MATH 241 (Calculus III)
| DESCRIPTION |
An introduction to multivariable calculus, including vectors
and vector-valued
functions, partial derivatives and applications of partial derivatives
(such as tangent planes and Lagrange multipliers), multiple integrals,
volume, surface area, and the classical theorems of Green, Stokes and
Gauss. All sections of the course will use the software package MATLAB. |
| PREREQUISITES |
MATH 141 |
TOPICS
(by chapter) |
XI. Vectors, Lines and Planes.
Cartesian coordinates of space
Vectors
Lines
Planes
Dot and cross product
XII. Vector-valued Functions
Vector-valued functions
Tangents
Normals
Curvature
XIII. Partial Derivatives
Quadric surfaces
Partial derivatives
Chain rule
Directional derivatives
Gradients
Extreme values
Lagrange multipliers
XIV. Multiple Integrals
Double and triple integrals
Change of variable
Volume
Surface area
Moments and centers of gravity
XV. Calculus of Vector Fields
Line and surface integrals
Green's theorem
Stokes' theorem
Divergence theorem |
| TEXT |
Text(s)
typically used in this course.
All sections do some
exercises with MATLAB, and some sections may use a computer
supplement for this purpose. |
|
