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Math 34001: Fundamental Concepts of Algebra

Spring 2015

Course Information

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I will expect you to read mail sent to your @kent.edu account regularly. I will occasionally send the class emails via Flashline.


New course for Fall 2015: The Mathematics of Social Choice


Semester Schedule with Homework Assignments

Date Prepare for Class
Reading
Sign-up Homework
Presentations
Hand-in Homework Reflective Essays Announcements
Week 1 Monday, 1/12/15 X X X Snow Day: No Class
Wednesday, 1/14/15 X X X
Friday, 1/16/15 4-10 X X
Week 2 Monday, 1/19/15 X X X MLK Day: No classes
Wednesday, 1/21/15 11-18 Proposition 9 Essay 1
Friday, 1/23/15 19-28 X X Quiz 1 covers 1-18. Be prepared to state definitions, complete the statements of propositions, identify algebraic properties of various sets and operations. On future quizzes, you will be asked to prove propositions, but not on this first quiz.
Quiz 1 solution
Week 3 Monday, 1/26/15 19-28 HW1: Rewrite and resubmit proof of Proposition 9, based on class discussion and comments on your first attempt. This would be a good time to read some of the suggestions for writing proofs posted below.
HW1 student solution
X
Wednesday, 1/28/15 29-35 X Essay 2
Friday, 1/30/15 29-35 X X Quiz 2 will cover 1-28. Be prepared to state definitions, complete the statements of propositions, identify algebraic properties of various sets and operations, and to prove propositions.
Quiz 2 solution
Week 4 Monday, 2/2/15 X X X Snow Day: No classes
Wednesday, 2/4/15 X HW2: Carefully write up proofs of Prop. 27, Prop. 29, and Cor. 30. (Item 30 has been fixed on the sheet.)
Your work can and should be informed by the discussions in your small groups and in class, but your write-up should be your own work, in your own words. If you haven't already done so, please read the proof-writing guidelines below.
HW2 solution
Essay 3
A nice example and another nice example
Friday, 2/6/15 36-44 X X Quiz 3 will cover 1-35.
Quiz 3 solution
Week 5 Monday, 2/9/15 X HW3: Carefully write up proofs of Propositions 38, 39, 41, and 43. X
Wednesday, 2/11/15 1-54 X Essay 4
Friday, 2/13/15 1-55 X X Quiz 4 and
Quiz 4 solution
Week 6 Monday, 2/16/15 1-55 X X
Wednesday, 2/18/15 1-55 HW4: Carefully write up proofs of Propositions 38, 41, 48, and 49 X Quiz 5 and
Quiz 5 solution
Friday, 2/20/15 Snow Day: No classes.
Week 7 Monday, 2/23/15 X X X
Wednesday, 2/25/15 X X X
Friday, 2/27/15 X X X Exam 1
Exam 1 solution
Week 8 Monday, 3/2/15 X X X
Wednesday, 3/4/15 59-66 X X
Friday, 3/6/15 59-75 X X
Week 9 Monday, 3/9/15 59-75 Essay 5 (self assessment) Quiz 6 and
Quiz 6 solution
Wednesday, 3/11/15 HW5: Write up careful proofs of Prop. 66(i), Prop. 66(v), Prop. 69, Prop. 71, and Prop. 75.
HW5 solution
Friday, 3/13/15 70-83 Quiz 7 and
Quiz 7 solution
Week 10 Monday, 3/16/15 X X X Class canceled due to instructor illness.
Wednesday, 3/18/15 X X X Class canceled due to instructor illness.
Friday, 3/20/15 70-83 X X
Have a Great Spring Break!
Week 11 Monday, 3/31015 84-87 and 96-104 X X
Wednesday, 4/1/15 88-95 X X
Friday, 4/3/15 X X X Quiz 8 and
Quiz 8 solution
Week 12 Monday, 4/6/15 105-108 HW6: Write up Prop 88, Lemmas 90, 91, 92, and Explorations 105(c), 106(c), 107(c), and 108(c).
HW6 solution
X
Wednesday, 4/8/15 X X X
Friday, 4/10/15 X X X Exam 2
Exam 2 solution
Week 13 Monday, 4/13/15 X X X
Wednesday, 4/14/15 114-121 X X
Friday, 4/17/15 122-134. (Can you make a better conjecture?) X X Quiz 9 covers 114-125 Know the definition of "divides" and how to prove Conjecture 122. For the other conjectures, on the quiz, you need only know whether they're true or false.
Quiz 9 solution
Week 14 Monday, 4/20/15 122-134 HW 7 : Write up 123, 124, 125, 131, 132. X
Wednesday, 4/22/15 135-151
You are not responsible for proofs of 139, 140, 143, 144 (statements only).
X X
Friday, 4/24/15 145-159 X X Quiz 10 covers 145-155 .
Quiz 10 solution
Week 15 Monday, 4/27/15 X X
Wednesday, 4/29/15 158, 159, 171, 172, 173 X X
Friday, 5/1/15 X X X
Finals Week Tuesday 5/5/15
10:15--12:30
Essay 6
Here's your chance to brag to me about the progress you've made this semester!
Final Exam covers 1-177, with an emphasis on the Chapter on Number Theory
Last updated Fri, 01 May 2015, 12:12 pm

Guidelines for Writing Mathematics