MAT2104-01 (2020학년도 1학기)

2020-01-08 13:35:32  2020-02-22 02:46:10 
집합론 
과227(과227)  월3,4,수4(수3) 
 
김병한  이과대학 수학 
Sci. Hall 246   
 
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
(절대)
4 Home works: total 150 points
2 Exams: total 250=100+150 points
Quiz+attendance: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.
2020-03-16 2020-03-22
History of Set Theory, 
Chapter 1, Sets 
 
(3.16.) 개강
(3.19. - 3.23.) 수강신청 확인 및 변경
* 비대면·온라인 강의 Online/Non-face-to-face classes 
2020-03-23 2020-03-29
Chapter 1, Sets 
 
(3.19. - 3.23.) 수강신청 확인 및 변경
* 비대면·온라인 강의 Online/Non-face-to-face classes 
2020-03-30 2020-04-05
Chapter 2, Relations, Functions, 
Orderings 
 
* 비대면·온라인 강의 Online/Non-face-to-face classes 
2020-04-06 2020-04-12
Chapter 2,
Chapter 3 Natural Numbers 
 
* 비대면·온라인 강의 Online/Non-face-to-face classes 
2020-04-13 2020-04-19
Chapter 3, 
 
(4.14. - 4.17.) Course withdrawal period
(4.15.) Tentative holiday 
2020-04-20 2020-04-26
Chapter 9, Axiom of Choice
(Pinter Chapter 5) 
 
(4.21.) One third of the semester ends 
2020-04-27 2020-05-03
Chapter 9


Chapter 4 Finite, countable, 
uncountable sets 
 
(4.30.) Buddha`s Birthday 
2020-05-04 2020-05-10
 
 
(5.5.) Children`s Day
(5.6. - 5.12.) Midterm Examinations 
2020-05-11 2020-05-17
Chapter 4 
 
(5.6. - 5.12.) Midterm Examinations 
10  2020-05-18 2020-05-24
Chapter 5, Cardinal numbers 
 
 
11  2020-05-25 2020-05-31
Chapter 5
Chapter 6 Ordinal numbers 
 
(5.29.) Second third of the semester ends 
12  2020-06-01 2020-06-07
Chapter 6 
 
(6.6.) Memorial Day 
13  2020-06-08 2020-06-14
Chapter 7 Alephs 
 
 
14  2020-06-15 2020-06-21
Chapter 9 
Arithmetic of Cardinal numbers 
 
 
15  2020-06-22 2020-06-27
 
 
(6.22. - 6.27.) Final Examinations
* 2020-1학기는 15주에 종강합니다.
Spring 2020 is a 15-week semester. 
16  2020-06-22 2020-06-27
 
 
(6.22. - 6.27.) Final Examinations
* 2020-1학기는 15주에 종강합니다.
Spring 2020 is a 15-week semester.