MATH 411 (Advanced Calculus II)
| DESCRIPTION |
Analysis of functions of several variables. (Credit will only
be granted
for one of Math 411 and 412.) |
| PREREQUISITES |
MATH 240, 241; MATH 410 |
| TOPICS |
Preliminary Notions
The topology of sets and sequences in Rn
Continuity and its ramifications for functions of
several variables
Potential Functions
Directional derivatives
Gradient
Differentiability
Weak and strong Mean Value Theorems
Chain rule
Tangent plane
Mappings
Differentiability
General Mean Value Theorem
Inverse and implicit function theorems with
applications
Multiple Integration
Potential function integration
Area measure
Iterated integrals
Line Integration
Arc length
Line integration
Conservative vector fields
Green's Theorem and Green's Identities
Surfaces (time permitting)
Simple smooth surface elements
Orientation
Surface area
Divergence theorem
Stokes' theorem |
| TEXT |
Text(s)
typically used in this course. |
|
