Homework
- Problem Set 35, due Friday, December 3, 2010. From Section 15 of the textbook, do exercise 9.
- Problem Set 34, due Thursday, December 2, 2010. From Section 15 of the textbook, do exercises 5, 6, 7, and 8.
- Problem Set 33, due Tuesday, November 30, 2010. From Section 15 of the textbook, do exercise 2.
- Problem Set 32, due Monday, November 29, 2010. From Section 14 of the textbook, do exercises 3, 4, and 5.
- Problem Set 31, due Wednesday, November 24, 2010. From Section 13 of the textbook, do exercises 1, 6, and 8.
- Problem Set 30, due Tuesday, November 23, 2010. From Section 12 of the textbook, do exercises 8 and 9.
- Problem Set 29, due Monday, November 22, 2010. From Section 11 of the textbook, do exercises 21 and 23.
- Problem Set 28, due Thursday, November 18, 2010. From Section 11 of the textbook, do exercises 12 and 13.
- Problem Set 27, due Wednesday, November 17, 2010. From Section 11 of the textbook, do exercises 4 and 5.
- Problem Set 26, due Tuesday, November 16, 2010. From Section 10 of the textbook, do exercises 12, 13, 15, and 16.
- Problem Set 25, due Monday, November 15, 2010. From Section 10 of the textbook, do exercises 9, 10, and 11.
- Problem Set 24, due Monday, November 8, 2010. From Section 10 of the textbook, do exercises 5, 6, and 8.
- Problem Set 23, due Thursday, November 4, 2010. From Section 7 of the textbook, do exercises 1, 2, and 4.
- Problem Set 22, due Wednesday, November 3, 2010. From Section 6 of the textbook, do exercises 2 and 3.
- Problem Set 21, due Tuesday, November 2, 2010. From Section 5 of the textbook, do exercise 22.
- Problem Set 20, due Monday, November 1, 2010. From Section 5 of the textbook, do exercises 13, 14, and 15.
- Problem Set 19, due Thursday, October 28, 2010. From Section 5 of the textbook, do exercises 11 and 12.
- Problem Set 18, due Wednesday, October 27, 2010. From Section 5 of the textbook, do exercises 9 and 10.
- Problem Set 17, due Tuesday, October 26, 2010. From Section 5 of the textbook, do exercises 5 and 6.
- Problem Set 16, due Monday, October 25, 2010. From Section 5 of the textbook, do exercises 1 and 3.
- Problem Set 15, due Thursday, October 21, 2010. From Section 4 of the textbook, do exercises 17 and 18.
- Problem Set 14, due Wednesday, October 20, 2010. From Section 4 of the textbook, do exercise 27.
- Problem Set 13, due Wednesday, October 20, 2010. From Section 4 of the textbook, do exercises 25 and 26.
- Problem Set 12, due Thursday, October 14, 2010. From Section 4 of the textbook, do exercises 13 and 14.
- Problem Set 11, due Wednesday, October 13, 2010. From Section 4 of the textbook, do exercises 8, 10, and 12.
- Problem Set 10, due Tuesday, October 12, 2010. From Section 4 of the textbook, do exercises 3, 4, 5, and 6.
- Problem Set 9, due Monday, October 11, 2010. From Section 4 of the textbook, do exercises 1 and 2.
- Problem Set 8, due Thursday, October 7, 2010. From Section 3 of the textbook, do exercises 9, 10, and 13.
- Problem Set 7, due Wednesday, October 6, 2010. From Section 3 of the textbook, do exercises 2, 4, and 7.
- Problem Set 6, due Tuesday, October 5, 2010. From Section 3 of the textbook, do exercise 1.
- Problem Set 5, due Monday, October 4, 2010. From Section 2 of the textbook, do exercises 23 and 24.
- Problem Set 4, due Thursday, September 30, 2010. From Section 2 of the textbook, do exercises 19 and 20.
- Problem Set 3, due Wednesday, September 29, 2010. From Section 2 of the textbook, do exercises 14, 15, and 17.
- Problem Set 2, due Tuesday, September 28, 2010. From Section 2 of the textbook, do exercises 7, 8, and 10.
- Problem Set 1, due Monday, September 27, 2010. From Section 2 of the textbook, do exercises 1, 2, and 5.
Handouts
- Fake Final
- Final Review
- Short Paper Instructions
- Midterm 2 Solution Set
- Midterm 1 Solution Set
- Midterm 2 Scores
- Syllabus for the 12:30 section
- Syllabus for the 2:30 section
- Course Overview
- Homework Overview
- Fake Midterm 2
- Midterm 2 Review
- Midterm 1 Scores
- Midterm 1 Review
- Fake Midterm 1
- Point nine repeating
Lectures notes and videos
- Lecture 38: Continuum hypothesis
- Lecture 37: Countability
- Lecture 36: Diagonalization argument
- Lecture 35: Bijections
- Lecture 34: Infinite sets
- Lecture 33: Combinatorics
- Lecture 32: Counting
- Lecture 31: Families of sets
- Lecture 30: Inverse functions
- Lecture 29: Surjections, injections
- Lecture 28: Functions
- Lecture 27: Some practice problems
- Lecture 26: Algebra of set operations
- Lecture 25: Intersections, unions, subsets
- Video of Lecture 24: Sets
- Video of Lecture 23: Strong induction
- Video of Lecture 22: Sums of squares
- Video of Lecture 21: Fibonacci numbers
- Video of Lecture 20: More on binomial theorem
- Video of Lecture 19: Binomial theorem
- Video of Lecture 18: Pascal's triangle
- Video of Lecture 17: Induction and divisibility
- Video of Lecture 16: Induction
- Video of Lecture 15: Polynomials
- Video of Lecture 14: Prime numbers
- Video of Lecture 13: Congruences
- Video of Lecture 12: Divisibility
- Video of Lecture 11: Irrationality
- Video of Lecture 10: Parity
- Video of Lecture 9: Number theory
- Video of Lecture 8: Nested quantifiers
- Video of Lecture 7: Bound variables
- Video of Lecture 6: Quantifiers
- Video of Lecture 5: Contradiction, contrapositives
- Video of Lecture 4: Solving equations
- Video of Lecture 3: Tautologies
- Video of Lecture 2: Examples with real numbers
- Video of Lecture 1: Propositional calculus
Review session.
Dear Math345er,
There will be a review for next week's final exam: the review session will be Friday, December 3 from 9:40am until 11:30am, in CH240 (which, confusingly, is the same as MA240, but it is a lovely room, so we're lucky to be able to reserve it).
CH240 is between Cockins Hall and the Math Building, so you can get to Room 240 from either building. Also, I will be in my office from 3:00pm until 4:30pm on Friday, December 3, so we can talk then if the review session doesn't work for you.
We still have class tomorrow (Thursday, December 2).
And finally, if you have a chance, please submit an SEI for Math 345; your evaluations are very important.
please let me know if you have questions, ~jim
The Last Week
Dear Math345er,
It's arrived: the final week of the quarter.
SEIs: If you have a chance, please go to your class schedule and click the Evaluation button next to Math 345. Your taking the time to submit an evaluation means a lot to me personally.
Peer review: Earlier today, I sent you an email with a PDF attached; your comments on your fellow students' homework are worth 370 points. The due date is before the final exam.
Short paper: For 360 points, you can submit a short paper on a topic in mathematics. This is due before the final exam. More instructions are available at:
http://www.math.ohio-state.edu/~fowler/teaching/math345/short-paper-instructions.pdf
Final exam: next week is our final exam! There is a review sheet available at
http://www.math.ohio-state.edu/~fowler/teaching/math345/final-review.pdf
and a fake final available at
http://www.math.ohio-state.edu/~fowler/teaching/math345/fake-final.pdf
We will hold a review session on Friday.
let me know if you have questions, ~jim
The Upcoming Midterm
Dear Math345er,
On Tuesday, October 19, instead of lecture, we will take the first midterm for Math 345. To help you to prepare, I have written a review sheet listing the topics you should be expecting:
http://www.math.ohio-state.edu/~fowler/teaching/math345/midterm1-review.pdf
I have also produced a "fake midterm" and posted it at
http://www.math.ohio-state.edu/~fowler/teaching/math345/fake-midterm1.pdf
The fake midterm has the same style of question as the real midterm will have, but the fake midterm is much, much longer. The real midterm will have five questions.
We will have a chance to talk during lecture on Monday about the midterm, but if you have questions before then, please don't hesitate to email me.
wishing you all the best, ~jim
Office Hours, repeating decimals
Dear Math345er,
Tomorrow (Wednesday, October 13), I will be substitute teaching in a calculus class from 1:30 until 2:30pm, which obliterates my office hours. So I will hold office hours tomorrow from 3:30 until 4:30pm instead. In any case, if you can't make it to my regular office hours but want to talk, please email me and we can find a different time to meet.
And if you're ever confused about the homework, please email me; I'm also happy to help you with homework remotely.
Thank you for submitting responses to the survey from last week; about 80% of you said that you liked having homework every day instead of every week, so we will keep with this schedule. The survey also suggests that you are mostly happy with the pace and content, but if you would like the course to move faster or slower, or in a different direction, let me know. Once we introduce induction (right after the midterm), we will have some flexibility as to the topics we can cover.
Speaking of midterms: there is a midterm in one week! Soon I will post a fake midterm and review materials on the website.
In response to a question in lecture, I've posted a handout
http://www.math.osu.edu/~fowler/teaching/math345/point-nine-repeating.pdf
discussing very briefly why 0.99999... is actually another name for 1.
thanks, ~jim
Survey, tutoring, videos, note-taking
Dear Math345er,
First, there's a new survey available at
https://spreadsheets.google.com/viewform?formkey=dHJBaXhrYUV6aWh6SHV0NmNxSHRsNkE6MQ
I appreciate your taking the time to provide any feedback as to how I can make your Math 345 experience better.
Second, if you are looking for additional tutoring, there are new tutorial hours for Math 345 in the MSLC; there is more about this at
http://www.mslc.ohio-state.edu/about/location/345
Third, there are videos of the lectures posted at
http://www.math.ohio-state.edu/~fowler/teaching/math345/
but the videos are usually a couple of days behind (it takes media services a little while to prepare the videos for streaming).
Fourth and very importantly, there is a student in the class who is looking for a note-taking assistant; if you could copy your notes for this student, please write to me and I can help you arrange this. You will be paid $10 per credit hour at the end of the quarter.
have a great weekend, ~jim
End of week two.
Dear Math345er,
We had a discussion today in the second lecture today about Goedel's incompleteness theorems and geometry; there's an article on Wikipedia about this at
http://en.wikipedia.org/wiki/Godel's_incompleteness_theorems
I did not know this, but there is an axiomatization (due to Tarski) of a large piece of Euclidean geometry, which has been shown to be complete, consistent, and even decideable. You can read about this at
http://en.wikipedia.org/wiki/Tarski's_axioms
This is a way of encoding geometric facts in symbols, using the relationships of "between" and "congruent." One of the nicest things about teaching is getting to learn new things, so I'm grateful for finding out about this today.
Videos of the lectures are now available on
http://www.math.ohio-state.edu/~fowler/teaching/math345/
The quality will keep getting better as I figure out how to handle the video.
The homework, although graded out of 18 points, will be counted out of 60 points; so your scores will be rescaled to adjust for this.
thank you for a great week, ~jim
Posted homework.
Dear Math345er,
As pointed out today in lecture, the website was missing the most recent homework assignments! I've posted the new assignments at
http://www.math.ohio-state.edu/~fowler/teaching/math345/
and the homework should also appear on Carmen soon.
thanks, ~jim
Week one, done.
Dear Math345er,
There's a new survey available at
https://spreadsheets.google.com/viewform?formkey=dEczTkE2RHk5NDNTT0hSa0hOc0EwRVE6MQ
I have posted the second homework set at
http://www.math.ohio-state.edu/~fowler/teaching/math345/homework02.pdf
Please feel free to email me if you have trouble completing the homework, or if there are other things you want to talk about.
You can view a "video" of the second lecture at
http://www.math.ohio-state.edu/~fowler/teaching/math345/video/lecture02.flv
or if that doesn't work, try
http://www.math.ohio-state.edu/~fowler/teaching/math345/video/lecture02.mov
looking forward to collecting your homework on Monday, ~jim
The first homework set.
Dear Math345er,
I have posted the first homework set at
http://www.math.ohio-state.edu/~fowler/teaching/math345/homework01.pdf
Please let me know if you have trouble with the homework.
My video system didn't quite work today, but I'll try again Thursday, so hopefully tomorrow's lecture will have better video. Here's what happened today:
http://www.math.ohio-state.edu/~fowler/teaching/math345/video/lecture01.mov
Let me know if you have trouble viewing the video, or if you have other thoughts on this so-called video.
thank you, ~jim