The Way Back
After coming down a short, steep section of Dwight Way, you will take a steep foot path to the left that leads down to a pair of largish rocks, overlooking the Clark Kerr part of the U.C. campus.
Just below the rocks, the trail to the left will take you down through Bay Trees to a small stream, then back up to the eucalyptus grove where you started. Keep your eyes peeled for poison oak which grows along the trail. It's a short walk back from here.
(If instead you go right below the rocks, the trail leads down to Dwight Way, near the Clark Kerr track-- another possible place to park. I don't much care for this bit of trail though, which is steep and narrow.)