Berg was UCLA's first ever recipient of the NCBWA Stopper of the Year Award in 2013.
Freshman right-hander Griffin Canning finished second in the country in strikeout-to-walk ratio.
Chan and Garrick account for UCLA victories.
UCLA is eliminated and finishes the season with an overall record of 45-16.
Thomas Welsh is among 24 players who will participate in the World Championship Team training camp.