Chapter 4
Calculus II: Functions of multiple variables
4.1
Basic requirements
4.2
Functions of more than one variable
4.3
Partial derivatives
4.4
Derivatives in certain directions
4.5
Total Derivatives
4.5.1
Examples: For Jacobi matrix and Jacobi determinant
4.6
Curvilinear coordinates
4.7
Minimization problems
4.8
Criteria for finding extreme values in N-dimensions
4.8.1
Examples for finding extrema
4.9
Simple N-dimensional integrals
4.10
Continuity equation using divergency
4.11
Integrals using grad, div, and curl
© J. Carstensen (Math for MS)
