MAT2104-01 (2021학년도 1학기)

2021-01-07 12:53:13  2021-01-11 14:58:53 
비대면-집합론  3 
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.
		
		



	
	    	
	
		

			


					
					
				
									
				
									
				

	    	

		    	
	    	
		

	    			1 
		    		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 		
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			2 
		    		2021-03-09
				
		    		2021-03-15

						
		    		
Chapter 1, Sets 

		    		
 

		    		(3.5. - 3.9.) Course add and drop period 
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			3 
		    		2021-03-16
				
		    		2021-03-22

						
		    		
Chapter 2, Relations, Functions, 
Orderings 

		    		
 

		    		 
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			4 
		    		2021-03-23
				
		    		2021-03-29

						
		    		
Chapter 2,
Chapter 3 Natural Numbers 

		    		
 

		    		 
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			5 
		    		2021-03-30
				
		    		2021-04-05

						
		    		
Chapter 3, 

		    		
 

		    		(4.5. - 4.7.) Course withdrawal period 
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			6 
		    		2021-04-06
				
		    		2021-04-12

						
		    		
Chapter 9, Axiom of Choice
(Pinter Chapter 5) 

		    		
 

		    		(4.5. - 4.7.) Course withdrawal period
(4.7.) First third of the semester ends 		
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			7 
		    		2021-04-13
				
		    		2021-04-19

						
		    		
Chapter 9


Chapter 4 Finite, countable, 
uncountable sets 

		    		
 

		    		(4.19. - 4.23.) Midterm Examinations 
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			8 
		    		2021-04-20
				
		    		2021-04-26

						
		    		
 

		    		
 

		    		(4.19. - 4.23.) Midterm Examinations 
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			9 
		    		2021-04-27
				
		    		2021-05-03

						
		    		
Chapter 4 

		    		
 

		    		 
                    
		    		
		    				    		
		    				    		

 		
								
		    	
	    	
		

	    			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