SUNY Geneseo » Math Department » Aaron Heap » MATH 330

MATH 330: Homework Assignments

Turn in your homework assignment to me (in class or my office) before 5:00 PM on the due date.

*** Show/hide complete instructions. ***

To receive full credit, homework sets must be handed in to me on time (either in class or my office.) Although it is not required, students should consider typesetting their homework using LaTeX. Turn in as much of the homework as you can by this deadline to receive partial credit. If you have a legitimate conflict you must tell me ahead of time.

You will work with a "homework partner" throughout the semester, and the two of you will turn in only one final version of each assignment. You are encouraged to work with other students on the assignments as much as possible, but each student pair must write up the answers in their own words. Each individual student is STRONGLY ENCOURAGED to think about and attempt the problems on their own before meeting with their partner. When you are about to tackle the homework assignment, you should use this strategy:
THINK, PAIR, SHARE.

You are expected to be working on the homework assignments throughout the week.
DO NOT WAIT UNTIL THE DAY BEFORE IT IS DUE TO START THE ASSIGNMENT!

In addition to learning wonderful mathematics this semester, we will also be working on three academic fundamentals that are vital to success in your education and in your career: Reading, writing, and communication.

Reading the textbook is extremely important. It is required, NOT optional. I certainly won't be able to cover in class all the material you will be required to learn. As a result, you will be expected to do a lot of reading. The reading assignments will be on topics to be discussed in the following lecture to enable you to ask focused questions in the class and to better understand the material. Your chances of getting a good grade in this course are infinitesimally small unless you read the textbook in addition to attending lectures.

Writing quality proofs is essential. You are expected to be able to effectively present mathematics with a well-organized, thoughtful, neatly written argument. What is a "quality proof"?

Communication with your peers will be a focal point. In addition to working with partners on your homework assignments, there will also be regular presentations given in class. Students will be asked to present their solutions to problems to the rest of the class. The best way to truly understand a concept is to be able to explain it to someone else. Talking about math is just as important as thinking and writing math. Our goal is to become more comfortable with the necessary communication.

UPDATED: Thursday, April 18, 2019 15:29

*** Click here to show/hide Unit 1 Schedule (leading up to Exam 1.) ***

Set Homework Problems Due Date

Reading Instructions In the grey sections below, there are reading assignments and a list of problems that should be attempted before the start of class on the due date. On this day we will begin working and presenting the solutions/proofs of these problems in class. Due before class

Problem Set In the white sections below, there are lists of problems that you and your partner will write up solutions for and hand in to be evaluated. These are due by 5:00 pm on the due date. Due by 5:00pm

Read Watch the following video: The Map of Mathematics
Read Part 1 (Chapter 0) of the textbook, especially pages 3-7 and 17-23. This should all be review material.

You might also find the following videos useful:
Divisibility, Congruence mod n, Equivalence Relations, and Induction.

You might prefer to read about Equivalence Relations here.

Be ready to discuss in class Ch 0: 1, 2, 3, 4, 11, 19, 28 (use induction) Tuesday,
January 29

Read CLASSES CANCELED Thursday,
January 31

Read Read Chapter 1 of the textbook, pages 31-36.
Be ready to discuss in class Ch 1: 4-12, 16 Tuesday,
February 5

Read Read Chapter 2, pages 42-52.
Be ready to discuss in class Ch 2: 7-9, 12, 13 Thursday,
February 7

Problem Set 1 Ch 0: 6, 9, 20, 21
The problems below in green are for extra practice. You do NOT have to hand these in.
Extra Suggested Problems: 8, 10, 26, 30, 38
Ch. 1: 13
Extra Suggested Problems: 2, 3

Discussion Problems Finish the discussion of Chapter 2.
Be ready to discuss in class Ch 2: 7-9, 12, 13, 16, 22, 27, 28, 30, 34, 35 Tuesday,
February 12

Read Read Chapter 3, pages 60-68.
Be ready to discuss in class Ch 3: 1, 2, 4, 20, 22, 32, 37, 48, 49 Thursday,
February 14

Problem Set 2 Ch. 2: 18, 19, 25, 32, 47, 49
Extra Suggested Problems: 10, 21, 23, 24, 26, 33, 48
Optional Challenge Problem: 17 Tuesday,
February 19

Discussion Problems Finish the discussion of Chapter 3.
Be ready to discuss in class Ch 3: 1, 2, 4, 20, 22, 32, 37, 48, 49, 52, 53, 58, 65, 66, 67

Read Read Chapter 4, pages 77-86.
Be ready to discuss in class Ch 4: 1-9 Thursday,
February 21

Problem Set 3 Ch. 3: 23, 26, 34, 41, 71
Extra Suggested Problems: 3, 6, 7, 10, 11, 38, 42, 45, 50, 57, 62, 63, 72 Tuesday,
February 26

Discussion Problems Be ready to discuss in class Ch 4: 1-9, 21, 22, 32, 38, 57, 58

Exam Questions Exam Questions: The exam coming up will cover Chapters 0-4 of the textbook. Each student must submit a possible exam question coming from the material of these chapters. Submit one question by the due date, and if I choose to include your question then you will receive 5 bonus points on the exam.
Wednesday,
February 27

Discussion
and Review We will finish discussing Chapter 4 and review for the exam. Thursday,
February 28

Problem Set 4 Ch. 4: 10, 14, 24, 34, 55
Extra Suggested Problems: 11, 19, 23, 26, 27, 31, 37, 56, 62, 68, 75 Tuesday,
March 5

Exam Exam 1 will be given on Tuesday, March 5: The exam will cover all of Chapters 0-4 of the textbook. It will be similar to the homework, including both computational and proof exercises. To practice for the exam, review the homework problems and suggested problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems.

Set	Homework Problems	Due Date
Reading Instructions	In the grey sections below, there are reading assignments and a list of problems that should be attempted before the start of class on the due date. On this day we will begin working and presenting the solutions/proofs of these problems in class.	Due before class
Problem Set	In the white sections below, there are lists of problems that you and your partner will write up solutions for and hand in to be evaluated. These are due by 5:00 pm on the due date.	Due by 5:00pm
Read	Watch the following video: The Map of Mathematics Read Part 1 (Chapter 0) of the textbook, especially pages 3-7 and 17-23. This should all be review material. You might also find the following videos useful: Divisibility, Congruence mod n, Equivalence Relations, and Induction. You might prefer to read about Equivalence Relations here. Be ready to discuss in class Ch 0: 1, 2, 3, 4, 11, 19, 28 (use induction)	Tuesday, January 29
Read	CLASSES CANCELED	Thursday, January 31
Read	Read Chapter 1 of the textbook, pages 31-36. Be ready to discuss in class Ch 1: 4-12, 16	Tuesday, February 5
Read	Read Chapter 2, pages 42-52. Be ready to discuss in class Ch 2: 7-9, 12, 13	Thursday, February 7
Problem Set 1	Ch 0: 6, 9, 20, 21 The problems below in green are for extra practice. You do NOT have to hand these in. Extra Suggested Problems: 8, 10, 26, 30, 38 Ch. 1: 13 Extra Suggested Problems: 2, 3
Discussion Problems	Finish the discussion of Chapter 2. Be ready to discuss in class Ch 2: 7-9, 12, 13, 16, 22, 27, 28, 30, 34, 35	Tuesday, February 12
Read	Read Chapter 3, pages 60-68. Be ready to discuss in class Ch 3: 1, 2, 4, 20, 22, 32, 37, 48, 49	Thursday, February 14
Problem Set 2	Ch. 2: 18, 19, 25, 32, 47, 49 Extra Suggested Problems: 10, 21, 23, 24, 26, 33, 48 Optional Challenge Problem: 17	Tuesday, February 19
Discussion Problems	Finish the discussion of Chapter 3. Be ready to discuss in class Ch 3: 1, 2, 4, 20, 22, 32, 37, 48, 49, 52, 53, 58, 65, 66, 67
Read	Read Chapter 4, pages 77-86. Be ready to discuss in class Ch 4: 1-9	Thursday, February 21
Problem Set 3	Ch. 3: 23, 26, 34, 41, 71 Extra Suggested Problems: 3, 6, 7, 10, 11, 38, 42, 45, 50, 57, 62, 63, 72	Tuesday, February 26
Discussion Problems	Be ready to discuss in class Ch 4: 1-9, 21, 22, 32, 38, 57, 58
Exam Questions	Exam Questions: The exam coming up will cover Chapters 0-4 of the textbook. Each student must submit a possible exam question coming from the material of these chapters. Submit one question by the due date, and if I choose to include your question then you will receive 5 bonus points on the exam.	Wednesday, February 27
Discussion and Review	We will finish discussing Chapter 4 and review for the exam.	Thursday, February 28
Problem Set 4	Ch. 4: 10, 14, 24, 34, 55 Extra Suggested Problems: 11, 19, 23, 26, 27, 31, 37, 56, 62, 68, 75	Tuesday, March 5
Exam	Exam 1 will be given on Tuesday, March 5: The exam will cover all of Chapters 0-4 of the textbook. It will be similar to the homework, including both computational and proof exercises. To practice for the exam, review the homework problems and suggested problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems.

*** Click here to show/hide Unit 2 Schedule (leading up to Exam 2.) ***

Set Homework Problems Due Date

Read Read Chapter 5, pages 99-110.
Be ready to discuss in class Ch 5: 1, 2, 4, 5, 6, 7 Thursday,
March 7

Discussion Problems Be ready to discuss in class Ch 5: 1, 2, 4, 5, 6, 7, 11, 12, 16, 19, 25, 30, 34, 38, 45, 64 Tuesday,
March 12

Exam
Corrections This is an opportunity to get some points added to your exam score.

Any of you are allowed to do exam corrections. These corrections will add points back to your exam, up to 35% of the points taken off.

You need to make corrections for all of the mistakes you made on the exam. Please provide the correct solution to EVERY problem that you did not get completely correct.

In addition to giving the correct solution, you must GIVE AN EXPLANATION for why your original solution is incorrect.

The exam corrections must be submitted to me orally. Make an appointment or come by my office hours by the due date. (It is best if you do this AS SOON AS POSSIBLE, while the exam is still fresh in your mind.)

Complete by
Wednesday, March 27

Problem Set 5 Ch. 5: 3, 8, 17, 27, 35
Extra Suggested Problems: 9, 10, 15, 18, 20, 28, 42, 44, 46 Thursday,
March 14

Read Read Chapter 6, pages 127-138 (but ignore inner automorphisms.)
Be ready to discuss in class Ch 6: 1, 3-7, 9

Discussion Problems Be ready to discuss in class Ch 6: 28, 32, 33, 41 Tuesday,
March 26

Problem Set 6 Ch. 6: 10, 14, 34, 36, 37
Extra Suggested Problem: 31, 35 Thursday,
March 28

Read Read Chapter 7, pages 144-151.
Be ready to discuss in class Ch 7: 1-8

Discussion Problems Be ready to discuss in class Ch 7: 12, 15, 16, 26, 28, 29, 33, 34 Tuesday,
April 2

Problem Set 7 Ch. 7: 17, 18, 27, 46, 65 Thursday,
April 4

Read Read Chapter 8, pages 162-168.
Be ready to discuss in class Ch 8: 2, 4, 6, 8, 9, 10, 12, 14

Exam Questions Exam Questions: The exam coming up will cover Chapters 5-8 of the textbook. Each student must submit a possible exam question coming from the material of these chapters. Submit one question by the due date, and if I choose to include your question then you will receive 5 bonus points on the exam.

Discussion Problems Be ready to discuss in class Ch 8: 22, 23, 27, 31, 41, 42, 47, 52, 54, 55 Tuesday,
April 9

Problem Set 8 Ch. 8: 5, 11, 26, 53, 60
Extra Suggested Problem: 1, 7, 15, 16, 17, 25 Thursday,
April 11

Exam Exam 2 will be given on Thursday, April 11: The exam will cover all of Chapters 5-8 of the textbook. It will be similar to the homework, including both computational and proof exercises. To practice for the exam, review the homework problems and suggested problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems.

Set	Homework Problems	Due Date
Read	Read Chapter 5, pages 99-110. Be ready to discuss in class Ch 5: 1, 2, 4, 5, 6, 7	Thursday, March 7
Discussion Problems	Be ready to discuss in class Ch 5: 1, 2, 4, 5, 6, 7, 11, 12, 16, 19, 25, 30, 34, 38, 45, 64	Tuesday, March 12
Exam Corrections	This is an opportunity to get some points added to your exam score. Any of you are allowed to do exam corrections. These corrections will add points back to your exam, up to 35% of the points taken off. You need to make corrections for all of the mistakes you made on the exam. Please provide the correct solution to EVERY problem that you did not get completely correct. In addition to giving the correct solution, you must GIVE AN EXPLANATION for why your original solution is incorrect. The exam corrections must be submitted to me orally. Make an appointment or come by my office hours by the due date. (It is best if you do this AS SOON AS POSSIBLE, while the exam is still fresh in your mind.)	Complete by Wednesday, March 27
Problem Set 5	Ch. 5: 3, 8, 17, 27, 35 Extra Suggested Problems: 9, 10, 15, 18, 20, 28, 42, 44, 46	Thursday, March 14
Read	Read Chapter 6, pages 127-138 (but ignore inner automorphisms.) Be ready to discuss in class Ch 6: 1, 3-7, 9
Discussion Problems	Be ready to discuss in class Ch 6: 28, 32, 33, 41	Tuesday, March 26
Problem Set 6	Ch. 6: 10, 14, 34, 36, 37 Extra Suggested Problem: 31, 35	Thursday, March 28
Read	Read Chapter 7, pages 144-151. Be ready to discuss in class Ch 7: 1-8
Discussion Problems	Be ready to discuss in class Ch 7: 12, 15, 16, 26, 28, 29, 33, 34	Tuesday, April 2
Problem Set 7	Ch. 7: 17, 18, 27, 46, 65	Thursday, April 4
Read	Read Chapter 8, pages 162-168. Be ready to discuss in class Ch 8: 2, 4, 6, 8, 9, 10, 12, 14
Exam Questions	Exam Questions: The exam coming up will cover Chapters 5-8 of the textbook. Each student must submit a possible exam question coming from the material of these chapters. Submit one question by the due date, and if I choose to include your question then you will receive 5 bonus points on the exam.
Discussion Problems	Be ready to discuss in class Ch 8: 22, 23, 27, 31, 41, 42, 47, 52, 54, 55	Tuesday, April 9
Problem Set 8	Ch. 8: 5, 11, 26, 53, 60 Extra Suggested Problem: 1, 7, 15, 16, 17, 25	Thursday, April 11
Exam	Exam 2 will be given on Thursday, April 11: The exam will cover all of Chapters 5-8 of the textbook. It will be similar to the homework, including both computational and proof exercises. To practice for the exam, review the homework problems and suggested problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems.

*** Click here to show/hide Unit 3 Schedule (leading up to the Final Exam.) ***

Set Homework Problems Due Date

Read Read Chapter 9, pages 185-195, 199. (Ignore Inn(G) and internal direct products.)
Be ready to discuss in class Ch 9: 1, 8, 10, 11, 12; Tuesday,
April 16

Discussion Problems Be ready to discuss in class Ch 9: 13, 14, 17, 18, 19, 25, 27, 56; Thursday,
April 18

Exam
Corrections This is an opportunity to get some points added to your exam score.

Any of you are allowed to do exam corrections. These corrections will add points back to your exam, up to 35% of the points taken off.

You need to make corrections for all of the mistakes you made on the exam. Please provide the correct solution to EVERY problem that you did not get completely correct. For the TRUE/FALSE problem, you will be required to give justification for both true and false answers

In addition to giving the correct solution, you must GIVE AN EXPLANATION for why your original solution is incorrect.

The exam corrections must be submitted to me orally. Make an appointment or come by my office hours by the due date. (It is best if you do this AS SOON AS POSSIBLE, while the exam is still fresh in your mind.)

Complete by
Monday, April 29

Read Read Chapter 10, pages 208-219.
Be ready to discuss in class Ch 10: 3, 5, 8, 9, 12; Tuesday,
April 23

9 Ch. 9: 7, 22, 24, 28, 38;
Extra Suggested Problem: 2, 6, 9, 16, 23, 43, 55, 59, 69 Thursday,
April 25

Discussion Problems Be ready to discuss in class Ch 10: 15, 18, 19, 20, 24, 27, 31, 33, 47, 48, 49;

10 Ch 10: 6, 14, 16, 25, 26;
Extra Suggested Problem: 1, 2, 4, 7, 10, 17, 45, 52 Tuesday,
April 30

Read Read Chapter 11, pages 226-231.
Be ready to discuss in class Ch 11: 1, 2, 3, 4, 5, 15;

Read Read Chapter 12, pages 245-250.
Be ready to discuss in class Ch 12: 2, 4, 7; Thursday,
May 2

11 Ch 11: 6, 7, 8, 10, 22 (Feel free to do problems 6, 7, and 8 all as one problem.)
Extra Suggested Problem: 16, 23 Tuesday,
May 7

Discussion Problems Be ready to discuss in class Ch 12: 2, 4, 7, 10(only examples 10, 13), 19, 25, 37, 39, 43;

Exam Questions Exam Questions: The final exam will focus on Chapters 9-12 of the textbook. Each student must submit a possible exam question coming from the material of these chapters. Submit one question by the due date, and if I choose to include your question then you will receive 5 bonus points on the exam.
Tuesday,
May 7

SOFI's Student Opinion of Faculty Instruction

Please take the time to complete the SOFI for this course. Log into KnightWeb to complete your SOFIs

Surveys must be completed by Study Day. Complete by
Wednesday, May 8

12 Ch 12: 6, 22, 26, 40, 42
Extra Suggested Problem: 1, 3, 5, 11, 17, 27, 28, 38, 41, 47 Friday,
May 10

Final
Exam The Final Exam is on Friday, May 10, 12:00-2:30 pm, in class:

The exam will cover all of Chapters 9-12 of the textbook. It will be similar to the homework, including both computational and proof exercises. To practice for the exam, review the homework problems and suggested problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems.
Friday, May 10

Set	Homework Problems	Due Date
Read	Read Chapter 9, pages 185-195, 199. (Ignore Inn(G) and internal direct products.) Be ready to discuss in class Ch 9: 1, 8, 10, 11, 12;	Tuesday, April 16
Discussion Problems	Be ready to discuss in class Ch 9: 13, 14, 17, 18, 19, 25, 27, 56;	Thursday, April 18
Exam Corrections	This is an opportunity to get some points added to your exam score. Any of you are allowed to do exam corrections. These corrections will add points back to your exam, up to 35% of the points taken off. You need to make corrections for all of the mistakes you made on the exam. Please provide the correct solution to EVERY problem that you did not get completely correct. For the TRUE/FALSE problem, you will be required to give justification for both true and false answers In addition to giving the correct solution, you must GIVE AN EXPLANATION for why your original solution is incorrect. The exam corrections must be submitted to me orally. Make an appointment or come by my office hours by the due date. (It is best if you do this AS SOON AS POSSIBLE, while the exam is still fresh in your mind.)	Complete by Monday, April 29
Read	Read Chapter 10, pages 208-219. Be ready to discuss in class Ch 10: 3, 5, 8, 9, 12;	Tuesday, April 23
9	Ch. 9: 7, 22, 24, 28, 38; Extra Suggested Problem: 2, 6, 9, 16, 23, 43, 55, 59, 69	Thursday, April 25
Discussion Problems	Be ready to discuss in class Ch 10: 15, 18, 19, 20, 24, 27, 31, 33, 47, 48, 49;	Thursday, April 25
10	Ch 10: 6, 14, 16, 25, 26; Extra Suggested Problem: 1, 2, 4, 7, 10, 17, 45, 52	Tuesday, April 30
Read	Read Chapter 11, pages 226-231. Be ready to discuss in class Ch 11: 1, 2, 3, 4, 5, 15;	Tuesday, April 30
Read	Read Chapter 12, pages 245-250. Be ready to discuss in class Ch 12: 2, 4, 7;	Thursday, May 2
11	Ch 11: 6, 7, 8, 10, 22 (Feel free to do problems 6, 7, and 8 all as one problem.) Extra Suggested Problem: 16, 23	Tuesday, May 7
Discussion Problems	Be ready to discuss in class Ch 12: 2, 4, 7, 10(only examples 10, 13), 19, 25, 37, 39, 43;	Tuesday, May 7
Exam Questions	Exam Questions: The final exam will focus on Chapters 9-12 of the textbook. Each student must submit a possible exam question coming from the material of these chapters. Submit one question by the due date, and if I choose to include your question then you will receive 5 bonus points on the exam.	Tuesday, May 7
SOFI's	Student Opinion of Faculty Instruction Please take the time to complete the SOFI for this course. Log into KnightWeb to complete your SOFIs Surveys must be completed by Study Day.	Complete by Wednesday, May 8
12	Ch 12: 6, 22, 26, 40, 42 Extra Suggested Problem: 1, 3, 5, 11, 17, 27, 28, 38, 41, 47	Friday, May 10
Final Exam	The Final Exam is on Friday, May 10, 12:00-2:30 pm, in class: The exam will cover all of Chapters 9-12 of the textbook. It will be similar to the homework, including both computational and proof exercises. To practice for the exam, review the homework problems and suggested problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems.	Friday, May 10