Calculus III
Prerequisites: One of MATH 101, MATH 103, MATH 105, MATH 121.
Instructor
Joel Feldman
Class Times and Location
 The course meets Monday, Wednesday and Friday from 11:00 to 11:50 in room Mathematics 100.
Text

James Stewart, Multivariable Calculus, fifth edition.
I will post all handouts, problem sets, final grades, etc. on the web
here.
Topics
 Vectors and the Geometry of Space
(§13.113.6):
Three dimensional coordinate systems,
Vectors, dot and cross products,
Equations of lines and planes,
Quadric surfaces.
 Vector Functions
(§14.1, 14.2, 14.4):
Vector functions and space curves,
Derivatives and integrals of vector functions,
Velocity and acceleration.
 Partial Derivatives (§15.115.8):
Functions of several variables,
Limits, continuity, partial derivatives,
Tangent planes and linear approximations,
Chain rule, directional derivatives, gradient,
Maximum and minimum values,
Lagrange multipliers.
 Multiple Integrals (§16.116.8, § 13.7):
Double and iterated integrals, polar coordinates,
Applications, surface area,
Triple integrals,
Cylindrical and Spherical coordinates.