Math 114, spring 2007, Isabel Lugo

This class is now over; I am keeping the page online as a reference. The solutions are not readable; this is intentional.

I am the recitation instructor for Math 114, lecture section 003 (professor Ludmil Katzarkov) in the spring of 2007.

The lecture for this class is on Tuesday and Thursday from noon to 1:30, in DRL A4.

The recitations for this class are as follows:

These are in DRL 4C2. You should attend your assigned recitation.

My office hours during the semester were from 11 AM to noon on Tuesdays and 3 PM to 4 PM on Thursdays, in DRL 4N27. See below for my office hours during the reading period and exam period.

Announcements:

Wednesday, May 2: This evening's review session with Dr. Katzarkov has been rescheduled and moved. It will be at 8 PM, in DRL A5.

Tuesday, May 1: The final exam is on Thursday, May 3, from noon to 2 PM, in the Chemistry Building, room 102

.

Friday, April 27: My last office hour of the semester will be Tuesday, May 1 from 12 noon to 1 PM, in my office (DRL 4N27).

Monday, April 23: I will hold an office hour this Friday (April 27) from 12 noon to 1 PM; also, as announced previously, tomorrow (Tuesday) from noon to 1 PM. As well, please feel free to e-mail me or Dr. Katzarkov with questions. I will schedule office hours next week as well; watch this space for details.
Professor David Galvin's web page includes a list of review sessions (and the office hours of his TAs). These include the following review sessions which I believe are open to all Math 114 students:


Last, Professor Alex Popa has posted answer keys (although work is not shown in these) to some of the old final exams. You'll find links to them about halfway down his web page.

Saturday, April 21: I will hold an office hour this Tuesday (April 24) from 12 noon to 1 PM. Announcements of more office hours during the exam period will follow.

Wednesday, April 18: The mean quiz grade for Monday students (the highest six of the eight quiz grades) was 47.4 of a possible 60 (79.0%), the standard deviation was 10.3 (17.2%).
The mean quiz grade for Wednesday students (the highest five of the seven quiz grades) was 41.0 of a possible 50 (82.0%), the standard deviation was 11.1 (22.2%).
The Monday sections had a quiz on the week of April 2; the Wednesday sections did not. The quiz that the Monday sections had that week was quite hard. In calculating the overall quiz grade for each student I have added 2.3% to each Monday student's grade, which compensates for this. The "47.4 out of 60" figure above does not reflect this adjustment.

Monday, April 16: As I've said a few times before, the best way to prepare for the final exam is to do old final exams. The syllabus for the course was changed slightly starting with Spring 2006, so on finals from Fall 2005 or before there may be some unfamiliar-looking questions. (In particular, there seems to have been a bit more coverage of differential equations under the old syllabus.) Final exams from the last five years are available at the department's Math 114 web page.
If you want more practice problems, look at the core problems; solutions to most of these are on this web site.

Sunday, April 15: The quiz this week is on section 18.2 (which covers undetermined coefficients), not 18.4 (which covers power series). Sorry for the confusion.

Thursday, April 12: There will be a quiz next week (April 16 or 18), on the method of undetermined coefficients (section 18.4)

. This will be (obviously) the last quiz of the semester. Those of you who have been paying close attention will recognize that the Monday sections will have had eight quizzes, and the Wednesday sections will have had seven; as promised, I will take this into account when determining overall quiz grades.

Thursday, April 12: My office hours NEXT WEEK will be as follows:

I will be holding office hours or review sessions of some sort after the end of classes but before the final exam; I will let you know when I have more details.

Tuesday, April 10: I will be holding my usual Thursday afternoon office hour (3-4 PM) this week. This will be after the exam on Thursday. If you have any questions regarding Thursday's exam, please contact me or Dr. Katzarkov by e-mail. My e-mail address is at the bottom of this page.

Monday, April 9: Solutions to the core problems from Sections 18.1, 18.2, 18.4 have been posted. (I haven't gotten around to writing up 18.3 yet, and I don't think you'll need those for the exam on Thursday, but it might be a good idea to at least look at 18.3 before the final, and I'll write up solutions to the core problems from it at some point.)

Friday, April 6: There WILL NOT be a quiz in recitation next week (April 9 or 11).

Monday, April 2: I have been informed that it is not permitted to give a quiz this Wednesday (April 4) because it is the second day of Passover. Therefore there will be no quiz in the recitations of April 4. There were quizzes in today's recitations (April 2), so as of the end of this week the Monday sections will have had one more quiz than the Wednesday sections. There may be a week in the future when there is a quiz on Wednesday but not on Monday; if not, then I will take this difference into account when calculating each student's overall quiz grade.

Sunday, April 1: There WILL be a quiz in recitation this week (April 2 or 4), on section 10.6 (linear equations). For those of you in the Monday recitations, I apologize for the late notice.

Monday, March 26: Solutions to Homework 7 have been posted. (I'm posting these earlier than I usually would in case you want to use them in reviewing for the exam.

Monday, March 26: My office hours this week will be as follows:

in DRL 4N27 (my office). If you have questions and can't make it to either of these times, please feel free to e-mail me. I will NOT be holding my usual Thursday afternoon office hour.

Saturday, March 24: Some students have asked me what the upcoming exam will cover. Dr. Katzarkov has announced this in class, and I'll reproduce it here: there will be three problems on integration, one on Lagrange multipliers, and one on ordinary differential equations.

Wednesday, March 21: Solutions to Homework 6 and to the core problems from Chapter 10 have been posted.

Wednesday, March 21: There will be no quiz in next week's recitations (March 26 or 28). This is due to the exam on Thursday, March 29. I may reschedule my Thursday office hours next week; watch here for further information.

Monday, March 19: I have posted a solution to Section 16.5, Problem 29, the problem about the spread of epidemics that I began in one of this morning's recitations.

Saturday, March 17: There will be a quiz in recitation next week (March 19 or 21), covering section 16.7 of the text (triple integrals).

Thursday, March 15: A few students have asked me about how they stand relative to the rest of the class on the quizzes.
There have been five quizzes so far, each graded out of 10 points. The mean grade on the quizzes, among all the students in the class, is 32 points; the median is 33.5. One-quarter of students have a total quiz grade of at least 39, and one-quarter have a total quiz grade of 25 or lower.
These statistics do not take into account the fact that the lowest two quiz grades will be dropped at the end of the semester.

Wednesday, March 14: Solutions to Homework 5 will be posted shortly. (If the link doesn't work, try again in a couple hours.)

Tuesday, March 6: There will be a quiz in recitation next week (March 12 or 14), covering sections 16.2 through 16.4 of the text (double integrals). Also, remember that Daylight Savings Time begins this Sunday.

Tuesday, March 6: Solutions to the core problems from sections 16.8 and 16.9 have been posted.

Wednesday, February 28: I have posted a solution to Section 15.8, Problem 38, a tricky problem involving Lagrange multipliers about which I spoke in one of the recitations this morning.

Sunday, February 25: Solutions to the core problems from sections 16.1 through 16.7 have been posted.

Thursday, February 22: There will be a quiz in recitation next week (February 26 or 28), covering sections 15.7 and 15.8.

Tuesday, February 20: I will not be holding my office hours on Thursday, February 22. I will be holding office hours tomorrow, Wednesday, February 21, from 3 pm to 4 pm instead.

Saturday, February 17: Solutions to Homework 4 have been posted. (I'm posting these earlier than I usually would in case you want to use them in reviewing for the exam next week.

Wednesday, February 14: Solutions to Homework 3 have been posted.

Tuesday, February 13: There will be no quiz next week (February 19 or 21). However, you should still do the homework as some problems on the exam (Thursday, February 22) will probably be similar to those on the homework. Bring your exam-review-related questions to recitation next week.

Wednesday, February 7: Solutions to the core problems from Sections 15.5 through 15.8 have been posted.

Wednesday, February 7: The quizzes in next week's recitations (February 12 and 14) will cover sections 15.3 through 15.5 of the text.

Thursday, February 1: There WILL be quizzes in next week's recitations (February 5 and 7). These will cover section 15.1 of the text. Also, solutions to the core problems from sections 15.1 through 15.4 of the text have been posted.

Monday, January 29: There was a bit of a misunderstanding; there will NOT be quizzes in this week's recitations. (Dr. Katzarkov said this in lecture but didn't tell me.) Also, the exam actually covers through section 14.3 (not 14.2 as previously stated), but will not cover curvature.

Sunday, January 28: Solutions to Homework 2 (the problems from Sections 14.1 and 14.2) are posted. Also, while I put up a link to solutions to Homework 1, I never actually uploaded the solutions. This is now fixed.

Friday, January 26: There WILL be quizzes in next week's recitations (January 29 and 31). The material on the quizzes will be drawn from sections 14.1 and 14.2 of the text.

Wednesday, January 24: Solutions to Homework 1 (the problems from Section 13.5) are posted.

Tuesday, January 23: My office hours for NEXT WEEK ONLY will be Monday (January 29) from 11:30 am to 12:30 pm and Thursday (February 1) from 3 pm to 4 pm. I will not have office hours on Tuesday, January 30. Note that the first exam is on Tuesday, January 30, in class; it will cover material up to and including section 14.2 of the text.

Monday, January 22: I have posted solutions to the core problems from Chapter 14 of our text; see the bottom of the page.

Monday, January 22: My office hours for this week, and for the rest of the semester unless otherwise announced, will be Tuesday from 11 am to noon, and Thursday from 3 pm to 4 pm.

Friday, January 19: The quizzes in next week's recitations (Monday, January 22 and Wednesday, January 24) will be based on the material from sections 13.3 through 13.5 of the text.

Wednesday, January 17: The error in the solution to Problem 38 of Section 13.5 has been fixed. Also, I have posted a solution to Section 13.1, Problem 40, which I spoke about in one of the recitations this morning.

Wednesday, January 17: There is an arithmetic error in the solution of Problem 38 in Section 13.5 posted below. I will post a corrected version later today.

Tuesday, January 16: I've been asked about the homework. Dr. Katzarkov named a set of problems that he asked you to do; this is the homework. The problems under "solutions to problems" at the bottom of this page are NOT the homework (though the two sets of problems may overlap); the problems at the bottom of this page are the "core problems" from the text. In general, feel free to ask about the homework or the "core problems" that the department lists in recitation; in fact, you may ask about anything related to the material of the course.

Tuesday, January 16: The policy for the quizzes will be as follows. You must take the quiz in recitation; there are no makeup quizzes. However, the lowest two quiz grades for each student will be dropped, to account for the fact that either sometimes you are unable to make it to recitation or that you may not know how to do a particular quiz. Note that there will be approximately ten quizzes, and the quizzes are worth a total of ten percent of your semester grade. Therefore, each quiz is worth about one percent of your grade; you should not worry too much about them.

Sunday, January 14: There will not be a quiz in recitation this week (Wednesday, January 17). The first quizzes will be in the recitations of Monday, January 20 and Wednesday, January 22.
Also, I have posted solutions to the core problems from Chapter 13 of our text. See the bottom of this page. I'm not sure which homework problems Dr. Katzarkov intends to assign, but the core problems will be useful for you nonetheless.

Wednesday, January 10: My office hours next week will be Tuesday (January 16) from 11 am to noon (this is immediately preceding the lecture) and Thursday (January 18) from 3pm to 4pm. My office is DRL 4N27. If you have questions before then, feel free to e-mail me at isabel at math dot upenn dot edu.
Also, some students have asked about homework. Dr. Katzarkov has told me that he will post the first homework assignment on Tuesday. If you would like some practice before then, I recommend taking a look at the core problems from Chapter 13 of Stewart. Some of these may end up on the homework, and even if they don't it will be useful to do them.
I have been informed that our textbook (Stewart, Calculus, 5th ed.) is not currently available in the bo okstore. However, it is the same text as has been recently been used in Math 103 and Math 104, so if you took either of those classes recently you already have the book. If you have not taken either of those classes recently, perhaps you can borrow the book from a friend who has. Finally, the book might be on reserve at the library.

Tuesday, January 9: I will hold an office hour TOMORROW (Wednesday, January 10) from noon to 1 PM.

Monday, January 8: I have spoken to Dr. Katzarkov. Grading will be done as follows:

I will make an effort to write up solutions to the homework assignments (or at least the problems which seem to be giving people trouble) and post them on this web site.

Monday, January 8: I will hold an office hour today from 11:30 AM to 12:30 PM, and another at a time to be determined later this week (probably on Wednesday or Thursday). My office is DRL 4N27.

Friday, January 5: Welcome to Math 114! Recitations will meet on Monday, January 8 (sections 221, 222), and on Wednesday, January 10 (sections 223, 224). I plan to cover some basic information about vectors. If you have the chance, you might read the first few sections of Chapter 13 of Stewart.

Solutions to problems

Please let me know if you find anything that appears to be an error in these solutions. They have not been edited, so there is a good chance that I have made mistakes.

Chapter 13

Chapter 14

Chapter 15

Chapter 16

Chapter 10

Chapter 18

Homework assignments

More information about the class will be posted here or on the professor's web site as it becomes available.

General information about the class is available here.

To contact me, send e-mail to isabel at math dot upenn dot edu.