Mathematics 227

Advanced Calculus II

Department of Mathematics, Undergraduate Math courses, University of British Columbia

Prerequisites.

A score of 68% or higher in MATH 226.

Instructor

Joel Feldman

E-mail	feldman@math.ubc.ca
Office	Math 221
Phone	604-822-5660
Home page	http://www.math.ubc.ca/~feldman/
Office hours	Mon 1:30-2:30, Tues 1:30-2:30, Thurs 2:00-3:00
Location of lectures	MATH 103
Time of lectures	Mon, Wed, Fri 12:00-13:00

Text

Robert A. Adams and Christopher Essex, Calculus: Several Variables (or Calculus: A Complete Course) eighth edition or any earlier edition. (Some earlier editions have Adams as the sole author.)

I will post all handouts, problem sets, etc. on the web here.

Topics

Curves (§ 11):
curves, velocity, acceleration, arc length, curvature, tangent, normal, binormal, planetary motion.
Vector Fields and Line Integrals (§ 15.1-15.4):
vector fields, field lines, conservative fields, line integrals.
Surface integrals (§ 15.5, 15.6):
surfaces, surface area, flux integrals..
Integral Theorems (§ 16):
gradient, divergence and curl, vector identities, divergence theorem, Green's theorem, Stokes' theorem, applications.
Differential forms (web notes):
General Stokes' Theorem (if time permits).

Grading

There will be two midterms (tentatively scheduled for Wednesday, February 10 and Wednesday, March 16) accounting for about 40% of the final mark.
There will be weekly problem sets accounting for about 10% of the final mark.
TThe final exam will account for about 50% of the final mark.
Grades will probably be scaled.

Policies

Students are allowed to consult one another concerning homework problems, but solutions submitted for credit must be written by the student in his or her own words. Copying solutions from another student, from the web or from any other source, and turning them in as your own is a violation of the Academic Code.
Missing a homework or midterm results in a mark of 0, unless you have a serious documented reason (an illness, a death in the family, etc.).
Missed finals are not handled by me or the Mathematics Department. Students with legitimate reasons for missing the final exam should request a "Standing Deferred" status through their Faculty.