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Math 2321

Calculus III for Science & Engineering

Summer I 2015

Instructor: Dr. Sumi Seo
Office: 535 NI (Nightingale Hall)
Phone: 617-373- 2080
Email: s.seo@neu.edu
Office Hours: TWR 12.15 – 1.15 pm, or by appointment
Textbooks: Worldwide Multivariable Calculus, by David B. Massey
PDF and printed versions available at: http://www.centerofmathematics.com/wwcomstore/index.php/
The PDF is priced at $9.95, while the black and white (grayscale) soft-back printed version is $29.95. The PDF textbook contains a link, at the beginning of each section, to one or more free video lectures, by Prof. Massey, on the contents of that section. The PDF has hyperlinked Tables of Contents, Indices, and cross-references; you may need to activate the Forward and Back buttons in your PDF viewer to take full advantage of the hyperlinks. To use the textbook on an iPad, we recommend the GoodReader app.
It is absolutely NOT required that you purchase a printed textbook.
Web Materials: All class announcements, material, and grades will be posted on Blackboard.
Homework and Quizzes: No homework will be collected. We will have quizzes on Thursdays (at the beginning of the class) starting from the first week. The quiz in the last week will be given on Wednesday. No quiz will be given in the mid-term exam week. Ordinarily there will be no make-up quizzes; instead, I will drop the one lowest quiz score. A missed quiz will be counted in the dropped lowest score. There may be exceptions to this policy for students due to their participation in university sponsored activities. Students should confer with me about such circumstances as far in advance as possible.
Mid-term exam and Final exam: There will be a mid-term exam, and a final exam in this course. One mid-term exam is a
100-minute in-class exam; it will be on Thursday, June 11. In the rare event that a student misses a test due to a university sanctioned absence or religious observances, the final exam score will be counted in place of the test that was missed. The two hour, common, commonly graded, final exam will count as 40% of your grade in this course. You must take the final exam during the time it is scheduled unless you have a registrar-created conflict. Check for final exam schedule conflicts as soon as possible. Only two finals at the same time or three in one day is a University recognized legitimate reason to be excused from taking the final at the scheduled time. Students with such a conflict should complete a final exam conflict form, available on the registrar’s website. Do not make travel plans that conflict with the exam. There is no make-up for the final. Grading:

Final Exam:
Midterm:
Quizzes:

40%
30%
30%

Letter grades are determined from the numerical grades as follows:
A: 93-100,
A-: 90-92,
B+: 87-89,
B: 83-86,
C: 73-76,
C-: 70-72,
D+: 67-69,
D: 63-66,
Border line grades are determined by the final exam score.

B-: 80-82,
D-: 60-62,

C+: 77-79,
F: 0- 59

As a matter of Math Department policy, the I grade (incomplete) will be given only rarely. It is intended to cover real emergency situations in which a student who is doing reasonably well (C- or better) is unable, due to circumstances beyond the student's control, to complete all course requirements (e.g., is unable to take the final exam due to hospitalization). An I may not be used to rescue a failing grade, or to postpone the final.
Attendance: You are expected in class each day. If for some reason, you are unable to come to a class, then (if possible) please send an e-mail to let me know.
Recitation Meetings & TA’s Office Hour:
Times: Wednesday 3:30-4:30 pm
Room: 215 Shillman Hall
TA: Yinbang Lin, lin.yinb@husky.neu.edu
TA’s office hour: Tuesday 4-5 pm in 563 LA (but 6-7 pm during the first two weeks)

Additional resources:
The Mathematics Department Tutoring Center is in Room 540B, Nightingale Hall. This is walk-in tutoring; no appointment is necessary. See http://www.math.neu.edu/undergraduate-program/mathematics-tutoring-services. You can sign-up for appointments on http://neumath.mywconline.com. However, even if the schedule looks booked, you can still drop-in for help. If there is a discrepancy between how the tutors present material and how your instructor presents material, you should follow your instructor’s presentation, but you should discuss the matter with your instructor. Summer 1 tutoring will start on May 6 th. Tutoring hours are
Mon-Wed 11-7 and Thursday 11-1.

The College of Engineering also provides tutoring for Calculus. See http://www.coe.neu.edu/coe/undergraduate/studentservices/tutoringinCOE.html for details.
The PDF textbook contains links at the beginning of each section to online full-length, free, video lectures on the contents of that section. These videos can also be accessed by going to www.centerofmath.org . In addition, there are video solution links for select exercises. If there is a discrepancy between how the videos present material and how your instructor presents material, you should follow your instructor’s presentation, but you should discuss the matter with your instructor.
Issues with the Course/Instructor If you have issues with this course and/or instructor which you are not comfortable discussing with your instructor, you should contact the Teaching Director, Prof. Massey, at d.massey@neu.edu.
Academic Honesty: Cheating will not be tolerated. All incidents of cheating will be reported to the Office of Judicial
Affairs. The University's policy on cheating and related disciplinary actions are detailed in the Student Handbook and at the following web site (see http://www.northeastern.edu/osccr/academicintegrity).
Computers, Calculators and Cell-phones: Computers and calculators may be referenced during class with the permission of your instructor. Cell phones must be turned off during the class, especially during quizzes and exams.
Some Important Dates:
May 24 Sunday is the last day to drop a class without a W grade.
June 2 Tuesday is the last day to file a Final Exam Conflict Form.
June 15 Monday is the last day to drop a class with a W grade.
Final Exam period: Monday, June 29 – Tuesday, June 30, 2015

Additional Important Things:
1. Any student with a disability is encouraged to meet with the instructor during the first week of classes to discuss accommodations. The student must bring a current Memorandum of Accommodations from the Disability Resource Center
(DRC).
2. If you are an athlete and have conflicts with an important class activity (quiz, mid-term, or final), you should let your instructor know before the end of the first week of classes. You should also bring an official letter from the Office of
Athletics.
3. Syllabus is subject to change. It is your responsibility to be aware of any changes the instructor may make to the syllabus as they are announced in class. Students are responsible for all information given when they are absent.
4. Please complete the TRACE evaluations at the end of the course.

Schedule of Topics and Suggested Homework Exercises

Week 1: May 11 - 14
Day 1: Review Dot product, Lines, Planes, Cross product, Multivariable functions, and Partial derivatives
§1.8 Graphing surfaces #1-10, 11-15, 19, 20, 23, 25
§2.3 Linear approximation, tangent planes, and the differential #1, 3, 5, 6, 11, 12, 15, 17, 22, 23
§2.4 Differentiation rules #1-4, 8, 19, 20, 23, 25, 27, 31, 32
§2.5 Directional derivatives #1, 3, 5-7, 11-13, 19-21, 25-27, 33-35, 37
Week 2: May 18 – 21
§2.7 Level sets and gradient vectors #1-3, 7-13, 17, 18, 21, 24
§2.8 Parameterizing surfaces #1-3, 5, 9-11, 17-19, 21, 29, 30
§2.9 Local extrema #1-6, 9-14, 17-20, 35
§2.10 Optimization #1, 2, 7, 8, 9, 10, 13, 17, 19, 20
Week 3: May 25 – 28
Monday, May 25, Memorial Day, no classes
§2.11 Lagrange multipliers #1, 3, 12, 13, 15, 19, 23, 27, 29
§3.1 Iterated integrals #1, 3, 4, 5, 9, 16, 17-24, 27, 28
§3.2 Integration in R^2 #1-3, 6-8, 17, 18, 23, 24, 27-29, 31-33
§3.3 Polar coordinates #1-7, 17
Week 4: June 1 - 4
§3.4 Integration in R3 and Rn #1, 3, 6, 7, 9, 11, 13, 14, 16-18, 20
§3.5 Volume #1-3, 9-11, 17, 18
§3.6 Cylindrical and spherical coordinates #1-3, 7-9, 13-15, 19-21, 25-27, 31, 32, 35, 36
§3.8 Density and mass #1, 2, 7-10
Week 5: June 8 – 11
§3.11 Surfaces and area #1-3, 9, 11-13, 15-17, 19-21
§4.1 Vector fields #1, 3, 7, 8-14, 17, 18, 21, 22, 26-28
§4.2 Line integrals #1-3, 7, 8, 15, 16, 18-20, 23, 25, 27
Review
Mid-term exam on Thursday June 11
Week 6: June 15 – 18
§4.3 Conservative vector fields #1-3, 7-9, 15-17, 23, 24, 27, 33, 35, 41, 43
§4.4 Green’s Theorem #1, 3, 5, 7-9, 13, 15
§4.5 Flux through a surface #1, 2, 7, 9, 10, 11, 15, 19, 20
Week 7: June 22 – 25
§4.6 The Divergence Theorem #1-4, 6-11
§4.7 Stokes’ Theorem #1, 2, 5, 6, 9, 10, 17
Review for the final exam
June 29 – 30 final exam

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