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Date 

Topic 

Reading Assignment 

Suggested Problems

 
Monday, January 17

Course Procedures and Policies

Thought Experiment

* **
Wednesday, January 19 Mathematical Statements Note to the Student
Chapter 0
Sections 1.2-1.5
Problems 1, 3.
Friday, January 21 Compound Statements
Negation
True or False?
Sections 1.6-1.8 Problem 6.
*
Monday, January 24 Methods of Proof Sections 1.9-1.15 Problems 7, 8, 9.
Wednesday, January 26 Sets and Set Notation
Subsets
Sections 2.1-2.2 2.2.2
Problem 1.
Friday, January 28 Set Operations Section 2.3 Problems 2, 3.
*
Monday, January 31 The Algebra of Sets Section 2.4 to bottom of pg. 48 2.4.5, 2.4.8, 2.4.9

(2.4.5(2) and 2.4.9(2) will be written up.)
Wed., February 2 The Algebra of Sets (cont.) Rest of Section 2.4
riday, February 4 The Algebra of Sets (cont.) *
*
Monday, February 7 The Power Set Section 2.5 2.5.4, 2.5.5
Wednesday, February 9 The Power Set (cont.) *

Write-ups due for 2.4.5(2) and 2.4.9(2)

Problem 8 at the end of chapter 2 (part (c) will be written up.)

Friday, February 11 Introduction to Mathematical Induction Section 3.1 *
*
Monday, February 14 Using Mathematical Induction Section 3.2

3.2.2, 3.2.3, 3.2.4, 3.2.5, 3.2.6

Turn in write-up of problem 8(c) at the end of chapter 2. (Wednesday)

Wednesday, February 16

Using Mathematical Induction---cont.

Introduction to Complete Induction

Section 3.3
Friday, February 18 Complete Induction   3.3.3.
(3.3.2 and Putnam Problem will be written up.)
*
Monday, February 21 Finish Mathematical Induction * 3.3.4
Wednesday, February 23 Relations Section 4.1 Problem 4.1.10, and problems 2, 3, and 4 at the end of the chapter.
Friday, February 25 Introduction to Orderings---class work day. Section 4.2 (through top of pg. 75.) Write-ups due for 3.3.2 and the
Putnam Problem
 
*
Monday, February 28 Orderings---maximal/minimal & greatest/least elements
immediate predecessors/successors
Introduction to the Least Upper Bound
Rest of section 4.2 4.2.14, 4.2.15, 4.2.18.
Wednesday, March 2 The Least Upper Bound Property * 4.2.22.
(to be written up 4.2.25 and 4.2.26)
Friday, March 4 From relations to sets and back---work day! Section 4.3 (through pg. 81) . 4.3.8 and problems on pgs 80-81.

Spring Break

Monday, March  21 Equivalence relations---work day!! Rest of section 4.3 Write-ups due for 4.2.25, 4.2.26.
4.3.15, 4.3.16, 4.3.17
(to be written up 4.3.20 and 4.3.21)
Wednesday, March 23

Work on 4.3.20 and 4.3.21
Equivalence Classes

Takehome Midterm Distributed!

* 4.3.23
Friday, March 25

In-Class Midterm

*
Monday, March 28 Takehome Midterm Due Tuesday March 29 at 5 p.m!
Defining functions
* * 
Wednesday, March 30 Functions---the basic ideas   Section 5.1 Work on exercises.
Friday, April 1 Functions---continued * 5.1.13. Problems 1, 2a, and 4.
(Problems 2bd, 3, and 5 will be written up.)
*
Monday, April 4 Composition and Inverses Section 5.2

Group Problems: 5.2.3, 5.2.4
Everyone: 5.2.5.

Write-ups due of 4.3.20 and 4.3.21

Wednesday, April 6 Composition and Inverses---cont.
Images and Inverse images---Introduction
* Group Problems: 5.2.7 and 5.2.10.
(Theorem 5.2.9 will bewritten up.)
Friday, April 8 Inverse image of a set under a function. Section 5.3 Group problems: 5.3.6.*
*
Monday, April 11 Finish image of a set under a function. * Group problems: 5.3.11, 5.3.12 and Problem #5ab.
(Problems 9 and 15 will be written up)
Wednesday, April 13 Introduction to Cardinality and infinite sets
Galileo's paradox.
Section 7.1 Write-ups due of problems 2bd, 3, and 5.
Friday, April 15 Cardinality and infinite sets * 7.1.3, 7.1.5.
*
Monday, April 18 Cardinality and infinite sets (cont.) Section 7.2 Read carefully for intuition.
7.2.3 (present in class)
Wednesday, April 20 Infinite sets
Countable sets---general discussion
Section 7.3 7.2.6, and 7.2.7--may assume result of 7.2.5
Write-ups due of
theorem 5.2.9 and problems 9 and 15 at end of chapter 5.
Friday, April 22 Countable sets---work day Section 7.3---again! Problems assigned in groups
*
Monday, April 25 Uncountable sets---discussion
Cantor's diagonalization argument.
Section 7.4 *
Wednesday, April 27 Uncountable sets---cont. Section 7.4---again!  
Friday, April 29 Countable and Uncountable sets---class presentations begin!!! * *
*
Monday, May 2 Countable and Uncountable sets---class presentations * *
Wednesday, May 4 Countable and Uncountable sets---class presentations * * 
Friday, May 6

Countable and Uncountable sets---class presentations

Takehome Final Distributed!

* *
 

Final Examination

Tuesday, May 10 from 9:30-11:30 a.m.

(Note: This is the scheduled time for the Period 6 courses)