| Can solve problems involving indefinite integrals. |
| Recognizes multivariable functions and their graphs. |
| Correctly uses partial differentiation steps. |
| Definitions and interpretations of directional derivatives and gradient vectors. |
| Solves problems involving finding extrema and saddle points on the graphs of functions of two variables. |
| Solves problems involving the calculation of area, volume, and arc length using definite integrals. |
| Compares different methods for calculating volume using integrals. |