# Math 251 (Multivariable Calculus), Sections 1-6 and 10-11, Fall 2009 (Rutgers University)

http://sites.math.rutgers.edu/~zeilberg/math251_09.html
Last Update Jan. 10, 2010.

Note: this webpage is specific for Sections 1-6 and 10-11. For general information, and the Maple labs. see http://sites.math.rutgers.edu/courses/251/math251.html (Math 251 General Information) .

Added Dec. 26, 2009: Here are the Have a great break!
Added Dec. 26, 2009: Period 2 (Sections 1,2,3,10) Class Top Final Exam scorers (out of 200)
• MAIA SAITO: 196
• VINCENT LUO: 195
• PANCHAL BHAUMIK: 195
• SAARTH SHAH: 194
• NICOLE KENT: 190
• ALLANAH MILLER:190

Period 3 (Sections 4,5,6,11) Class Top Final Exam scorers (out of 200)

• JOHN WU: 199
• KIN CHEN: 198
• ALEXANDER NIZIOLEK: 191

Added Nov. 29, 2009: You are welcome to start practicing for the Final by trying out the two Final exams from three years ago. (Note: please do not peek at the solutions until after you have done it yourself). The format of this semester's Final Exam will be similar except that it will contain twenty questions rather than sixteen.

Note: The best guarantee for success is knowing how to do every single type of problem. While most types show up below, some don't, and they may very well come up in this semester's exams. For example, finding the absolute maximum and minimum of a multivariable function in a bounded region (problem 14.7b handout 14.7), or sketching a vector-field.

Added Nov. 25, 2009: Here are

Added Nov. 23, 2009: You are welcome to join the Second Chance Club .
Added Nov. 18, 2009 about Exam II: You are allowed to prepare a 5'' by 7'' index card with formulas taken from the section summaries in your own handwriting. You can use both sides. No Calculators!

Added Nov. 2, 2009: As you know from the (modified) class schedule, Exam II is coming up on Nov. 19, 2009. It will take place in the classroom, at the usual class-time. Here are

Note: You are allowed to prepare a 5'' by 7'' index card with formulas taken from the section summaries in your own handwriting. You can use both sides.

Added Oct. 14, 2009: Students who performed poorly in Exam I are stronlgy encouraged to participate in the Volunteer Peer Tutors Program .
Added Oct. 14, 2009: Here are

Note: You are allowed to prepare a 5'' by 7'' index card with formulas taken from the section summaries in your own handwriting. You can use both sides, but I recommend that you leave room for the stuff for Exam II and the Final, so it is wise to only use one side. You can also add values of trig functions.

TEXT: Calculus, Early Transcendentals, Custom Edition for Rutgers University, 2008, by Jon Rogawski. W.H. Freeman, ISBN-10:0-7167-7267-1.

## Professor

Dr. Doron ZEILBERGER ("Dr. Z") [Office: Hill 704; E-mail: zeilberg at math dot rutgers dot edu [Note: You MUST have CalculusIsFun in the message] ; Office hours: by appointment only.]

## Teaching Assistants

• Sections 1-3: Ms. Padmini MUKKAMALA [Office: Hill 608 (732-445-2390x8046); E-mail: mukkamal at math dot rutgers dot edu; Office hours: Tu 2:00-4:00pm ].
• Sections 4-6: Mr. Nic TRAINOR [Office: Hill 508 (732-445-2390x8015); E-mail: trainona at eden dot rutgers dot edu; Office hours: Tu. 2pm-3pm, Th. 2pm-3pm].
• Sections 10-11: Ms. Vicky KAISER [Office: ECE119 (732-445-8364); E-mail: vlkaiser at eden dot rutgers dot edu; Office hours: Tu. 2pm-3pm, Th. 2pm-3pm].

## Times and Places

• Sections 1-3 and 10: MTh2, SEC(Busch Campus) 118.
• Sect. 1 recitation: T1, SEC 217.
• Sect. 2 recitation: T2, SEC 212.
• Sect. 3 recitation: T3, ARC 207.
• Sect. 10 recitation: T2, SEC 206 .
• Sections 4-6 and 11: MTh3, SEC(Busch Campus) 117.
• Sect. 4 recitation: F1, ARC 108.
• Sect. 5 recitation: F2, ARC 204.
• Sect. 6 recitation: F3, ARC 206.
• Sect. 11 recitation: F2, SEC 204.

## Free Tutoring for all of Dr. Z.'s Sections (in lieu of office hours)

• Mondays 9:00-10:00am, SEC 117
• Thursdays 9:00-10:00am, SEC 209
GRADE: The max. number of points is 500, with the following breakup.
• Input from Recitation Leader (on his/her discretion, some combination of Maple workshops and quizes) 100 points.
• 2 Midterm Exams: 100 points each.
• Final: 200 points.
460-500: A ;   430-459: B+ ;   400-429: B ;   370-399: C+ ;   325-369: C ;   280-324: D ;   0-279: F . No Curve!.

VERY IMPORTANT:

• Attendance is strictly mandatory and enforced!
• No cell-phones!
• It is also mandatory to take notes of everything I say in class. Please buy a SINGLE-SUBJECT notebook, and write on the cover: Calc III Classnotes. Also write your name and E-mail (in case it gets lost). Don't use it for any other subjects.
• Also prepare a brown envelope and title it: Calc III Homework. The homework is to be inspected by the Recitation Leader. It will not be graded carefully, but the Recitation Leader's weekly quiz will contain homework-style problems, so if you do all your homework, you should ace the quiz.
• Take careful notes during the lectures (and recitations, of course, but use a different notebook for that), and do all the homework.
• If you have a justified absence, then in your notebook, in the space where you would have taken classnotes, date it, explain why you were absent (e.g. tape-in doctor's note, or a signed statement: "I swear on my honor that I felt so bad that I couldn't make it"), and then in your own handwriting copy all the worked-examples from the corresponding section(s) of the book.
• Every lecture will end with a 10-minute informal "quiz", asking you to do some problems covered in that day's class. It doesn't count towards the grade, but I use it first, to check attendance (it is more efficient than calling 90 names), but more important, to make sure that you know how to do the problems, and in case that many people didn't get it, I'll try to do a better job in reviewing it. After each lecture I will send E-mail to everyone, with the complete solutions, and you should decide whether or not you got it right. If you didn't, you should make every attempt to come to the next free tutoring session (Mondays 9:00-10:00am, SEC 117, Thursdays 9:00-10:00am, SEC 209).

## Lecture Schedule (Revised Nov. 6, 2009)

```                       ;   Th 9/3: 12.1, 12.2

Tu 9/8: 12.3, 12.4     ;   Th 9/10: 12.5

M 9/14: 13.1, 13.2     ;   Th 9/17: 13.3, 13.4, 13.5

M 9/21: 14.1, 14.2     ;   Th 9/24: 14.3, 14.4

M 9/28: 14.5           ;   Th 10/1: 14.6

M 10/5: 14.7           ;   Th 10/8: EXAM 1 (through 14.6)

M 10/12: 14.8          ;   Th 10/15: 15.1

M 10/19: 15.2          ;   Th 10/22: 15.3

M 10/26: 12.7, 15.4    ;   Th 10/29: 15.5

M 11/2:  16.1          ;   Th 11/5: 16.2

M 11/9: 16.3           ;   Th 11/12: 16.4

M 11/16: Review        ;   Th 11/19: EXAM II (through 16.3)

M 11/23: 16.5          ;   Th 11/26: Thanksgiving

M 11/30: 17.1          ;   Th 12/3:  17.2

M 12/7:  17.3         ;   Th 12/10: Review

M 12/14: 4:00pm-7:00pm: Marathon review, SEC 118 (Note time  change).

```

Note: The classes on Sept. 28, 2009 were kindly taught by Dr. Luis Medina (2nd period) and Mr. Andrew Baxter (3rd period). The Attendance quizes were given as usual. All justified absences should have been made up, as usual.

Maple Labs (for Ms. Mukkamala)

• Maple Lab 1 (assigned the week of 9/21, due the week of 10/5)
• Maple Lab 2 (assigned the week of 10/5, due the week of 10/19)
• Maple Lab 3 (assigned the week of 10/19, due the week of 10/31)
• Maple Lab 4 (assigned the week of 10/31, due the week of 11/14)
Maple Labs (for Mr. Trainor):