Dykstra, in grabbing eight rebounds, became the third Jackrabbit in SDSU history to surpass 1,500 points and 800 rebounds in his career.
The Pioneers (15-13, 8-5) got 18 points from Jalen Love and 10 from Marcus Byrd. Brett Olson, with nine points, went over 1,000 for his career.
A 7-0 spurt put SDSU up nine, 57-48, with 8 minutes left. Denver would get within six, but no closer.
The Jackrabbits made 24 of 32 free throws with Dykstra and Carson each making 9 of 10. Denver made 5 of 8.
SDSU is tied with IPFW for second place with one regular-season game remaining.