Mathematics 227

Advanced Calculus II

Department of Mathematics Undergraduate Math courses University of British Columbia



Joel Feldman

 Office  Math 221
 Phone  604-822-5660
 Home page
 Office hours   Mon 1:30-2:30, Tues 11:00-12:00, Thurs 2:00-3:00


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

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


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