- Thursday (March 3) class
- I’ll be out of town from Wednesday afternoon through end of the week
- “Class” will be asynchronous online exam solution/review
- Section 14.1
- Functions of several independent variables
- w = f( x1, x2, … xn )
- How to find domain and range
- Functions of 2 variables as special case
- Interior points? boundary points?
- Graphs, level curves, contours
- Interior points? boundary points?
- Functions of 3 variables as another special case
- Set of points (x,y,z) where f(x,y,z) = constant is a level surface
- Computer realizations
- Functions of several independent variables
- Tangible example: a curved ceiling as a multivariable function
- Derive the function if the ceiling is a half-cylinder angled 45 degrees to X and Y axes
- Derive the function if the ceiling is a half-cylinder angled 45 degrees to X and Y axes
- Limits and continuity for multivariable functions
- Read section 14.2