Professor: Dan Abramovich
Office: Kassar 118
Telephone: (401) 863 7968
E-mail: abrmovic@math.brown.edu
Web site: http://www.math.brown.edu/~abrmovic/MA/s1920/35/index.html
Office hours: Monday 3:00-4:00; Wednesday 10:00-11:00; Friday 9:15-10:00
Canvas: direct link.
Text:
Vector Calculus
Jerrold E. Marsden and Anthony Tromba
W. H. Freeman; Sixth Edition (December 16, 2011)
ISBN-10: 1429215089 | ISBN-13: 978-1429215084
Goals: Mastery, with conceptual depth, of differential and integral calculus in sevaral variables and of the key theorems of vector analysis in dimensions 2 and 3.
Prerequisites and non-prerequisites. Students entering math 350 are required to master one-variable calculus at least at the level of AP calculus BC or math 100/170/190 at Brown. Linear algebra is not a prerequisite, and more importantly, Multivariable calculus is not a prerequisite for math 520 or 540.
Homework: reading and problems assigned on Canvas. Assignment will come in two kinds:
It is the student's responsibility to know which rules govern each assignment and to adhere to the university's academic conduct code.
Teaching Assistant: Keith Richie. Schedule to be determined.
I will not be available September 13 and 30, October 9 and 18, and November 23, but class will meet on those dates and through reading period.
Comparison and relationship of courses
Comparison with math 180: Math 350 being the honors multivariable course,
the emphasis here is less on computations and more on depth and concepts than math 180.
(I will assign exercises for you to gain computational mastery on your own.)
Also, examples from "the real world" are treated as motivation rather than a central theme.
The mathematical world is not limited to three dimesnions!
Comparison with math 200:
Math 200 aims to tie every math concept with applications in physics and engineering.
There is no attempt to follow all the connection here -
in math 350, it is hoped that students will appreciate mathematics on its own terms.
Relationship with math 1010: That's our first truly proof-based mathematical analysis course,
redoing one-variable calculus "the right way".
In math 350 I will provide proofs, which I expect you will enjoy immensely,
but the methodology of the course will not be centered around generating proofs.
Relationship with math 540: That's our honors linear algebra course,
which is the first truly proof-based course (or at least one of them).
You can take the courses in any order. You would likely enjoy taking both at the same time
(however your advisor might insist you diversify your courses).
Exams:
Credit hours and estimate of work load.
We have 38 regular classes, 2 hour exams in class, and one final exam of 3 hours,
totalling 43 hours in person.
Different students require different amount of time for reading, assignments and preparation,
but I expect there will be about 10 hours per week over 11 weeks of reading and assignments,
totalling 110 hours, and 40 hours of exam preparation spread over three exams,
totalling 150 hours outside class.
This very rough estimate totals in 193 hours of time commitment.
While this may seem on the heavy side, it is consistent with students' assessment that mathematics courses, especially those requiring both computational and conceptual mastery, are demanding. Students also agree that consistent work through the term is essential for enjoying the class.
Grading. I expect to use the following: Homework 15%, midterms 22.5% each, final 40% of grade.
While attendance is not computed in the grade, attendance is expected. If you expect this to be an issue, you must discuss it with me as soon as the issue arises.