Math 234 Discussion Section
Spring 2008
Prof. Caldararu’s Web Page
Final Exam Solutions
WES Worksheets
Worksheet 1
: review of vectors.
Worksheet 2
: a better way to calculate
T
,
N
, and
B
.
Worksheet 3
: unit speed curves.
Worksheet 4
: sketching surfaces.
Worksheet 5
: partial derivatives as slopes.
Worksheet 6
: our favorite discontinuous function.
Worksheet 7
: open sets and continuity.
Worksheet 8
: differentiability.
Worksheet 9
: the chain rule and gradient.
Worksheet 10
: min/max problems.
Worksheet 11
: Lagrange multipliers.
Worksheet 12
: double integrals.
Worksheet 13
: changing the order of integration.
Worksheet 14
: the Gamma function.
Worksheet 15
: polar coordinates.
Worksheet 16
: the hypercube.
Worksheet 17
: line integrals.
Worksheet 18
: conservative vector fields.
Worksheet 19
: Green’s theorem.
Worksheet 20
: the planimeter.
Worksheet 21
: surface integrals.
Worksheet 22
: parametrized surfaces.
Worksheet 23
: Stokes’ and the divergence theorems.