The California UC’s and Cal states (exception Cal Poly SLO) do not use Freshman grades in their GPA calculations but Freshman grades are reviewed to make sure the UC/CSU A-G course requirements are fulfilled (passing grade of C or higher). Also, if you are not a California resident, these schools offer no need based financial aid and little competitive merit aid to out of state students. You should expect to pay full fees between $40K to $67K per year to attend depending upon campus.
There are many schools with your upward grade trend that would accept you. You need to define what you are looking for in location, school size, major and budget so posters can help with suggestions.
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