MAT2104-01 (2021학년도 1학기)

2021-01-07 12:53:13  2021-01-11 14:58:53 
집합론 
실시간온라인(실시간온라인)  화2,3,목2(목3) 
 
김병한  이과대학 수학 
SciH246  02-2123-2585 
bkim@yonsei.ac.kr office hour by appointment
 
계산능력 및 모델화 능력 분석 능력 독립적 이해력과 창의적 문제해결력
30 40 30
Undergraduate students

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 an English course.
Lecture 3 hours/week

강의 주 3시간
(상대)
4 Home works: total 150 points
2 Exams: total 250=100+150 points
attendance+else:50 points
Karel Hrbacek and Thomas Jech, Introduction to Set Theory, 3rd Edt. Marcel Dekker 1999
과학관 246 (Sci. Hall 246)
교내 2585 (Phone: 2123-2585)
bkim@yonsei.ac.kr
http://web.yonsei.ac.kr/bkim/
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 an English course.
2021-03-02 2021-03-08
History of Set Theory, 
Chapter 1, Sets 
 
(3.2.) Spring semester classes begin
(3.5. - 3.9.) Course add and drop period 
2021-03-09 2021-03-15
Chapter 1, Sets 
 
(3.5. - 3.9.) Course add and drop period 
2021-03-16 2021-03-22
Chapter 2, Relations, Functions, 
Orderings 
 
 
2021-03-23 2021-03-29
Chapter 2,
Chapter 3 Natural Numbers 
 
 
2021-03-30 2021-04-05
Chapter 3, 
 
 
2021-04-06 2021-04-12
Chapter 9, Axiom of Choice
(Pinter Chapter 5) 
 
(4.7.) First third of the semester ends 
2021-04-13 2021-04-19
Chapter 9


Chapter 4 Finite, countable, 
uncountable sets 
 
(4.19. - 4.23.) Midterm Examinations 
2021-04-20 2021-04-26
 
 
(4.19. - 4.23.) Midterm Examinations
(4.26. - 4.28.) Course withdrawal period 
2021-04-27 2021-05-03
Chapter 4 
 
(4.26. - 4.28.) Course withdrawal period 
10  2021-05-04 2021-05-10
Chapter 5, Cardinal numbers 
 
(5.5.) Children`s Day 
11  2021-05-11 2021-05-17
Chapter 5
Chapter 6 Ordinal numbers 
 
(5.17.) Second third of the semester ends 
12  2021-05-18 2021-05-24
Chapter 6 
 
(5.19.) Buddha`s Birthday 
13  2021-05-25 2021-05-31
Chapter 7 Alephs 
 
 
14  2021-06-01 2021-06-07
Chapter 9 
Arithmetic of Cardinal numbers 
 
(6.6.) Memorial Day
(6.7. - 6.18.) Self-study and Final Examinations 
15  2021-06-08 2021-06-14
 
 
(6.7. - 6.18.) Self-study and Final Examinations 
16  2021-06-15 2021-06-18
 
 
(6.7. - 6.18.) Self-study and Final Examinations