MATH 10B  --  Final Exam Review Topics

Section Topic
5.1 through 6.4 Refer to the list of review topics for the midterm.

7.1 Path integrals (excluding supplement on The Total Curvature of a Curve).
Exercises 1-5.

7.2 Line integrals, line integrals of gradient fields.
Exercises 1-3, 6, 9, 14-16.

7.3 Parametrized surfaces and their tangent planes.
Exercises 1-3, 5-7, 9-11.

7.4 Area of a (parametrized) surface (excluding Surfaces of Revolution).
Exercises 1, 3, 5-9.

7.5 Integrals of scalar functions over surfaces (excluding Integrals over Graphs).
Exercises 1-4, 6-8.

7.6 Integrals of vector fields over surfaces.
Exercises 3-7.

8.1 Green's Theorem (excluding Vector Form using the Divergence).
Exercises 1-3, 5, 7, 9.

8.2 Stokes' Theorem (only pages 532 through 538).
Exercises 1-3, 5, 6, 9, 10.

8.3 Conservative fields (excluding Physical Interpretations).
Exercises 1-4, 7, 9.

8.4 Gauss' Theorem (only pages 561 through 566).
Exercises 1-7.