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Jeffrey Doker

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[My office is 1065 Evans | My office hours are Monday and Thursday from 10-11:30, or by appointment.]
This is my third summer in Berkeley, but it's my first time teaching for Summer Sessions.
If there's one thing I've learned, it's that you're never too old to try something completely new.
I like many things, and you may learn about some of them if you are in my class. As far as math goes, I consider myself a combinatorist in training.
I also love to teach.
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[posted 25 June 2007:]
Math 55
It's Summer 2007; I'm teaching Math 55. We meet for this class every weekday morning in 70 Evans from 8 to 9, then we go to 210 Wheeler from 9 to 10.
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[updated 14 August 2007:]
The Final countdown
The Final Exam will be held tomorrow morning from 8 to 10 in the usual places. The first hour, in 70 Evans, will cover new material we've learned since the last midterm. The second hour, in 210 Wheeler, will be a cumulative review of typical problems we've studied all term.
I'll provide you with a list of the rules of inference as well as a table of commonly used generating functions. I won't make you factor anything bigger than a degree-2 polynomial. And there's no calculators allowed; come on people.
Tonight I'm holding a review from 5-7 in 3 Evans. I'll work out the following problems from the Supplementary Exercises sections of the chapters we've covered in the past few weeks:
Chapter 3: 13, 17, 16
Chapter 4: 1, 3, 15, 17, 37, 45, 53
Chapter 7: 9, 11, 23
Chapter 9: 1, 10, 32, 33, 34
These problems are just a sample, and don't necessarily represent the entire scope of the Final Exam. Good luck folks.
[updated 14 August 2007:]
Lecture notes, etc
All course materials are now up to date (except for worksheet 11, which I've lost). Thanks go to Max for letting me photocopy his class notes so I won't have to write them myself anymore. I should have thought of this much earlier.
[posted 3 August 2007:]
Better late than never
For my own good reasons I've been a little late posting lecture notes, worksheets, and homework solutions on the webpage. I'll get those materials up on Tuesday. For those of you who don't come to class, we've lately been solving recurrence relations (7.1 and 7.2) and learning the basics of generating functions (7.4). Have good weekends folks.
[posted 25 July 2007:]
Midterm 2 preparation
The second midterm will be held on Friday, 27 July, during the second half of class. It will be 50 minutes long and will consist of five problems on topics from counting, probability, and number theory. I'll provide you with any wacky formulas you may need, so don't stress yourself out trying to memorize anything too ugly.
I'll hold a review session on Thursday afternoon from 1-3 in 7 Evans. I will go over some of the problems from the
review sheet, as well as field any questions you might have.
Good luck folks. I believe in you all.
[updated all the time:]
Homework
This is where I'll post your homework assignments, and maybe solutions sometimes:
| No. | Due | Assignment | Solutions |
| 1 | Thursday, 6/28 |
1.1: 4, 10, 31d, f; 1.2: 8, 11, 26, 50;
1.3: 10, 13, 22, 44 |
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| 2 | Monday, 7/2 |
1.4: 24, 28, 38b, c; 1.5: 8, 14, 16, 27;
1.6: 6, 17, 33; 1.7: 8, 12; 4.1: 10 |
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| 3 | Thursday, 7/5 |
2.1: 8, 16, 22, 38; 2.2: 16d, e, 30, 48;
2.3: 12, 13 Note: In 2.2.30c, "A union B" should be "A union C." |
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| 4 | Monday, 7/9 |
2.3: 24; 2.4: 34, 35;
Bonus: Exhibit a bijection between the sets (0,1) and [0,1], where (0,1) is the set of real numbers between 0 and 1 but not equal to 0 or 1, and [0,1] is the set of real numbers between 0 and 1, including 0 and 1.
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| 5 | Thursday, 7/12 |
5.1: 32, 38, 40, 47; 5.2: 10, 16;
5.3: 4, 16, 18, 36
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| 6 | Monday, 7/16 |
5.4: 6, 28a; 5.5: 19, 20, 46, 54;
6.1: 12, 16, 18, 36; 6.2: 8, 20, 26 |
Solutions |
| 7 | Thursday, 7/19 |
6.3: 4; 6.4: 10, 13, 24, 25, 30
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Solutions |
| 8 | Monday, 7/23 |
3.4: 16, 22, 34; 3.5: 2, 6, 10, 14, 24
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Solutions |
| 9 | Thursday, 7/26 |
3.5: 8; 3.6: 24; 3.7: 2a-c, 6, 12, 14, 18, 26, 28
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Solutions |
| 10 | Monday, 7/30 |
3.1: 18; 3.2: 11, 18, 20, 32, 34, 61 |
Solutions |
| 11 | Thursday, 8/2 |
4.2: 12, 14; 4.3: 2, 4, 8, 12, 24 |
Solutions |
| 12 | Monday, 8/6 |
7.1: 4, 8a-c, 18, 40; 7.2: 18, 22, 26a-d |
Solutions |
| 13 | Thursday, 8/9 |
7.4: 12e, 16, 30, 32, 40, 42, 58 |
Solutions |
| 14 | Monday, 8/13 |
9.2: 5, 14, 16, 18, 26; 9.4: 12 |
Solutions |
| 15 | Thursday, 8/16 |
9.5: 4, 26, 62; 9.7: 3, 25; 9.8: 2, 4, 16 |
Solutions |
[updated 13 August 2007:]
The ever-changing syllabus
On the first day of class I said we'd skim the whole book in two weeks. Now I'm thinking that this is not the best idea. Instead, we'll cover the important sections of the book over the span of 5 weeks, and then do the rest in the final 3 weeks. Of course, this may indeed change as time goes on as well. Anyhow, here is the tentative syllabus:
| Week | Dates | Sections | Comments |
| 1 | 6/25-6/29 | 1.1-1.7, 4.1 |
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| 2 | 7/2-7/6 | 2.1-2.4 |
No school Wednesday 7/4, Midterm 1 Friday 7/6 |
| 3 | 7/9-7/13 | 5.1-5.5, 6.1-6.3 |
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| 4 | 7/16-7/20 | 6.4, 7.5-7.6, 3.4-3.5 |
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| 5 | 7/23-7/27 | 3.6-3.7, 3.1-3.3 |
Midterm 2 Friday 7/27 |
| 6 | 7/30-8/3 | 4.2-4.4, 7.1-7.2 |
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| 7 | 8/6-8/10 | 7.4, 9.1-9.4 |
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| 8 | 8/13-8/17 | 9.5-9.8 |
Final Exam Friday 8/17 |
[updated 25 June 2007:]
Here goes nothing
This is the webpage where you will find course information, announcements, homework assignments, lecture notes, quiz solutions,
exam reviews, helpful links, and anything else related to Math 55. For now, most of the course info is located in the
first-day handout, but please check back often for more useful material.
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[Last modified: 13 August 2007]
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