Math 122 C
Exam #2 review:
Disclaimer: I have attempted to be comprehensive in the following,
but important items may have been omitted by mistake. If you see such
an omission, please let me know, but you are responsible for all of
the lecture material to date.
Notes:
- In calculus classes, you need to show sufficient work so that I can see
how you get to an answer. Credit may not be given simply for an
answer.
- You will not need a calculator for this exam.
The second hour exam will be on Friday, October 21, and will cover chapter 5.6 through
6.4, skipping 5.9.
Material
- Be able to solve basic differential equations (of the sort we have had in
homework), and verify that a function is a solution to a differential
equation.
- Be able to state and use the mean value theorem for integration.
- Be able to approximate integrals using the trapezoid rule and Simpson's
rule. Be able to calculate using the error term (I will provide any formulas
for bounds on error with the exam).
- Be able to calculate the area between two curves.
- Be able to calculate volumes using the disk method and the shell method.
- Be able to calculate areas using polar coordinates. Be able to
sketch simple polar graphs and to convert between rectilinear and polar
coordinates.
- Be able to calculate arc lengths and the surface area of surfaces of
revolution about the x axis.
Should have been added, and may appear on the final.
- Squares, triangles, and squares on top of a planar region
- Orthogonal trajectories