Date |
Topic |
Reading Assignment |
Homework Problems |
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| Friday, Aug. 31 |
Course Procedures and Policies
Thought Experiment |
Note to the Student
Chapter 0 |
** |
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Monday, Sept. 3 |
Mathematical Statements |
Course Procedures (online)
Sections 1.2-1.5
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Problems 1, 3. (And all Exercises---always part of the assignment!) |
Wednesday, Sept. 5 |
Compound Statements
Negation
True or False? |
Sections 1.6-1.8 |
Problem 6. |
| Friday, Sept, 7 |
Reasoning and Proof |
Finish Chapter 1
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Monday, Sept. 10 |
Reasoning and Proof, cont. |
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Problems from the handout, as assigned.
Handout: Learning from Truth Tables.
(Write up to turn in.) |
Wednesday, Sept, 12 |
Sets and Set Notation
Subsets |
Sections 2.1-2.2 |
2.2.2, 2.2.4 and
Problem 1. |
Friday, Sept. 14 |
Set Operations |
Section 2.3 |
Problems 2, 3. |
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Monday, Sept. 17 |
The Algebra of Sets |
Section 2.4 to bottom of pg. 49. |
(Exercises, of course) and 2.4.8. |
| Wednesday, Sept. 19 |
Introduction to LaTeX |
| Friday, Sept. 21 |
The Algebra of Sets (cont.) |
Rest of Section 2.4 |
2.4.5, 2.4.9
(To write up: 2.4.5(2) and 2.4.9(2)) |
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Monday, Sept. 24 |
Finish The Algebra of Sets
Introducing Power Sets |
Section 2.5 |
2.5.4, 2.5.5 |
| Wednesday, Sept. 26 |
The Power Set, cont. |
Section 2.5 (again!) |
Problem 8ab (Part c will be written up to turn in.)
Write-ups due for 2.4.5(2) and 2.4.9(2) |
Friday, Sept. 28 |
Introduction to Mathematical Induction |
Section 3.1 |
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Using Mathematical Induction |
Section 3.2 |
3.2.2, 3.2.5, 3.2.6
(To write up: 3.2.3, 3.2.4.) |
Wednesday, Oct. 3
|
Introduction to Complete Induction |
Section 3.3 |
3.3.4 |
Friday, Oct. 5 |
Finish Complete induction
Getting serious about using induction.
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3.3.3
(To write up: 3.3.2 and handout problems.)
Write-ups of problem 8(c), Chapter 2 and 3.2.3 and 3.2.4 due. |
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Monday, Oct. 8 |
Mathematical Induction---a work day. |
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Wednesday,Oct. 10
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Relations |
Section 4.1 |
Problem 4.1.10, and problems 2, 3, and 4 at the end of the chapter. |
Friday, Oct. 12 |
No Class---October Reading Days
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Monday, Oct. 15 |
Introduction to Orderings---class work day. |
Section 4.2 (through top of pg. 75.) |
Write-ups of induction problems due. |
Wednesday, Oct. 17 |
Orderings---maximal/minimal elts, etc.
Introduction to the Least Upper Bound |
Rest of section 4.2 |
4.2.14, 4.2.15, 4.2.18. |
Friday, Oct. 19 |
No Class. Professor Schumacher out of Town. |
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Monday, Oct. 22 |
The Least Upper Bound Property |
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4.2.22.
(To be written up: 4.2.25 and 4.2.26) |
Wednesday, Oct. 24 |
From relations to sets and back---work day!
Takehome Midterm Distributed! |
Section 4.3 (through pg. 81) . |
4.3.8 and problems on pgs 80-81.
(Due before 5 pm on Tuesday, October 30.) |
Friday, Oct. 26 |
In-Class Midterm |
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Monday, Oct. 29 |
Work on 4.2.25 and 4.2.26 |
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Wednesday, Oct. 31 |
Equivalence relations |
Rest of section 4.3 |
4.3.15, 4.3.16, 4.3.17
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Equivalence Classes
Work on 4.3.20 and 4.3.21
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4.3.23
(To be written up: 4.3.20 and 4.3.21) |
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Monday, Nov. 5 |
Functions---the basic ideas |
Section 5.1 |
Write-ups due for 4.2.25, 4.2.26. |
Wednesday, Nov. 7 |
Functions---continued |
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5.1.13 & Problems 1, 2a, and 4.
(To write up: problems 2bd, 3, and 5.) |
Friday, Nov. 9 |
One-to-one and onto
Composition |
Section 5.2 through problem 5.2.6 |
Group Problems: 5.2.3, 5.2.4
Everyone: 5.2.5.
Write-ups due of 4.3.20 and 4.3.21 |
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Monday, Nov. 12 |
Composition and Inverses
Introducing images and inverse images |
Rest of section 5.2 |
Class Problem (everyone): 5.2.10.
(Theorem 5.2.9 will be written up.) |
Wednesday, Nov. 14 |
Inverse image of a set under a function. |
Section 5.3 |
Group problems: 5.3.6 (1,2)
Everyone: 5.3.6 (3)
Write-ups due of Chapter 5 problems 2bd, 3, and 5. |
Friday, Nov. 16 |
Image of a set under a function. |
More on Section 5.3 |
Group problems: 5.3.11, 5.3.12(2).
Everyone: 5.3.12(1)
(Problems 6, 9 and 15 will be written up) |
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Monday, Nov. 26 |
Continue Group Presentations |
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Wednesday, Nov. 28 |
Finish Chapter 5. |
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Friday, Nov. 30 |
Introduction to Cardinality: Galileo's Paradox and Infinite Sets. |
Section 7.1 |
Theorems 7.1.3 and 7.1.5
Write-ups due of Chapter 5 problems Thm. 5.2.9, 6, 9, 15 |
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Cardinality and infinite sets---a discussion. |
Section 7.2
Read carefully for intuition. |
7.2.6, and 7.2.7--may assume result in 7.2.3 and 7.2.5
Problems from 7.3 assigned in groups |
Wednesday, Dec. 5 |
Infinite sets
Countable sets---general discussion |
Section 7.3 |
Problems from 7.3 assigned in groups |
Friday, Dec. 7 |
Uncountable sets---discussion of
Cantor's diagonalization argument. |
Section 7.4 |
Problems from 7.4 assigned in groups
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Monday, Dec. 10 |
Countable and Uncountable sets---class presentations begin! |
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Wednesday, Dec. 12 |
Countable and Uncountable sets---class presentations |
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Friday, Dec. 14 |
Countable and Uncountable sets---class presentations
Takehome Final Distributed! |
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Final Examination
In-Class Exam---Monday, December 17, 2011 from 9:30 to 11:30 a.m
Takehome exam---due by 10 a.m on Thursday, December 20.
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