Set Theory (집합과수리논리)
Class InfoClass Number: MATH 292-002Dates: Sep 03 2018 - Dec 21 2018 Room: NS 218 Meeting time:
Office Hours Text: 'Set Theory: An Intuitive Approach' by Y. Lin and S. Lin |
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Syllabus
Set theory, the study of sets of objects with no other property but membership, is the first step in mathematical abstraction. In the course, we see the basics of this theory; we get an introduction to proofs and get a taste for the complexity of infinity. The following is a rough schedule of the topics we will cover| Week | Sections | Topics |
| 1 | Chapter 1 | Elementary logic |
| 2 | 2.1 - 2.4 | Operations of sets |
| 3 | 2.5 - 2.8 | Venn diagrams and Russels Paradox |
| 4 | 3.1 - 3.4 | Relations and functions |
| 5 | 3.5 - 3.7 | Operations on functions |
| 6 | ||
| 7 | - | Test 1 |
| 8 | 4.1 -4.4 | Types of infinity |
| 9 | 5.1 - 5.4 | Cardinal Numbers and Cantor's Theorem |
| 10 | 5.5 - 5.8 | The Continuum Hypothesis |
| 11 | 6.1 - 6.2 | Hausdorfr Maximality |
| 12 | 6.3 - 6.4 | Zorn's Lemma |
| 13 | 6.5 - 6.6 | Transfinite Induction |
| 14 | Buffer and Review | |
| 15 | - | Test 2 |
Homework
We will have 3-4 problems sets, problems will mostly be chosen from suggested homework problems.Tests
There will be two tests. The first one will be on ??, and the final will be on ??. We will decide the date of the exams at least 2 weeks before the exam.Grading
| Homework: | 20% |
| Test 1: | 40% |
| Test 2: | 40% |