Some private universities in the Upstate say they are experiencing growth as students enroll for the fall semester. Anderson University has grown to be the largest private university by enrollment in South Carolina. Officials said more than 4,500 students are enrolled in classes for the fall semester. “We feel that comes with just an investment in our students. We talk about hospitality a lot here, and truly, how are we treating each other and people, and I think the students get a sense of that,” said William Monts, Anderson University’s associate vice president of enrollment management. Along with a new football team debuting this year, university officials said they have also celebrated two other milestones. Officials have opened a permanent home for the College of Engineering and STEM programs along North Main Street in Anderson. The school has launched an international graduate school. “We know that employers are going to …