# Math 32B Discussions 2E and 2F

Example problems will be posted after every discussion session.

### Notes for Discussion 2E

January 9, 2018
We went over examples of double integrals over rectangles and discussed strategies for efficient computation.
January 16, 2018
We did examples of double integrals over general regions.
January 23, 2018
We did some examples of triple integrals and discussed integration in polar coordinates.
January 30, 2018
We went over examples of integrating in polar, cylindrical, and spherical coordinates. The notes have some extra examples as practice for the midterm.
February 6, 2018
We went over the midterm. No notes for today.

February 13, 2018
We went over examples using the change of variables formula and line integrals.
February 20, 2018
We discussed line integrals and conservative vector fields.
February 27, 2018
We reviewed for the midterm and did some examples involving surface integrals.
March 6, 2018
We went over the midterm. No notes for today.

March 13, 2018
We went over examples utilizing Stokes' theorem and the divergence theorem.

### Notes for Discussion 2F

January 11, 2018
We went over examples of double integrals (over rectangles and some more general regions) and discussed strategies for efficient computation.
January 18, 2018
We did some examples of double integrals over general regions.
January 25, 2018
We did some examples of triple integrals and discussed integration in polar coordinates.
February 1, 2018
We went over examples of integrating in polar, cylindrical, and spherical coordinates. The notes have some extra examples as practice for the midterm.
February 8, 2018
We went over examples using the change of variables formula.
February 15, 2018
We went over some examples involving line integrals and conservative vector fields.
February 22, 2018
We discussed line integrals and conservative vector fields.
March 1, 2018
We reviewed for the midterm and did some examples involving surface integrals.
March 8, 2018
We went over examples illustrating Green's theorem.
March 15, 2018
We went over examples illustrating Stokes' theorem and the divergence theorem.