Announcements
Solutions to final exam
Here is the final exam: final.pdf and my solutions: final_answers.pdf
Final Exam
The final exam is on Tuesday, December 19th at 1:45pm in Kiely 277 (that's our regular classroom). The exam will cover all of chapters 1 and 2 in the book.
Here are some of my favorite exercises---almost all have been assigned already.
- 1.1.1, 1.1.2, 1.1.5, 1.1.6
- 1.2.5, 1.2.7, 1.2.8, 1.2.12, 1.2.13, 1.2.14, 1.2.15, 1.2.17, 1.2.21
- 1.3.1, 1.3.4, 1.3.5, 1.3.9, 1.3.13
- 1.4.1, 1.4.2, 1.4.5, 1.4.8
- 2.1.3, 2.1.5
- 2.2.1, 2.2.2
- 2.3.1, 2.3.3, 2.3.6, 2.3.11, 2.3.15, 2.3.18
- 2.4.1, 2.4.2, 2.4.3, 2.4.4, 2.4.8, 2.4.12, 2.4.13, 2.4.14, 2.4.15, 2.4.16
- 2.5.2, 2.5.3, 2.5.6, 2.5.8
- 2.6.4, 2.6.5, 2.6.17, 2.6.18, 2.6.19, 2.6.21, 2.6.22, 2.6.31
- 2.7.10
Homework for the weekend
Carefully read sections 2.5 and 2.6 in the book. Pay attention to the definitions, the theorems, the proofs, and the examples. Do the following exercises:
- 2.6.1, 2.6.2, 2.6.4, 2.6.5, 2.6.14, 2.6.15, 2.6.17, 2.6.18, 2.6.19, 2.6.25, 2.6.28
Homework for the week
Remember, there is no class next week. This homework is due on Tuesday, November 28.
- Continue studying section 2.4, do exercises: 2.4.8, 2.4.9, 2.4.11, 2.4.12, 2.4.13, 2.4.14, 2.4.15, 2.4.16, 2.4.17
- Carefully study section 2.5 and do exercises: 2.5.1, 2.5.2, 2.5.3
Be prepared to present your solutions to the class on Tuesday November 28.
Homework for the weekend
Carefully read section 2.4 in the book. Pay attention to the definitions, the theorems, the proofs, and the examples. Do the following exercises:
- 2.4.1, 2.4.2, 2.4.3, 2.4.5, 2.4.4, 2.4.6, 2.4.7
Be prepared to present your solutions to the class on Tuesday.
Homework for the weekend
Carefully read sections 2.1, 2.2, and 2.3 in the book. Pay attention to the definitions, the theorems, the proofs, and the examples. Do the following exercises:
- 2.1.3, 2.1.5, 2.1.8, 2.2.1, 2.2.2, 2.2.4, 2.2.5, 2.3.1, 2.3.2, 2.3.3
Solutions to midterm exam
Here is the midterm exam: midterm.pdf and my solutions: midterm_answers.pdf
Also, remember there will be no office hours on Thursday, November 2.
Midterm exam and practice problems
Remember, the midterm will be in class on Tuesday, October 31 and will cover the material in chapter 1 in the book, including section 1.5.
Here's a list of practice problems for you to work on practice_for_midterm.pdf.
Homework for the weekend
Be sure you've carefully studied the material up through section 1.4 and that you understood the ideas, the definitions, the theorems and proofs, and the examples. If you have questions, be sure to get them answered.
- In addition to the problems already assigned, do exercises 1.4.3, 1.4.6, 1.4.7, and 1.4.8.
Review the material on elementary matrices on pages 34 and do exercise 1.5.4. Elementary matrices are part of linear algebra and are pre-requisite material for this course. If you'd like to review your linear algebra more thoroughly, I suggest checking out Sheldon Axler's Linear Algebra Done Right. You'll see a link to a free compactified version.
Also, read the paragraph about the principle of mathematical induction on page 35 and do exercise 1.5.7.
Midterm exam
In this course, we'll have two exams: a midterm and a final exam. The midterm will be in class on Tuesday, October 31 and will cover the material in chapter 1 in the book, including section 1.5.
I updated the syllabus with the midterm exam date.
Sections 1.4 continued
Next week we will continue to cover section 1.4.
- Carefully reread the material on invertible matrices on pages 29-30 and do exercises 1.4.4, 1.4.5, 1.4.7, and 1.4.8.
- Read the definition of a field on page 32 and do exercises 1.4.10, 1.4.11, and 1.4.12.
Be prepared for class on Tuesday, October 17.
Sections 1.4
Be sure you're caught up on section 1.3. Next week we will cover section 1.4. Get started this weekend.
- Read the material on invertible matrices on pages 29-30 and do exercises 1.4.1, 1.4.2, and 1.4.3.
Be prepared for class on Tuesday, October 3!
Sections 1.3 (continued)
Continue your study of section 1.3. The section has two parts: integers mod n (pp 20--21 and the exercises on p 22) and the elementary properties of the integers (pp 23--28 and the exercises on pp 28--29).
- Review the material on integers mod n and do exercises 1.3.2, 1.3.3, 1.3.4, 1.3.5, 1.3.6, 1.3.9, 1.3.10
- Carefully read about the elementary properties of the integers, study the axioms, definitions, theorems, and proofs.
- Do exercises 1.3.11, 1.3.12, 1.3.13, 1.3.15
Be prepared to present the ideas from the reading and your solutions to the exercises to the class on Tuesday, September 26.
Sections 1.2 (continued) and 1.3.
Continue your study of section 1.2. Think of the section as having two parts: functions (pp 9--14) and the symmetric group (pp 14--17)
- Carefully read the material on functions. Then, do exercises 1.2.11, 1.2.12, 1.2.13, 1.2.14, 1.2.15, 1.2.16, 1.2.17, 1.2.18, 1.2.19, 1.2.20, 1.2.21. Pay particular attention to definition 1.33 and exercises 1.2.12-1.2.15.
- Carefully read the material on the symmetric group.
- Do exercises 1.2.4, 1.2.5, and 1.2.8
Begin to study section 1.3 this weekend also. It's less than two pages.
- As a test of your understanding, do problem 1.3.1
Be prepared to present the ideas from the reading and your solutions to the exercises to the class on Tuesday, September 12.
Homework for the second week
Here is the second homework assignment:
- Carefully read section 1.2 of the textbook.
- Do exercises 1.2.4, 1.2.5, and 1.2.8
Be prepared to present the ideas from the reading and your solutions to the exercises to the class on Thursday, September 7.
Homework for the first week
Here is the homework for the first week of class.
- Carefully read section 1.1 of the textbook.
- Do exercises 1.1.1, 1.1.2, 1.1.3, 1.1.4, 1.1.5, 1.1.6
Be prepared to present the ideas from the reading and your solutions to the exercises to the class on Tuesday, September 5.
The first chapter of the book is available as preview material from the publisher: http://bookstore.ams.org/amstext-27/~~FreeAttachments/amstext-27-prev.pdf
Welcome to Math 333
This page will contain announcements and assignments for Math 333. For now, take a look at the syllabus, which contains an overview of the course, some practical information, and some important dates. In particular, There will be no class on Thursday, August 31.