Anthony Townes' tip-in basket with 11 seconds brought Pacific to 69-67 but TJ Shorts II made a pair of free throws to end it.
UC Davis (6-2) led 33-25 at halftime and led the entire second half but never by more than nine. Roberto Gallinat hit a 3-pointer with 40 seconds and brought the Tigers to within 67-63. Michael Onyebalu made 1 of 2 free throws, and after Schneider fouled Kendall Small, Small made a pair to reduce the deficit to 68-65.
Moneke and Schneider combined to shoot 14 of 25 from the field, Shorts II scored 14 points on 8-of-10 shooting from the free throw line and Onyebalu, 10.
Gallinat led Pacific (5-5) with 19 points, Anthony Townes had 16 points and 10 rebounds, Small scored 13 and Jack Williams, 12 and Jahlil Tripp grabbed 12 rebounds.