نظرة عامة على البرنامج

Introduction to Set Theory

The course is titled Introduction to Set Theory and is taught by Instructor Justin Miller.

Syllabus

The syllabus for the course is as follows:

• Date: 3/25
  • Lecture Topic: Introduction
  • Lecture Notes: Download Introduction
  • Assignments Due:
• Date: 3/27
  • Lecture Topic: Axioms and Formalism
  • Lecture Notes: Download Axioms and Formalism
  • Assignments Due:
• Date: 3/29
  • Lecture Topic: First Axioms
  • Lecture Notes: Download First Axioms
  • Assignments Due: Homework 0 Download Homework 0
• Date: 4/01
  • Lecture Topic: Algebra of Sets
  • Lecture Notes: Download Algebra of Sets
  • Assignments Due:
• Date: 4/03
  • Lecture Topic: Ordered Pairs and Relations
  • Lecture Notes: Download Ordered Pairs and Relations
  • Assignments Due:
• Date: 4/05
  • Lecture Topic: Functions
  • Lecture Notes: Download Functions
  • Assignments Due: Homework 1 Download Homework 1 Solutions Download Solutions
• Date: 4/08
  • Lecture Topic: No Class (Eclipse)
  • Lecture Notes:
  • Assignments Due:
• Date: 4/09
  • Lecture Topic: Equivalence Relations
  • Lecture Notes: Download Equivalence Relations
  • Assignments Due:
• Date: 4/10
  • Lecture Topic: Ordering Relations
  • Lecture Notes: Download Ordering Relations
  • Assignments Due:
• Date: 4/12
  • Lecture Topic: Numbers
  • Lecture Notes: Download Numbers
  • Assignments Due: Homework 2 Download Homework 2 Solutions Download Solutions
• Date: 4/15
  • Lecture Topic: Recursion
  • Lecture Notes: Download Recursion
  • Assignments Due:
• Date: 4/16
  • Lecture Topic: Arithmetic
  • Lecture Notes: Download Arithmetic
  • Assignments Due:
• Date: 4/17
  • Lecture Topic: Ordering the Natural Numbers
  • Lecture Notes: Download Ordering the Natural Numbers
  • Assignments Due:
• Date: 4/19
  • Lecture Topic: No Class
  • Lecture Notes:
  • Assignments Due: Homework 3 Download Homework 3 Solutions Download Solutions
• Date: 4/22
  • Lecture Topic: No Class
  • Lecture Notes:
  • Assignments Due:
• Date: 4/23
  • Lecture Topic: Integers and Rationals
  • Lecture Notes: Download Integers and Rationals
  • Assignments Due:
• Date: 4/24+4/26
  • Lecture Topic: Real Numbers
  • Lecture Notes: Download Real Numbers
  • Assignments Due: Homework 4 Download Homework 4 Solutions Download Solutions
• Date: 4/29
  • Lecture Topic: Sizes of Sets
  • Lecture Notes: Download Sizes of Sets
  • Assignments Due:
• Date: 4/30
  • Lecture Topic: Midterm Quiz
  • Lecture Notes:
  • Assignments Due: Midterm Quiz Solutions Download Solutions
• Date: 5/01
  • Lecture Topic: Cardinal Arithmetic
  • Lecture Notes: Download Cardinal Arithmetic
  • Assignments Due:
• Date: 5/03
  • Lecture Topic: Ordering Cardinal Numbers
  • Lecture Notes: Download Ordering Cardinal Numbers
  • Assignments Due:
• Date: 5/06
  • Lecture Topic: Axiom of Choice
  • Lecture Notes: Download Axiom of Choice
  • Assignments Due: Take-Home Midterm Download Take-Home Midterm
• Date: 5/08
  • Lecture Topic: Infinite Cardinals
  • Lecture Notes: Download Infinite Cardinals
  • Assignments Due:
• Date: 5/10
  • Lecture Topic: More Infinite Cardinals
  • Lecture Notes:
  • Assignments Due: Project Proposal Download Project Proposal
• Date: 5/12
  • Lecture Topic:
  • Lecture Notes:
  • Assignments Due: Homework 5 Download Homework 5
• Date: 5/13
  • Lecture Topic: Well Orderings Replacement Axioms
  • Lecture Notes: Download Well Orderings Download Replacement Axioms
  • Assignments Due:
• Date: 5/15
  • Lecture Topic: Epsilon Images and Isomorphisms
  • Lecture Notes: Download Epsilon Images and Isomorphisms
  • Assignments Due:
• Date: 5/17
  • Lecture Topic: Ordinal Numbers
  • Lecture Notes: Download Ordinal Numbers
  • Assignments Due: Homework 6 Download Homework 6
• Date: 5/20
  • Lecture Topic: Cardinal Numbers
  • Lecture Notes:
  • Assignments Due:
• Date: 5/22
  • Lecture Topic: Rank
  • Lecture Notes:
  • Assignments Due:
• Date: 5/24
  • Lecture Topic: Presentations
  • Lecture Notes:
  • Assignments Due: Homework 7 Download Homework 7
• Date: 5/27
  • Lecture Topic: Memorial Day! (NO CLASS)
  • Lecture Notes:
  • Assignments Due:
• Date: 5/29
  • Lecture Topic: Presentations
  • Lecture Notes:
  • Assignments Due:
• Date: TBD
  • Lecture Topic: Final Quiz
  • Lecture Notes:
  • Assignments Due: Final Quiz
• Date: 6/04
  • Lecture Topic:
  • Lecture Notes:
  • Assignments Due: Final Project ```