  We use SPITZER IRAC 3.6 and 4.5micron near infrared data from the Spitzer
Infrared Nearby Galaxies Survey (SINGS), optical B, V and I and 2MASS Ks band
data to produce mass surface density maps of M81. The IRAC 3.6 and 4.5micron
data, whilst dominated by emission from old stellar populations, is corrected
for small-scale contamination by young stars and PAH emission. The I band data
are used to produce a mass surface density map by a B-V colour-correction,
following the method of Bell and de Jong. We fit a bulge and exponential disc
to each mass map, and subtract these components to reveal the non-axisymmetric
mass surface density. From the residual mass maps we are able to extract the
amplitude and phase of the density wave, using azimuthal profiles. The response
of the gas is observed via dust emission in the 8micron IRAC band, allowing a
comparison between the phase of the stellar density wave and gas shock. The
relationship between this angular offset and radius suggests that the spiral
structure is reasonably long lived and allows the position of corotation to be
determined.
