The NCAA website says that the most career points record in NCAA Basketball belongs to Travis Grant, Kentucky State (Div II) who last played in 1972. His career total is listed as 4,045 points. The site says that Pete Maravich, LSU, holds the career point record in Division I play, with 3,667 points.
Bevo Francis holds the record for most points scored in an NCAA basketball game with 113, set in 1954.
Jack Taylor of Grinell college scored 138 points.
Austin Carr 61 points in 1971
I believe the answer is Bill Walton, who scored 44 points for UCLA in a Championship game in 1973 or 1974.
Carmelo Anthony with 96 points