Syllabus for MATH 2321, Calculus 3 for Science and Engineering

Northeastern University, Fall 2015

INSTRUCTOR: Chris Kottke

CONTACT INFO: office: 544 Lake Hall    e-mail: c.kottke@neu.edu

OFFICE HOURS:  TBA

TEXTBOOK: Worldwide Multivariable Calculus, by David B. Massey

PDF and printed versions available at: http://www.centerofmath.org/textbooks/multicalc/index.html

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 free Adobe Reader app. 

It is absolutely NOT required that you purchase a printed textbook.

WEB MATERIALS:  I do not use Blackboard for posting materials online. Class materials may be found on my own web site: http://www.northeastern.edu/ckottke/2321/

HOMEWORK AND QUIZZES: Homework will be assigned daily, but will not be collected.  At the beginning of class each Thursday (other than the first Thursday and the Thursdays of the midterm exams), there will be a short quiz taken verbatim from homework exercises from the previous Wednesday, Thursday, Monday. Homework assigned on the day before the quiz will not be on that Thursday's quiz. We will not have time to go over all homework questions in class. Thus, if you have a lot of questions on the homework, it will be essential for you to come to my office hours, make special appointments to see me, go to our TA’s office hours, or go for tutoring in the Mathematics Department or in the College of Engineering.

MIDTERMS AND FINAL EXAMS: here will be two midterm exams, and a final exam in this course. The midst-term exams are 65-minute in-class exams; they will be on Thursday, Oct. 15 and Thursday, Nov. 19. On the midterm exams and final exam, you may use one 8.5x11” one-sided sheet of notes.

The final exam date is to be determined. Check for exam schedule conflicts before Oct. 1.

SNOW DAYS: If classes are cancelled due to snow, or for other official reasons, any scheduled quiz or midst-term exam will occur on the next class meeting.

GRADING: The course grade will be determined as follows:
Final exam: 40%
Midterm exams: 40%  (20% each).
Quizzes: 20%. I will drop your worst quiz grade.

Letter grades are determined numerically

A ≥ 93 ,    92 ≥ A-  ≥ 90,      89 ≥  B+ ≥ 87,    86 ≥  B ≥ 83,     82 ≥ B-  ≥ 80,      79 ≥  C+ ≥ 77,    76 ≥  C ≥ 73,     72 ≥  C-  ≥ 70,    69 ≥  D+ ≥ 67,    66 ≥  D ≥ 63,     62 ≥  D-  ≥ 60,      F ≤ 59

The total numerical grade for the course (0.4*Final + 0.2*Midterm1 + 0.2*Midterm2 + 0.2*Quizzes) will be curved by median adjustment (adding an overall constant to bring the median up to a B-, if necessary) at the end of the semester. Individual quizzes and exams will not be separately curved, though I will give you some idea of how the curve is looking as the semester progresses.

COURSE TAs:

Jonier Antunes, 575 LA, office hours: MWF 1:30-2:30pm

Vasileios Aravantinos-Sotiropoulos, 527 NI, office hours: W 6-7pm and F 9-11am

Xu Sun, 563 LA, office hours: TTh 4:45-6:15pm

RECITATION SESSIONS:

Mondays, 5-6:40pm, 11 KA, Xu Sun

Tuesdays, 1:35-3:15pm, 19 International Village, Vasileios Aravantinos-Sotiropoulos

Wednesdays, 2:50-4:30pm, 291 RY, Jonier Antunes

ADDITIONAL RESOURCES: 

The Mathematics Department Tutoring Center is in Room 540B, Nightingale Hall. This peer tutoring is free. Peer Tutoring appointments can be booked via MyNEU under TUTORING. Although you can walk in, it is really best to sign up in advance. Tutoring requests are scheduled by students in real-time and confirmed by email. Next-day appointments must be booked by 9:00 pm the previous day. It is expected that tutoring services in the Mathematics Department Tutoring Center will begin shortly after the start of classes. See http://www.northeastern.edu/csastutoring/setting-up-appointments/ For more information about peer tutoring.
 
The College of Engineering also provides tutoring for Calculus. See http://www.coe.neu.edu/coe/undergraduate-support/tutoring 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 directly by going to: http://www.centerofmath.org/videos/index.html#subject5 . 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.

An independent video-tutoring company, Kahn Academy, has produced a large collection of free, short video tutorials and examples on many topics, including Calculus; the url is http://www.khanacademy.org/ . 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  .

Schedule of Topics and Suggested Homework Exercises

Week 1 (partial): Sept. 9-11

Review §1.2  R^n as a vector space  #1,  3, 5, 7, 9, 10, 13-16, 19-21, 23-24, 27, 29, 33, 36, 41-43, 45, 46  +  §1.3 Dot product, angles, and orthogonal projection  #1-4, 9-12, 17-19, 22, 23, 27-30, 33-35, 45-48

Review §1.4 Lines, planes, and hyperplanes  #1-4, 9-12, 13-17, 19, 21-23, 27-30  +  §1.5 Cross product  #1-4, 9-12, 17-20, 27-29, 31, 35, 37, 41

Week 2: Sept. 14-18

Review §1.6 Functions of a single variable  #1, 4, 5, 7, 9, 10, 18, 19, 21-25, 29, 33-35

§1.7 Multivariable functions  #1, 2, 4, 7-10, 15, 17-19, 21, 27, 28

§1.8 Graphing surfaces  #1-10, 11-15, 19, 20, 23, 25

Week 3: Sept. 21-25

§2.1 Partial derivatives  #1, 2, 5, 7, 13, 16, 18, 19, 22, 27, 29, 32, 34

§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

Week 4: Sept. 28-Oct. 2

§2.5 Directional derivatives  #1, 3, 5-7, 11-13, 19-21, 25-27, 33-35, 37

Tuesday, Sept. 29: last day to withdraw without a W

§2.7 Level sets and gradient vectors  #1-3, 7-13, 17, 18, 21, 24

Thursday, Oct. 1: last day to file a final exam conflict form

§2.8 Parameterizing surfaces  #1-3, 5, 9-11, 17-19, 21, 29, 30

Week 5: Oct. 5-9

§2.9 Local extrema  #1-6, 9-14, 17-20, 35

§2.10 Optimization  #1, 2, 7, 8, 9, 10, 13, 17, 19, 20

§2.11 Lagrange multipliers #1, 3, 12, 13, 15, 19, 23, 27, 29

Week 6 (partial): Oct. 12-16

Monday, Oct. 12: Columbus Day - no classes

Review

Test 1

Week 7: Oct. 19-23

§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 8: Oct. 26-30

§3.4 Integration in R^3 and R^n  #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

Week 9: Nov. 2-6

§3.8 Density and mass  #1, 2, 7-10

§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

Week 10: Nov. 9-13

§4.2 Line integrals  #1-3, 7, 8, 15, 16, 18-20, 23, 25, 27

Wednesday, Nov. 11: Veterans’ Day - no classes

§4.3 Conservative vector fields (1st day) #1-3, 7-9, 15-17, 23, 24, 27, 33, 35, 41, 43

Week 11: Nov. 16-20

§4.3 Conservative vector fields (2nd day) #1-3, 7-9, 15-17, 23, 24, 27, 33, 35, 41, 43

Review

Test 2

Week 12 (partial): Nov. 23-27

§4.4 Green’s Theorem  #1, 3, 5, 7-9, 13, 15 

Wednesday, Nov. 25-27: Thanksgiving break - no classes

Week 13: Nov. 30 - Dec. 4

§4.5 Flux through a surface  #1, 2, 7, 9, 10, 11, 15, 19, 20

§4.6 The Divergence Theorem   #1-4, 6-11

§4.7 Stokes’ Theorem   #1, 2, 5, 6, 9, 10, 17

Week 14 (partial): Dec. 7-9

Review

Thursday, Dec. 10: last day to withdraw with a W

Thursday, Dec. 10: reading day

Friday, Dec. 11- Friday, Dec 18: final exams