(3/6) There will be no quiz on Monday March 7 because there is not enough new material since the midterm. Next quiz will be March 14.

(3/30) From now on office hours are changed slightly to Tuesday 1-2:30pm and Friday 4:30pm-6pm.

(4/26) Office hours today are changed to 3-3:30pm.

(4/27) Office hours this week are moved from Friday to Thursday at the same time of 4:30-6pm, so you can ask questions about the HW before it's due on Friday.

(4/28) RRR week and finals week: Monday and Wednesday I will have review sessions at the usual time and place section is held (11-12 in 247 Cory, 1-2pm 81 Evans). Friday at the usual time and place of section I will hold office hours. Office hours during the week are the same: Tuesday 1-2:30pm and Friday 4:30-6pm in my office Evans 1056. Tuesday of finals week, the day before the final, I will hold office hours 1-3pm in Evans 732.

(5/1) I've posted review materal in "Exam Review" below.

(5/10) I've posted solutions to the final review problems, below.

Parametric Curves

Tangents to and self-intersections of parametric curves

Lengths, areas, polar coordinates

More with polar coordinates: sketching, areas, intersections

Vectors, dot product

Dot product, cross product

Cross product and its applications

Intersections of lines and planes

Parametric curves in 3D, derivatives

More parametric curves and derivatives (edit: solution to spaceship problem clarified)

Contour plots, graphs of functions in two variables (edit to last paragraph)

Limits, partial derivatives, linear approximation

Linear approximation, multivariable chain rule

More chain rule, gradient

Directional derivative

Max/min problems

Least-squares calculation

Lagrange multipliers

Double integrals

Double integrals in polars

Applications of double integrals

Change of variables in double integrals

Triple integrals in Cartesian and cylindrical coordinates

Applications of triple integrals

Triple integrals in spherical coordinates (edit: added last problem done in section)

Vector fields, line integrals of a scalar function

Line integrals of a vector-valued function

Conservative vector fields and fundamental theorem of line integrals

Green's theorem

Curl, divergence, flux

Surface area

Flux through surfaces

Divergence theorem and flux

Stokes theorem

Review sheet for Midterm 1

Review questions for Midterm 1 (edit to answer 14)

Review questions for Midterm 2

Review sheet for Final

Review questions for Final (edit to answer 9 from second page)

Solutions to final review sheet

Past 53 exams here and here.