Instructors :
Section 01: Dan Abramovich
Office: Kassar-Gould 114
Telephone: (401) 863 7968
E-mail: abrmovic@math.brown.edu
Preliminary Office hours: Monday, Friday 2:00-3:00; Wednesday, Friday
10:30-11:00
Section 02: Katherine Stange
Office: Kassar-Gould 18
Telephone: (401) 863-3560
E-mail: stange@math.brown.edu
Preliminary Office hours: Monday 2:00-3:00, Wednesday 2:30-3:30
Course web page:
http://www.math.brown.edu/~abrmovic/MA/s0405/18/
Mailing lists: ma018s1@math.brown.edu, ma018s2@math.brown.edu
Discussion meeting Tuesday at 6:30-7:50, foxboro auditorium
Kassar room 125.
Teaching assistant: S. Bhat
Prerequisites: Math 10 or 17, or a 4 or 5 on the
AP Calculus BC Exam. For more detailed placement questions, please
consult
http://www.math.brown.edu//mathguide.html.
Attendance: You should attend every lecture and go to the recitation
section each week. Should you miss a lecture or a recitation, even if
you have a good reason for doing so, like an emergency or religious
observance, you are still responsible for knowing the content of the
lecture, including organizational matters such as changes in homework
assignments or exam dates.
Where to go for additional help :
The Math Resource Center helps students with calculus,
both with homework problems and with concepts from lecture.
Drop in help is available
in Kassar House, Room 105, Monday-Thursday 8:00 PM - 9:50 PM.
Look for updates on http://www.math.brown.edu/mrc.html
Text: Multivariable Calculus, by J. Stewart, 5th edition. We
will cover material in chapters 13-17.
Questions are always welcome, in class and office hours. The discussion session (once up and running) is a natural place to ask questions about the homework; our office hours give you a chance to ask any question about the course. You can regularly get free tutoring and great help in solving homework problems at MRC (see above). This is especially inportant in view of the fact that the discussion session is only one hour!
Homework is given every class. Will be collected regularly. Homework for a given week is collected in class on the following Thursday/Friday, hopefully beginning the second week of the semester, but watch for updates. Grades will be given and comprise 20% of your final grade, so take it seriousely! You are encouraged to discuss homework problems with other students or with the instructor or teaching assistant, but the solution you right must be yours. A tutor must not solve your problems! We recommend doing your homework right after the relevant class. No late submissions accepted. No makeup homemworks: the lowest two homework grades will be dropped prior to calculating the homework grade. We strongly recommend doing many more excercises for yourself regularly.
Complete solutions must be submitted. A numerical answer is insufficient without the steps that led to it. You must provide such steps even if your calculator or computer can do it all for you! In fact, most of the assigned problems will have solutions in the back of the book, so the whole point is the complete solution. Homework must be written (or printed) out legibly. You must write your name on your homework (preferably on every page), and staple the pages together.
Homework will hopefully be announced via e-mail and posted on the class web page. If you do not have a Brown e-mail address, or your registration has not been finalized, you may want to send me your current e-mail address so that we can add you to the mailing list.
Essay assignment: There will probably be an extra credit essay assignment. Watch for details.
Exams (midterm schedule subject to changes):
Quizzes: We may occasionally announce that a quiz will be given during the discussion session or class. Such a quiz will take around 15 minutes.
Calculators are not required. If you wish to get a calculator, it is recommended that you get one with at least the power of a TI 86. There are many exercises in the book where you are asked to use a graphing calculator or computer. These are not required in your homework, but if you are using a calculator or a computer you may find them helpful. In all cases, you can replace a calculator by using a computer algebra systrem such as Mathematica, Maple or Matlab which are available on the campus computers.
Grading:
Your grade will be computed based on the homework (20%), the two midterm exams (25% each) and the final (30%).
Standard Academic Conduct Statement: Your conduct in this course, as with all courses, is governed by the Brown Academic Conduct Code, http://www.brown.edu/Administration/Dean_of_the_College/academic_code/code.html .
The general rule: you may discuss your assignments with classmates, instructors, math resource center tuturs, etc., but the submitted assignment must be worked out in writing by you alone. Exam work is strictly individual and you may only consult material which is explicitly approved by the instructor. If you have any doubt about any aspect of academic conduct, ask.
| Dates | Topic and reading |
| Sep 7-10 | Introduction, coordinates and vectors 13.1-13.2 |
| dot product 13.3 | |
| Sep 13-17 | cross product 13.4. Play with the Cross Product Applet. |
| lines and planes 13.5 | |
| some surfaces 13.6 | |
| cylindrical and spherical coordinates 13.7 (11.3) | |
| NOTE: ROSH HASHANA Th-Fr | |
| Sep 20-24 | vector functions and space curves 14.1, 14.2 (11.1) |
| motion in space 14.4 | |
| arc length 14.3 (11.2) | |
| Sep 27-Oct 1 | Functions of several variables 15.1 |
| limits and continuity 15.2 | |
| partial derivatives 15.3 | |
| NOTE: SUKKOT Th-Fr | |
| Oct 4-8 | tangent planes, differentials, linear approximation 15.4 |
| EXAM I Oct 5 (Tuesday) | |
| the chain rule 15.5 | |
| directional derivatives and gradient 15.6 | |
| NOTE: SUKKOT Th-Fr | |
| Oct 11 | Monday Holiday: COLUMBUS DAY |
| Oct 12-15 | minimum and maximum problems 15.7 |
| Lagrange multipliers 15.8 | |
| double integrals 16.1/16.2 | |
| Oct 18-22 | Double integrals on general regions 16.3 |
| integrals in polar coordinates 16.4 | |
| applications 16.5 | |
| Oct 25-29 | surface area 16.6 |
| triple integrals 16.7 | |
| change of variable 16.8/16.9 | |
| Nov 1-5 | vector fields 17.1 |
| line integrals 17.2 | |
| Nov 8-12 | independence of path 17.3 |
| EXAM II Nov 10 (Wednesday) | |
| Green's theorem 17.4 | |
| Nov 15-19 | curl and divergence 17.5 |
| parametric surfaces 17.6 | |
| Nov 22-23 | surface integrals 17.7 |
| Nov 24-26 | THANKSGIVING RECESS |
| Nov 29-Dec 3 | Stokes's theorem 17.8 |
| Gauss's divergence theorem 17.9 | |
| Evaluation forms |