  Observations of 43 complete transits of the hot Jupiter exoplanet HAT-P-32b
using the MicroObservatory 0.15-m robotic telescope network covering a period
of 7 years are presented. Compared with the most recent ephemeris for the
system, the precision of the mid-transit times yielded a root-mean-square value
from the predicted model of 3.0 min. The estimated system parameters based on
EXOFAST modelling are broadly consistent with those of the default parameter
values listed in the NASA Exoplanet Archive. An updated orbital period of
2.15000815 +/- 0.00000013 d and ephemeris of 2458881.71392 +/- 0.00027 BJDTDB
is consistent with recent studies of the system using larger telescopes. Using
this updated ephemeris, the predicted mid-transit time for a notional
observation of HAT-P-32b by the NASA JWST mission in mid-2021 is improved by
1.4 min compared with the discovery ephemeris and is ~8 times more precise.
Likewise, the mid-transit time for an observation by the ESA ARIEL mission in
2020 is improved by 1.7 min. Thus, observations of transiting exoplanets by
MicroObservatory and other users of small telescopes can contribute to the
maintenance of the ephemerides of targets for future space-based telescope
missions. We also note that one of the HAT-P-32 field stars is a {\delta} Scuti
pulsating variable and that characterization using the same observations as
this study further demonstrates the utility of MicroObservatory for the
observation of stellar variability, whilst simultaneously observing transiting
exoplanets for ephemeris maintenance.
