject of mathematics. At the same time I will introduce more 
mysterious and advanced part of the subject, though whose  full clarifications 
can possibly be covered in senior or graduate level courses.     
No prerequisite is required. This is a Korean course.
강의 주 3시간, 연습 1시간
숙제 4번:150점
시험 3번: 총 250=75+75+100점
Quiz+출석:50점
Text: Introduction to set theory by Karel Hrbacek and Thomas Jech
3rd Edition, Publisher:Marcel Dekker

Auxiliary: Set Theory by Charles Pinter, KyungMoon

Course note at YSCEC
과학관 246
교내 2585
bkim@yonsei.ac.kr
http://web.yonsei.ac.kr/bkim/
이정욱  ljw@yonsei.ac.kr
Welcome to the wonderland of set theory. Set theory is a beautiful and magical 
subject stemmed from transparent and easy observations  leading us to a 
surprising and somewhat unbelievable  logical world on which contemporary 
mathematics is based. Its controversial and contrasting history attracts our 
attentions as well.  In this beginning course, I will focus on elementary part 
of set theory such as set operations, orderings, cardinal and ordinal 
arithmetics which, as primitive notions, are absolutely necessary  in learning 
almost every subject of mathematics. At the same time I will introduce more 
mysterious and advanced part of the subject, though whose  full clarifications 
can possibly be covered in senior or graduate level courses.     
No prerequisite is required. This is a Korean course.
2015-03-02 2015-03-08
History of Set Theory, 
Chapter 1, Sets 
 
(3.2) 개강
(3.4 ~ 3.6) 수강신청 확인 및 변경 
2015-03-09 2015-03-15
Chapter 1, Sets 
 
 
2015-03-16 2015-03-22
Chapter 2, Relations, Functions, 
Orderings 
 
 
2015-03-23 2015-03-29
Chapter 2,
Chapter 3 Natural Numbers 
 
 
2015-03-30 2015-04-05
Chapter 3, 
 
(4.1~4.3) 수강철회 
2015-04-06 2015-04-12
Chapter 9, Axiom of Choice
(Pinter Chapter 5) 
 
(4.8) 학기 1/3선 
2015-04-13 2015-04-19
Chapter 9


Chapter 4 Finite, countable, 
uncountable sets 
1차 시험 (예정) 
(4.16 ~ 4.22) 중간시험 
2015-04-20 2015-04-26
 
 
(4.16 ~ 4.22) 중간시험 
2015-04-27 2015-05-03
Chapter 4 
 
 
10  2015-05-04 2015-05-10
Chapter 5, Cardinal numbers 
 
(5.5) 어린이날 (5.9) 창립기념일 
11  2015-05-11 2015-05-17
Chapter 5
Chapter 6 Ordinal numbers 
 
(5.15) 학기 2/3 선 
12  2015-05-18 2015-05-24
Chapter 6 
2차 시험(예정) 
 
13  2015-05-25 2015-05-31
Chapter 7 Alephs 
 
(5.25) 석가탄신일 
14  2015-06-01 2015-06-07
Chapter 9 
Arithmetic of Cardinal numbers 
 
(6.6) 현충일 
15  2015-06-08 2015-06-14
 
 
(6.8 ~ 6.20) 자율학습 및 기말시험 
16  2015-06-15 2015-06-21
 
학기말 (예정) 
(6.8 ~ 6.20) 자율학습 및 기말시험