Math 361:01 (Set Theory) - Fall 2007

Prof. Weibel

meets MW 4th period (1:40-3 PM) in BECK 201 (Livingston campus)

Homework Assignments

General Information

This course is an introduction to set theory, intended for Math majors. It will cover:

Textbook: Herbert B. Enderton, Elements of Set Theory, Academic Press.

Tentative Syllabus

WeekLecture datesChapter topics
1 9/5 (W) 1, 2Basic Axioms
2 9/10, 9/122, 3Algebra of Sets
3 9/17, 9/193Functions and Relations
4 9/24, 9/263, 4 Infinite Products, Natural Numbers
5 10/1, 10/34, 5 Arithmetic, Construction of Z
6 10/8, 10/105 Construction of Q, R and C
7 10/15, 10/171-5Review and Midterm
8 10/22, 10/246 Finite & countable sets; Decimal expansions and R
9 10/29, 10/316 Cardinal arithmetic; Ordering cardinals
1011/5, 11/76 Zorn's Lemma and the Axiom of Choice
1111/12, 11/147-8 Well-ordered sets, Ordinals
1211/19 (M)7-8Cardinal Arithmetic
1311/26, 11/286-8 Review, Continuum Hypothesis and Midterm
1412/3, 12/56-7 Transfinite induction, Well-Ordering Axiom
1512/10, 12/128Partial orders, Alephs and Order types
1612/21 (F)1-8 Final Exam in BECK 201 (8-11 AM)

Math 361 course page

Charles Weibel / weibel@math.rutgers.edu / October 22, 2007