Recitations are a way to assess understanding (quizzes), resolve confusion, develop problem solving skills, and review performance (post-exam discussions). The format for recitation will be as follows:
- Week 1: First 35 minutes will serve as introduction and review of material needed to know to perform well in the course (for examples, problems from the problem bank). Last 15 minutes will be a quiz.
- Weeks 2-5,7-9,11-14: First 15 minutes will be a quiz. The remaining time will be spent working on related problems or other related activities to improve understanding for the material covered in the previous week.
- Weeks 6,10,15: Discuss the exam from the previous week, including how to approach solving similar problems in the future and common mistakes.
The following contain the problem banks for each week from which the quiz questions will be drawn. In addition there is usually a collection of related problems which come from previous exams and reviews. While you are not expected to work all of the related problems, if you want to do well in the course, then you should be able to know how to answer these problems.
- Week 1 -- Review material
- Week 2 -- Coordinate systems; spheres; vectors
- Week 3 -- Dot product; angles; work; cross product; areas; volumes
- Week 4 -- Lines/planes; quadric surfaces; parametric curves; tangent lines; derivatives of vector-valued functions
- Week 5 -- Integration of vector-valued functions; arc length; decomposing motion; osculating plane; curvature
- Week 7 -- Multivariable functions; level curves/surfaces; limits; partial derivatives
- Week 8 -- Tangent planes; chain rule; implicit differentiation; gradients; directional derivatives
- Week 9 -- Taylor polynomials; critical points; second partials test; absolute max and min on closed and bounded set; Lagrange multipliers
- Week 11 -- Basics of multivariable integration; iterated integrals; changing order of (2D) integration; integration in polar coordinates
- Week 12 -- Triple integrals; changing order of (3D) integration; applications of integration
- Week 13 -- Integration in cylindrical/spherical coordinates; Change of variables (Jacobian); vector fields; curl; divergence
- Week 14 -- Line integrals; work; line integrals of conservative functions; Green's Theorem; surface integrals; flux through a surface
- (*)Week 15 -- Stokes' Theorem; Divergence Theorem
(*) = These topics are from dead week and not on a quiz; however they might (in the most definitely will sense) appear on the final.
Quiz grading guidelines
Each problem on the quiz will be graded out of five points with the following general guideline (no half points will be rewarded):
- 5 points = completely correct; all intermediate work shown; all notation used correctly.
- 4 points = correct; most intermediate work shown; notation mostly correct.
- 3 points = correct idea; some intermediate work shown; going in the right way but only about half way to a full answer.
- 2 points = correct understanding of the nature of the problem and the initial step given (perhaps not completely correctly).
- 1 point = correctly identify correct technique to be used, but cannot get the problem started.
- 0 points = answer given with completely wrong or missing supporting work; unanswered; work given irrelevant to the problem.