To succeed in
Calculus 3 and differential equations, you need to have a good understanding of
Calculus 1 and Calculus 2.
Practicing with derivatives and memorizing the most important ones is especially
important.
If you feel shaky
with precalculus, you need to review these topics too.
We have used the
excellent Pauls online notes to
prepare this review. You can find much more on the Pauls
website.
Here
is a list of recommended problems to prepare for the Calculus 3 diagnostic test
(Test 0) that will be administered during the first week of class.
Do
Problems: 2.2,2.3, 2.7, 2.8, 7.11, 9.1, 9.2, 9.5, 9.6, 9.7, 9.9, 9.11, 9.12,
9.13, 9.16, 9.17, 9.18 from the Review problems
list.
Solve also
the following problems:
a) Solve the system of equations {3x-y=4, 2x+y=6}
b) Write the points P= (1,1) and Q=
(2,-4) in polar coordinates (r cos t, r sin t).