Quizzes

The following are weekly quiz banks from Fall 2019. In addition to a collection of 10 problems there are also some selected additional problems from old exams and reviews. The more problems that you are able to answer without outside help, the better you are doing; so try and answer as many as possible!

• • Quiz 1 -- Review material

  • Quiz 2 -- Coordinate systems; spheres; vectors

  • Quiz 3 -- Dot product; angles; work; cross product; areas; volumes

  • Quiz 4 -- Lines/planes; quadric surfaces; parametric curves; tangent lines; derivatives of vector-valued functions

  • Quiz 5 -- Integration of vector-valued functions; arc length; decomposing motion; osculating plane; curvature

  • Quiz 6 -- Multivariable functions; level curves/surfaces; limits; partial derivatives

  • Quiz 7 -- Tangent planes; chain rule; implicit differentiation; gradients; directional derivatives

  • Quiz 8 -- Taylor polynomials; critical points; second partials test; absolute max and min on closed and bounded set; Lagrange multipliers

  • Quiz 9 -- Basics of multivariable integration; iterated integrals; changing order of (2D) integration; integration in polar coordinates

  • Quiz 10 -- Triple integrals; changing order of (3D) integration; applications of integration

  • Quiz 11 -- Integration in cylindrical/spherical coordinates; Change of variables (Jacobian); vector fields; curl; divergence

  • Quiz 12 -- Line integrals; work; line integrals of conservative functions; Green's Theorem; surface integrals; flux through a surface

  • Extra material -- Stokes' Theorem; Divergence Theorem