For HW#6, I’d like you to work through the following problems:
- 5.1: 1-20 (all odds)
- 5.2: 1-10 (all odds)
- 5.3: 1-56 (all odds)
- 5.4: 1-11 (all odds)
- 5.5: 1-20 (all odds)
This homework will be due on Wednesday, February 29th. Again, do not worry about perfectly completing all of the problems but rather, focus on the problem types and make sure that you understand how to do the more difficult examples from each. The next quiz will (as always) be given on the evening when the homework is due and you will be allowed to use your homework while completing the quiz.
For next Wednesday, please complete the following problems:
- 4.1: 11-42 (all odds), 55-90 (all odds)
- 4.2: 1-56 (all odds)
- 4.3: 1-48 (all odds)
- 4.4: 1-74 (all odds)
- 4.5: 1-36 (all odds)
I realize that this is an awful lot of problems. I want to remind you that I do not require you to do every problem that is assigned, but instead I assign the problems hoping that you will do a ‘bunch’ of them and, ultimately, that you will learn the problem types. So, just do as many of them as you need to do in order to understand the problem types. The homework is due on Wednesday (Feb 22) and we will have a quiz the same evening over this material.
For homwork #4 please complete the following exercises:
- 3.4 #5-52 (odds)
- 3.5 #1-36 (odds)
- 3.6 #1-24 (odds)
- 3.7 #1-22 (odds)
This homework will be due on Wednesday, February 15th.
REMEMBER: we are having our first exam on Wednesday, February 8th. To best prepare for the exam, I encourage you to work out as many of the problems listed on the review sheet as possible, with obvious emphasis on the more difficult ones (if you can do the hard ones, you should be very well prepared for the exam). We will have a review session on Monday, February 6th; I strongly encourage you all to attend and ask questions regarding concepts or any of the specific review problems that you didn’t understand.
The problems that I would like you to master for this week’s homework are:
- 2.6: 1-44 (all odds)
- 2.7: 9-40 (all odd)
- 3.1: 1-50 (all odds)
- 3.2: 1-40 (all odds)
- 3.3: 1-59 (all odds)
This homework will be due on Wednesday, February 1st at the end of class. We will (as usual) have a quiz over this material the same night, and I encourage you to complete you homework as thoroughly as possible so that you understand all of the problems and are able to replicate the calculations and procedures on the quiz. Everybody is doing a really great job so far, so keep it up! As always, we’ll begin on Wednesday by taking questions, so if there are any problems on the homework that you didn’t understand or couldn’t complete, be sure to ask for help on Wednesday night.
For homework #2, please complete the following problems:
- Section 2.1 #47-76 (all odds)
- Section 2.2 #1,2,4 and 5
- Section 2.3 #1-26 (all odds)
- Section 2.4 #1-34 (all odds)
- Section 2.5 #1-40 (all odds)
This homework will be due next Wednesday (the 25th) and we will have quiz #2 on the same night. I realize that we’ve only covered sections 2.1 and 2.2, but I assign the homework early so that students may have the choice of beginning it early and working ahead. We will complete sections 2.3, 2.4 and 2.5 on Monday night after discussing the quiz and taking questions over the previous material. Finally, as a reminder, I do allow students to use their homework while taking the quizzes, so a great way to improve your quiz scores is to complete your homework entirely and to show your work (i.e. all of the steps you use in your calculations) in a detailed fashion.
For homework #1, please complete the following problems:
- Section 1.1 #1-30 (all odds)
- Section 1.2 #1-26 (all odds)
- Section 1.3 #1-30 (all odds)
- Section 1.4 #1-30 (all odds)
- Section 1.5 #1-30 (all odds)
- Section 1.6 #1-24 (all odds) and 31, 35, 51 and 59
- Section 1.7 #5-30 (all odds)
- Section 1.9 #1-16 (all odds) and #30-54 (all odds)
This homework is due at the end of class on Wednesday (the 18th). We will also have a quiz over the above material the same night. Remember, I will allow you to use your homework as a reference when taking the quiz, so it is in your best interest to make your homework as detailed and complete as possible. Have a good holiday!
Richard’s Final Exam Schedule is as follows:
Math 772 (Applied Math) ==> Monday, 1:45-3:45, regular Monday classroom
Math 063 (Algebra) ==> Monday, 5:30-7:30, regular classroom
A beautiful result (here) which reveals an interesting connection between entire functions, Cauchy’s integral formula and polynomials.
Attached is a proof of the fundamental theorem of finite Abelian groups, which says that every finite Abelian group can be written as a direct sum of cyclic subgroups of prime power order.
While the theorem is VERY beautiful, the proof is… well, accurate, but like many of the proofs from abstract algebra it is somewhat less than illuminating.