Men's vs. Women's
Both men's and women's competitions include the forward, backward, reverse, inward, twisting, and armstand categories, with four positions possible in each. Dives can be done in the straight, pike, tuck, or free positions. These categories and positions are what shape each athlete's "Dive List": the outline of the specific dives they'll be doing during a given meet (source).
There are only so many ways you can leap into a pool, which is why men's and women's diving is pretty much the same. Unlike most other collegiate sports, the equipment, rules, and standards don't really change (source). The only real difference is what events are offered, but that's based on division.
Only Division I offers competition in platform diving, while Divisions I, II, and III all offer the one- and three-meter events (source).
Since the men and women compete separately and judging is subjective, you can't really compare the two genders' scores. While both programs use the same system, the men and women never have a chance to dive against each other, so any comparison would be like comparing apples to oranges.
Unlike many of the other sports offered by the NCAA, there are actually more programs and resources for women's diving than there are for men. There are 188 women's diving teams in Division I, but only 140 for men. The women's teams are also allowed to offer fourteen scholarships each, while the men's team can only give nine.
Division II has a similar disparity, with sixty-seven programs for women and only fifty for men, although both teams have the same number of scholarships (eight) (source).