well you have a couple options
you could try to catch that new Metro rapid 940 to Union station
at 6:17 am to union station it arrived at 7:23am then board a Metrolink train
for Orange county (its the train going to Oceanside
(but you will only take to Orange station ,arives at 8:49am then you will
transfer to another metrolink train bound for Riverside
departing at 9:35am and arrived at Riverside at 10:24
then you transfer again to RTA bus line 14 at 10:38am
to UCR
there other routes you could take a bit more complicated
(IE you could take the same bus but only as far as the Green Line then board the Green Line to the Norwalk Green Line station then transfer again to the Norwalk Metrolink shuttle
to the Norwalk Metrolink station then the Metrolink as above
you might also want to contact UCR Transportation and Parking dept -they might be able to start a van pool
for you (or perhaps from Torrance)