- Hints on order in multiple integrals?
- Evaluate from inside out
- Put integral relative to independent variable outermost, then next most independent, etc.
- Evaluate from inside out
- Summary of section 16.2 “Vector Fields” and “Gradient Fields”
- Vector field is function that assigns vector to each point in domain
- Domains typically 2 or 3 dimensional or more
- Commonly from gradients of scalar functions
- Vector field is function that assigns vector to each point in domain
- Example
- Electrical force in an old-fashioned vacuum tube
- Electrical force in an old-fashioned vacuum tube
- Line integrals of vector fields
- Summary of section 16.2 “Line Integrals of Vector Fields”
and “Line Integrals wrt dx, dy, or dz”
- Line integral of vector field is dot product
- How does formula for line integral in vector field relate to
previous line integral formula?
- Summary of section 16.2 “Line Integrals of Vector Fields”
and “Line Integrals wrt dx, dy, or dz”
- Problem set
- Applications of integrals of vector fields
- Read section 16.2 from “Work Done by a Force over a Curve in Space” to end
- (Top of page 950 through bottom of 954)