Topic
Line and surface integrals
6 concepts and 60 practice problems on line and surface integrals, part of Multivariable calculus.
6concepts
60exercises
≈ 3 hof study approx.
Concepts
- Line integral of a scalar function 10 exercisesThe line integral of a scalar function f over a curve C parametrized by mathbf r(t), a≤ t≤ b, accumulates the values of f weighte…
- Vector field in the plane and space 10 exercisesA vector field mathbf F assigns to each point of a region of the plane or of space a vector; its components P,Q,R are scalar func…
- Line integral of a vector field 10 exercisesThe line integral of a vector field mathbf F over an oriented curve C, parametrized by mathbf r(t), a≤ t≤ b, measures the work ma…
- Conservative field 10 exercisesA vector field mathbf F is conservative if it is the gradient of a scalar function f, called a potential function of mathbf F.
- Parametric surface 10 exercisesA parametric surface is the set of points in space described by a vector function mathbf r of two parameters u and v as they rang…
- Surface integral 10 exercisesThe surface integral of a function f over a surface S, parametrized by mathbf r over a region D, adds up the values of f weighted…