For UCD history, missing two courses for 8 quarter units total probably will not cause you to delay graduation, especially if you have IGETC or UCD GE complete. In your first quarter after transfer, you can take two to four lower division history courses; then you will have five quarters to complete the upper division requirements (40-42 quarter units out of 75-80 quarter units that you have space for in five quarters).
http://history.ucdavis.edu/undergraduate/major-and-minore-requirements
Note that most UCD history courses do not have prerequisites, and there is considerable flexibility in choosing upper division history courses, so you need not be too worried about having a long sequence of required courses being delayed and causing you to delay graduation.
http://catalog.ucdavis.edu/programs/HIS/HIScourses.html
Note: 1 quarter unit = 2/3 semester unit, so if you transfer with 60 semester units, you will have 90 quarter units at UCD.