| 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 |