Math 144, Introduction
to Set Theory
Spring 2011
Monday, March 28: Statements, predicates, and quantifiers
Homework 1 due Wednesday,
March 30 (can be found under “Assignments” in iLearn)
Wednesday, March 30: Implications and existence statements
Friday, April 1: Truth tables
Monday, April 4: Negations
Homework 2 due Wednesday,
April 6
Wednesday, April 6: Proof techniques: Existence, uniqueness, and
counterexamples
Friday, April 8: Proof techniques: Direct proof, contrapositive, and
contradiction
Corrections to problems 2, 5, 6, and
7 from Homework 2 can be turned in Monday
Monday, April 11: Sets
Homework 3 due Wednesday, April 13
Wednesday, April 13: Set operations
Friday, April 15: Combining set operations
Corrections to specified
problems from Homework 3 can be turned in Monday
Monday, April 18: The power set and Russell’s Paradox
Homework 4 due Wednesday,
April 20
Wednesday, April 20: Exam 1
Friday, April 22: Principle of mathematical induction
Corrections to problems
from Homework 4 (can choose any whose point values total up to 30) can be
turned in Monday
Monday, April 25: Principle of complete induction
Homework 5 due Wednesday, April 27
Wednesday, April 27: Relations
Friday, April 29: Partially ordered and totally ordered sets
Can turn in one corrected
problem from Homework 5 on Monday
Monday, May 2: Bounded subsets of partially ordered sets
Homework 6 due Wednesday,
May 4
Wednesday, May 4: Partitions and equivalence relations
Office hours for Friday,
May 6 changed to 10-40-11:30 am
Friday, May 6: Functions
Monday, May 9: One-to-one and onto functions
Homework 7 due Wednesday,
May 11
Wednesday, May 11: Exam 2
Friday, May 13: Inverse functions and inverse images
Monday, May 16: Images and sequences
Homework 8 due Wednesday,
May 18
Wednesday, May 18: Properties of sequences and subsequences
Friday, May 20: Cardinality
Supplement to Homework 8
can be turned in Monday
Monday, May 23: Infinite sets
Homework 9 due Wednesday,
May 25
Wednesday, May 25: Countable sets
Friday, May 27: Countable unions of countable sets
Monday, May 30: No class – Memorial Day
Homework 10 due Wednesday,
June 1
Wednesday, June 1: Uncountable sets
Friday, June 3: The Continuum Hypothesis
Tuesday, June 7: Final exam, 3-6 pm
Back to Julie Bergner’s Teaching Page
http://www.math.ucr.edu/~jbergner/math144s11.htm Last updated: 1 June
2011