Mathematics 200, Section 202

Calculus III

Department of Mathematics,  University of British Columbia

Prerequisites: One of MATH 101, MATH 103, MATH 105, MATH 121.

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 2:00-3:00, Tues 11:00-12:00, Fri 1:30-2:30

Class Times and Location

Text

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

Topics

  1. Vectors and the Geometry of Space (§13.1-13.6):
        Three dimensional coordinate systems,
         Vectors, dot and cross products,
         Equations of lines and planes,
         Quadric surfaces.
  2. Vector Functions (§14.1, 14.2, 14.4):
        Vector functions and space curves,
        Derivatives and integrals of vector functions,
        Velocity and acceleration.
  3. Partial Derivatives (§15.1-15.8):
        Functions of several variables,
        Limits, continuity, partial derivatives,
        Tangent planes and linear approximations,
        Chain rule, directional derivatives, gradient,
        Maximum and minimum values,
        Lagrange multipliers.
  4. Multiple Integrals (§16.1-16.8, § 13.7):
         Double and iterated integrals, polar coordinates,
         Applications, surface area,
         Triple integrals,
         Cylindrical and Spherical co-ordinates.