Exam Guide

 Here is the material you will need to know for the final exam.
 SECTION MATERIAL ON FINAL EXAM 12.1–12.4 Background information only. 12.5 Everything execpt angles between planes. 13.1 Background information only. 13.2 Everything except "Ideal Projectile Motion" 13.3 Everything 14.1 Background information only. 14.2 Background information only. 14.3 Background information only. 14.4 NOT ON FINAL 14.5 Everything except the "Algebra Rules for Gradients" 14.6 Background information only. 14.7 Be able to apply Theorem 11 (Second Derivative Test); ignore extrema on closed bounded regions. 14.8 Apply Lagrange's Method with one constraint (Ignore material on two constraints.) 15.1 Know everything 15.2 Know everything 15.3 Know everything 15.4 Know everything 15.5 Know everything 15.6 Everything, except no moments of inertia. 15.7 Know everything 16.1 Everything except moment and intertia calculations. 16.2 Everything up to (and including) Work; but you can ignore circulation and flux here. (They're in 16.4) 16.3 Everything except material on exact differentials. 16.4 Be able to use Green's theorem to compute line integrals. (You do not need to know its physical interpretations.) 16.5 Be able to find surface area. (But you can ignore material on implicitly defined surfaces.) 16.6 Be able to compute surface integrals for all but implicitly defined surfaces. (But ignore material on flux, moments and inertia.) 16.7 Be able to use Stokes' theorem. (But you can ignore all material AFTER Example 5.) 16.8 NOT ON FINAL