As used in this chapter, the terms "running start" and "running start program" mean the part-time to full-time equivalent enrollment under this chapter of eligible eleventh and twelfth grade high school students in an institution of higher education for the purpose of earning at least high school credit to be awarded by a school district, and such additional college level or university level credit as may be awarded by the institution of higher education. A running start program's course must be open for registration to matriculated students at the participating institution of higher education and may not be a course consisting solely of high school students in a high school classroom.