Telephone - 801-651-8768 (Cell).

Email - zwick@math.utah.edu .

Office - JWB Math Building Room 129.

Office Hours - 2:00 PM - 3:00 PM Mondays, 1:00 PM - 2:00 PM Thursdays

Class Location - Leroy Cowles Building (LCB) Room 219.

Class Time - 12:55 PM - 1:45 PM Mondays, Tuesdays, Wednesdays, and Fridays.

All grades for the class are posted on canvas

The T. Benny Rushing Mathematics Center offers tutoring for many undergraduate courses, including 2280. I strongly recommend you take advantage of this free resource offered by the math department. The hours are from 8:00 AM to 8:00 PM on Mondays through Thursdays, and 8:00 AM to 6:00 PM on Fridays. The tutoring center opens on Monday, January 13th. You can find more information here.

**NO CLASS WEDNESDAY APRIL 16TH**- There will be no class tomorrow. Instead, I'd like to encourage you to attend the undergraduate colloquium, which will be during class. The title of the colloquium is "From Symmetries to Spaces", and the talk will be given by the highly esteemed mathematician Martin Bridson from Oxford.

**April 17th**- Exam 3 has been graded, and the grades are now posted on canvas. The average score was 82.9, the median score was 84.5, and the standard deviation was 12.35. I'll hand back the exams in class tomorrow. See you then.**April 15th**- Happy tax day! Today in class I returned assignment 11. We covered lecture 41 in class today, and the lecture notes with examples for lecture 41 are now posted below. Also, the link to lecture 43 below is now working. Sorry about that. Please note that class tomorrow has been cancelled, in the hope that you'll go to the undergraduate colloquium.**April 14th**- Assignment 12 was due in class today, and your grades for assignment 11 are now posted on canvas. I'll hand back assignment 11 in class tomorrow. Today in class we covered lecture 40, and the lecture notes with examples for this lecture are now posted below. We'll finish talking about section 9.5 in class tomorrow. Finally, exam 3, and its solutions, are now posted below. The exam will be graded and back to you all by the end of the week.**April 8th**- Much has now been posted. The lecture notes with examples up through today's lecture, lecture 39, are now posted below. Also, the lecture notes for lectures 40 through 42 are all posted below as well. Lecture 42 will be the last lecture on new material this semester. Assignments 9 and 10 were handed back during class today, and all grades for these assignments are posted on canvas. In addition, assignments 12, 13, and 14 are now all posted below. Assignment 12 will be due this Monday, April 14th, although it covers sections 8.4 and 8.5, which are fair game for the exam this Friday, April 11th, so please try to start assignment 12 before Friday. Assignment 13 is due on Wednesday, April 23rd, which is the last day of class. Assignment 14 isn't due until Tuesday, April 29th, at the final exam. So, you've got a fair amount of time to get these last three assignments completed, but I'd recommend starting on them early. Finally, please remember that tomorrow during class there is a review session for the third exam, and there is another review session on Thursday evening. The third exam is this Friday. More information is posted above under the "headline announcements". See you at the review session tomorrow! Don't forget to bring your questions.**March 31st**- First, the largest announcement for the week is that there will be no class this Friday. So, among other things assignment 11 is now due on Monday, April 7th, and not this Friday, April 4th. I will also not have my usual office hour this Thursday, but will have a make-up office hour from 1:45 PM to 2:45 PM (right after class) this Wednesday, April 2nd. The class schedule for the remaining three weeks has been modified, again, and I've decided to drop chapter 6. So, we'll finish chapter 8, cover chapter 9, and then review. The lecture notes with examples for lecture 34 are now posted, along with the solutions for assignment 10. We made it most of the way through lecture 35 today, and we'll finish the lecture in class tomorrow, along with starting lecture 36. The lecture notes for lectures 36, 37, and 38 are now posted below. See you tomorrow!**March 25th**- The lecture notes with examples for lecture 33 are now posted. Tomorrow we'll finish lecture 33 and start lecture 34. See you then!**March 24th**- The lecture notes with examples for lecture 32 are now posted below, along with the solutions for assignment 9. Tomorrow in class we'll cover lecture 33, which corresponds with section 8.2 from the textbook. See you then!**March 21st**- The lecture notes with examples for lectures 29, 30, and 31 are now posted below, along with the lecture notes for lectures 32, 33, 34, and 35. Assignment 8 has been graded, and your grades are posted on canvas. Finally, assignment 11 is now posted below. It is due on Friday, April 4th. Have a nice weekend!**March 10th**- Much to announce. First, exam 2 has been graded, and your grades are posted on canvas. The average score on the exam was 73.6, and the median score was 78. The standard deviation was 22.54. I'll hand back the exams in class on Monday, March 17th. Also, assignment 7 has been graded, and your grades are now posted on canvas as well. Assignment 7 will also be handed back in class on Monday, March 17th. The solutions for assignment 8 are now posted below, as is assignment 10. Finally, the lecture notes with examples for lectures 26, 27, and 28 are now posted below, along with the lecture notes for lectures 29, 30, 31, and 32. Hope everybody has a fun and relaxing spring break, and I'll see you all back in class on Monday, March 17th.**March 3rd**- Today we finished lecture 25, which covers section 5.6 from the textbook. Lectre 25 with examples is now posted below. Tomorrow, we'll start on chapter 7. Lectures 26, 27, and 28 are now posted below. Also posted below are assignment 9, and the solutions to assignment 7.**February 28th**- Exam 2 was during class today. The exam, and its solutions, are now posted below. I'll try to get the exam graded soon. Also, I need to apologize for the circuit question. In particular, there was an error in it, so the arithmetic was much, much nastier than it should have been. I'll keep this in mind when I'm grading.**February 27th**- Don't forget that we have a review session tonight at 7:00 PM in LCB 215. Also, the lecture notes with examples for lecture 24 are now posted below. Also, please don't forget that our second exam is tomorrow in class. I'll see you then!**February 24th**- The solutions for assignment 6 have been posted below. Also, assignments 4 and 5 have been graded, and your grades are posted on canvas. I'll be handing back assignments 4 and 5 in class tomorrow. Today we finished lecture 23, and began lecture 24. We'll finish lecture 24 tomorrow, and then on Wednesday we'll have a review for our exam this Friday.**February 21st**- The lecture notes with examples for lecture 23 are now posted below, along with the lecture notes for lectures 24 and 25. Also posted below is assignment 8. Assignment 8 covers sections 5.5 and 5.6, and is due on Friday, March 7th. Have a good weekend! Please remember that our second exam will be next Friday, February 28th during class.**February 19th**- The lecture notes with examples for lectures 21 and 22 are now posted below. Also posted are the solutions to assignment 5. I'll have my usual office hour tomorrow afternoon. See (some of you) then!**February 17th**- The lecture notes for lectures 22 and 23 are now posted below. Also posted is assignment 7, which will be due on Friday, February 28th. I hope everybody has enjoyed the long weekend, and I'll see you all in class tomorrow!**February 12th**- The lecture notes with examples for lectures 15 through 19 are now posted below. Also posted are the solutions for assignment 4, and assignment 6, which is due on Friday, February 21st. Today in class we covered lecture 19, tomorrow I'll have office hours, and on Friday we'll cover lecture 20. Also, please remember that assignment 5 is due on Friday.**February 4th**- Today in class we finished lecture 14, and began lecture 15. The lectures notes with examples for lecture 14 are posted below. Also, there was a problem with the link for the lectures 12 notes with examples. This has been fixed, and the link should now be working. See you tomorrow!**February 3rd**- Today in class we finished lecture 13, and began lecture 14. The lecture notes with examples up through lecture 13 are now posted below, along with the lecture notes for lectures up through lecture 21. The solutions to assignment 3 are now posted below, along with assignment 5. Finally, exam 1 and its solutions are now posted below as well. I'm grading exam 1 right now, and the exams should be graded, and grades should be posted, by the end of the week. Tomorrow in class we'll finish lecture 14, and get through most of lecture 15. See you then!**January 27th**- Today in class we finished lecture 11, and covered most of lecture 12. The lecture notes with examples for lecture 12 are now posted below. Also posted below are the lecture notes for lectures 14, 15, 16, and 17, which should take us through next week. Assignment 2 has been graded, and your grades are posted on canvas. The solutions to assignment 2 are now posted below. I'll be handing back the assignment tomorrow in class. See you then!**January 24th**- Today we finished lecture 10, and covered most of lecture 11. The lecture notes with examples for lectures 10 and 11 are now posted below. Also posted below are the lecture notes for lectures 12 and 13, which will be our only lectures in class next week. Assignment 4 has also been posted below. Next Friday, January 31st, is our first midterm exam. The exam will cover the sections we've covered in class up until today. So, sections 1.1 through 1.6 from chapter 1, sections 2.1 through 2.4 from chapter 2, and section 3.1 from chapter 3. You are allowed one standard size page of notes, front and back, on the exam. You may also use a calculator. There will be a review session during class on Wednesday, January 29th, and also a review session on the evening of Thursday, January 30th, from 7:00 PM until 8:30 PM in LCB 215, next door to our usual classroom. So, please bring your questions! Finally, I'm unfortunately unable to scan and post the first two chapters from the textbook on this website. However, according to your responses very few of you have been unable to acquire the textbook. So, if you've been unable to acquire the textbook, and this is a big problem, please let me know and after class on Monday I can arrange to have one loaned to you by the main office. Have a great weekend!**January 22nd**- Assignment 1 has been graded, and your grades are available on canvas. I'll hand back the assignment in class on Friday, when assignment 2 will be due. Posted below are the solutions to assignment 1. The lecture notes with examples for lecture 9 are posted below. The lecture notes originally contained an error. In the first example it was claimed that the time the skydiver fell after opening her parachute was 340 seconds, when it should be 323 seconds. This has been corrected in the lecture notes below. I'll be having my usual office hour tomorrow in case people would like to come by and ask me questions.**January 17th**- The lecture notes for lecture 11 are posted below, along with the lecture notes with examples for lectures 7 and 8. At the end of class today I think I said I'll see you on Monday. That was incorrect. Monday is a holiday, so I'll see you on Tuesday! Enjoy the long weekend.**January 16th**- The lecture notes for lectures 9 and 10 are now posted below, along with assignment 3. Please remember that assignment 1 is due tomorrow. Also, please note that on assignment 2 the hint for problem 1.6.13 was incorrect. I've corrected it, and the assignment 2 that is now posted below is correct. See you in class tomorrow!**January 15th**- Yesterday and today we covered lecture 6, and we began lecture 7. We should finish lecture 7 on Friday, and get through a good part of lecture 8. The lecture notes with examples for lecture 6 are now posted below. Please remember that assignment 1 is due in class on Friday. I have office hours tomorrow from 1:00 PM until 2:00 PM if you want to ask me any questions about the homework, or about anything else. Also, please keep in mind that the math department tutoring center is now open. More information about the tutoring center can be found towards the top of this webpage.**January 13th**- Hope everybody had a nice weekend. Today is Monday the 13th, Garfield's least favorite day! The lecture notes with examples for lecture 4 and 5 are now posted below. See you in class tomorrow!**January 9th**- The lectures notes with examples for lectures 1 through 3 are now posted below, along with the lecture notes for lectures 5 through 8. Tomorrow in class we'll be covering lecture 4. There was an issue with problems 1.3.1, 1.3.6, and 1.3.9 not showing on on the assignment 1 pdf file posted below. Sorry about that. I've fixed it now, and the assignment 1 pdf file below should now be correct. Assignment 2 is now also posted below, and is due on January 24th. Finally, the T. Benny Rushing Mathematics Center tutoring begins on Monday, January 13th. I strongly encourage you to take advantage of this resource. More information is posted at the top of this webpage. See you in class tomorrow!**January 7th**- Today was our first day of class, and we covered lecture 1 from the lecture notes. Please remember that, from now on, you're responsible for printing out the lecture notes. Also, apparently there has been an error with ordering the books from the bookstore, and so there are no 2280 books available at the bookstore. An order has been placed, and the books should be available there soon. For now the lecture notes should be sufficient, but if you need a book you can use one at the tutoring center.**January 6th**- The class website is, obviously, up and running. Posted below you'll find the syllabus, schedule, the lecture notes for the first week of class, and the first assignment. I'll hand out copies of the syllabus, schedule, and first day's lecture notes tomorrow in class. If you want to read ahead, go for it! I'll see you tomorrow.

Schedule Modified Schedule

Note: The final exam for the class will be on Tuesday, April 29th from 1:00 PM to 3:00 PM.

MIT offers a similar course (Math 18.03) and the course is available on their open courseware system. There are lecture notes, assignments with solutions, and video lectures available from the website. It's pretty nice! You can check it out here. The video lectures are available here

Lecture 2 Lecture 2 with Examples

Lecture 3 Lecture 3 with Examples

Lecture 4 Lecture 4 with Examples

Lecture 5 Lecture 5 with Examples

Lecture 6 Lecture 6 with Examples

Lecture 7 Lecture 7 with Examples

Lecture 8 Lecture 8 with Examples

Lecture 9 Lecture 9 with Examples

Lecture 10 Lecture 10 with Examples

Lecture 11 Lecture 11 with Examples

Lecture 12 Lecture 12 with Examples

Lecture 13 Lecture 13 with Examples

Lecture 14 Lecture 14 with Examples

Lecture 15 Lecture 15 with Examples

Lecture 16 Lecture 16 with Examples

Lecture 17 Lecture 17 with Examples

Lecture 18 Lecture 18 with Examples

Lecture 19 Lecture 19 with Examples

Lecture 20 Lecture 20 with Examples

Lecture 21 Lecture 21 with Examples

Lecture 22 Lecture 22 with Examples

Lecture 23 Lecture 23 with Examples

Lecture 24 Lecture 24 with Examples

Lecture 25 Lecture 25 with Examples

Lecture 26 Lecture 26 with Examples

Lecture 27 Lecture 27 with Examples

Lecture 28 Lecture 28 with Examples

Lecture 29 Lecture 29 with Examples

Lecture 30 Lecture 30 with Examples

Lecture 31 Lecture 31 with Examples

Lecture 32 Lecture 32 with Examples

Lecture 33 Lecture 33 with Examples

Lecture 34 Lecture 34 with Examples

Lecture 35 Lecture 35 with Examples

Lecture 36 Lecture 36 with Examples

Lecture 37 Lecture 37 with Examples

Lecture 38 Lecture 38 with Examples

Lecture 39 Lecture 39 with Examples

Lecture 40 Lecture 40 with Examples

Lecture 41 Lecture 41 with Examples

Lecture 42

Lecture 43

Assignment 1 Assignment 1 Solutions

Assignment 2 Assignment 2 Solutions

Assignment 3 Assignment 3 Solutions

Assignment 4 Assignment 4 Solutions

Assignment 5 Assignment 5 Solutions

Assignment 6 Assignment 6 Solutions

Assignment 7 Assignment 7 Solutions

Assignment 8 Assignment 8 Solutions

Assignment 9 Assignment 9 Solutions

Assignment 10 Assignment 10 Solutions

Assignment 11 Assignment 11 Solutions

Assignment 12 Assignment 12 Solutions

Assignment 13

Assignment 14

Exam 2 Exam 2 Solutions

Exam 3 Exam 3 Solutions

Exam 2 Exam 2 Solutions

Exam 3 Exam 3 Solutions

Final Final Solutions

Exam 2 Exam 2 Solutions

Exam 3 Exam 3 Solutions

Final Final Solutions

Practice Exam 2 Practice Exam 2 Solutions

Practice Exam 3 Practice Exam 3 Solutions

Practice Exam 4 Practice Exam 4 Solutions

Practice Final Exam Practice Final Exam Solutions

Exam 1 Exam 1 Solutions

Exam 2 Exam 2 Solutions

Exam 3 Exam 3 Solutions

Exam 4 Exam 4 Solutions

Final Final Solutions

Exam 2 Exam 2 Solutions

Exam 3 Exam 3 Solutions

Final Exam Final Exam Solutions

Exam 2 Exam 2 Solutions

Exam 3 Exam 3 Solutions

Final Exam Part 1 Final Exam Part 1 Solutions

Final Exam Part 2 Final Exam Part 2 Solutions

Math 10 Fall, 2013

Math 2280 Summer, 2013

Math 2280 Spring, 2013

Math 15 Spring, 2013

Math 2270 Fall, 2012

Math 2210 Summer, 2012

Math 2210 Summer, 2010

Math 1010 Fall, 2009

Math 1210 Summer, 2009

Math 2280 Spring, 2009

Math 2210 Fall, 2008

Evolutionary Biology and Game Theory Fall, 2008

Math 2210 Summer, 2008

REU on Computational Algebraic Geometry Summer, 2008

Knot Theory Spring, 2008

Math 2280 Spring, 2008

Math 1030 Fall, 2007

Math 2210 Summer, 2007