Honors Multivariable Calculus – Mathematics 0350 (S02 - 15364)
Brown University – Fall, 2014
Professor Joseph Silverman

Text Vector Calculus Jerrold E. Marsden and Anthony Tromba
W. H. Freeman; Sixth Edition (December 16, 2011)
ISBN-10: 1429215089 | ISBN-13: 978-1429215084
Office Mathematics Department, Kassar House, Room 202
Phone 863-1124
Email jhs@math.brown.edu
Web Site www.math.brown.edu/~jhs/MA0035/MA0035HomePage.html
Office Hours Monday 2:30–3:30 PM and Friday 1:30–2:30 PM
Course Time MWF 10:00–10:50 AM (C Hour)
Course Location Foxboro Auditorium (Kassar House)
Homework
Assignments 		The reading and homework assignments, including due dates, are listed on the following web page. Homework is generally due on Wednesday, but check carefully, because some assignments are due on Mondays due to holidays or exams:
Click here to go to the Math 0350 Homework Page.
Problem Sessions
and Homework Pickup 		You can pick up your homework and ask questions at the two grader-run problem sessions. If you can't make those, then pick up your HW during office hours. The sessions start on Monday September 29 and are on:
  • Mondays, 9:00–9:50am, Kassar 105
  • Thursdays, 4:00–4:50pm, Kassar 205
IMPORTANT MA350
INFORMATION 		Math 350 is the honors version of multivariable calculus. It is a fast-paced theoretically oriented course. We'll be covering lots of interesting material, but you should be prepared to spend a lot of time on this course. There will be challenging problems that require you to work hard, be frustrated, put them aside for a few hours or days, and then come back to them. You should work on each assignment before the next class. If you leave the problem sets until the last day before they're due, you're setting yourself up to do poorly in this class.
      Calculus is a very important subject, both for its use in theoretical mathematics and for it applicability in the real world. So the computational side of calculus is quite important, but due to time constraints, computations will not be the primary focus of the lectures in this course. Homework sets will consist of two different sorts of problems. Some problems will be theoretical, and you'll learn to construct your own proofs. These will generally build on material that we've covered in class. Other problems will ask you to gain familiarity with computational aspects of the subject that we discuss only briefly in class.
Important
Information
about
Homework 		NOTE: The problem sets are challenging. Don't leave them until the last minute! We will be moving rapidly. In order to learn the material, it is very important to DO THE HOMEWORK WHEN IT IS ASSIGNED.
  • Late homework will NOT be accepted. There are NO exceptions to this rule. (One or two missing homeworks is unlikely to affect your grade, and it's an imposition on the grader to have to go back and grade late homeworks.)
  • Homework must be stapled with your name legibly written at the upper right of the first page, and all problems must be clearly labeled. It is due at the start of class.
  • Homework should primarily be done on your own. If you work with someone else in the class, you must indicate who you worked with. Further, you are not allowed to get help from students not in the class, nor may you search or ask for solutions on the internet. Doing so is a form of plagiarism and will be treated as such. The grader and I reserve the right to do our own internet searches and compare your solutions with those that we find.
  • Out-of-class sources for help with Math 350 include my office hours and the Math Resource Center (click on the link for a description, hours of operation, etc.).

Exam Guidelines: Read these Exam Guidelines before coming to take the exams.

Final Exam Information Sheet: Click on this link to see a page describing the Principal Theorems of Vector Analysis. This page will be included as part of the final, so you don't need to memorize this material.

Dates to Remember: There will be two in-class hour exams and a final exam.

Hour Exam #1

Wednesday, October 8

In class
Exam 1 Solutions

Hour Exam #2

Wednesday, November 5

In class
Exam 2 Solutions.

Final Exam

Friday, December 12, 2014
Exam Group 18

Time: 9:30am-11:30am (2 hours)
Location: Metcalf Chemistry Auditorium
Principal Theorems of Vector Analysis (see above)
Final Exam Solutions

Grading: The course grade will be determined on the following basis:

Problem Sets

15%

Hour Exam 1

20%

Hour Exam 2

25%

Final Exam

40%
Advice for First Year Students (Click the link for some helpful advice for your first year at Brown.)

Syllabus

  1. Vectors, Matrices, Coordinate Systems
  2. Multivariable Differentiation
  3. Applications: Taylor Series, Max/Min
  4. Vector Valued Functions
  5. Double and Triple Integrals
  6. Change of Variables
  7. Line Integrals and Surface Integrals
  8. Vector Analysis (Green's, Stokes', Gauss' Theorems)

Go to Professor Silverman's Home Page.