Every week: 3-4 pm on Tuesdays.
office: M464 Tech (across from Stair #4 and down the hall from Stair #3)
Instructor:Prof. Sarah Iams
Monday or Friday afternoons by appointment.
Immediately after class on Mondays or Fridays.
email: sarah.iams at northwestern.edu
MWF from March 31 - June 6
No meeting on Monday, May 26th
Discussion section meets on Tuesdays (Quizzes weeks 2 - 10)
Section 57: 11:00-11:50am
Successful completion of a year of single variable calculus, including integration techniques such as integration by parts and trigonometric substitution (or self study to reach proficiency in integration) along with the equivalent of one quarter of multivariable differential calculus, with topics including computing gradients and parameterizing curves.
Textbook and Resources:
Edwards and Penney, 6th edition, Multivariable Calculus.
True/False questions (as well as other resources) are available at:
WolframAlpha is helpful for graphing functions or checking your integration:
Ex: plot x^2+y^2 for 0<x<2, 0<y<4
Ex: integrate x^2+y^2 for 0<x<2, 0<y<x
You are also welcome to use a graphing calculator to check your work. Calculators will not be permitted on quizzes or exams.
Master the construction, uses, and computation of double and triple integrals of functions of two or three variables.
Understand line integrals in the plane, as well as flux through plane curves, and apply the vector calculus results of Green's theorem.
Represent surface integrals via parameterization and double integrals, and apply Stokes' theorem and Gauss' Divergence theorem.
Understanding your course notes is central to your success in this course. You should come to class having worked to understand the material presented in the previous class, and prepared with questions about any ideas that confused you To encourage you to review the material from the previous class before the next class meeting, there will be a DailyQ. This is a question posted on Blackboard at the end of each class, with the answer due prior to the next class, based on the material that has just been presented.
Weekly individual homework assignments include both required and optional exercises and problems. Exercises involve the direct application of techniques covered in your course notes or textbook examples. Mathematical ability is built through constructive practice. Grappling with challenging problems, rather than just doing exercises, will help you to develop mathematical insight. Homework is usually due at the beginning of lecture on Wednesdays.
Weekly team homework assignments include True/False, short answer, and conceptually challenging questions. These assignments are designed to offer you opportunities to articulate your conceptual understanding and to practice explaining your mathematical ideas.
Be prepared for team meetings by reviewing your notes and thinking about the problems prior to the meeting.
Listen carefully to the ideas and questions your team members present.
Ask for help when you are confused or unsure about what is being discussed.
Be patient as you work to articulate your mathematical ideas. It is your job to help your teammates understand what you are saying, and expressing your ideas clearly will take practice!
Weekly quizzes during the Tuesday discussion section, as well as three exams, will assess your conceptual understanding as well as your computational skill.
You are encouraged to work with others on your homework assignments and are required to on your team assignments. All homework submissions (both individual and team) must be in your own words, however, written without copying from joint work.
In addition, you must complete and attach the following information to each assignment:
Section (57A or 57B):
Humans consulted (including the Professor, TAs, or team members):
Internet or book resources consulted (aside from the course textbook):
Enter "None" in the appropriate locations you did not consult anyone or did not use any outside resources.
TA Office Hours (any of these TAs will be happy to meet with you):
Mondays from 2-4pm with Noah in Tech M445.
Tuesdays from 1-3pm with Sahil in Tech M461.
Homework (top 8 HW scores),
quizzes (top 7 quiz scores): 25%
Participation in DailyQ (miss up to 3),
and in team meetings: 5%
Midterm 1 (Thursday, May 1 from 6 - 8 pm): 17%
Midterm 2 (Thursday, May 22 from 6 - 8 pm): 23%
Final Exam (Tuesday, June 10 from 9 - 11am): 30%
Team assessment sheet: your team participation grade will be determined via a survey of your team members.
You are expected to attend all course meetings, meetings of your discussion section, and meetings of your team. Your presence contributes to your own learning and also contributes to the educational experience of your classmates.
I will assume that all members of the class are trustworthy in their dealings with me, with the TAs, and with their classmates. However, should a violation of this trust be discovered, it will be reported to the appropriate Dean. The goal is one of fairness to those who adhere to this standard.