Mathematics 200, Section 104
Calculus III
Course Outline

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, Thurs 2:00-3:00
 Location of lectures   BUCH A102
 Time of lectures   Mon, Wed, Fri 1:00-2:00
The common syllabus page for all sections of Math 200 is in Canvas.

The Section 104 web page is here.

The first day handout about administrative matters is here.

Text

Topics

  1. 3-Dimensional Geometry (Chapter 1, except §1.6):
         Three dimensional coordinate systems,
         Vectors, arithmetic, dot and cross products,
         Equations of lines and planes,
         Equations of surfaces.
  2. Differentiation of Multivariable Functions (Chapter 2):
         Functions of several variables,
         Limits and continuity,
         Partial derivatives,
         Tangent planes and linear approximations,
         Chain rule,
         Directional derivatives, gradient,
         Maximum and minimum values, Lagrange multipliers.
  3. Integration of Multivariable Functions (Chapter 3, except §3.4 § 3.8):
         Double and iterated integrals,
         Double integrals in polar coordinates,
         Applications,
         Triple integrals,
         Triple integrals in cylindrical and spherical coordinates.