Much like how faith is proven in a person, ideally the role of faith is proven in the curriculum and campus life at a Faith-based college. How that takes form, can vary from college to college.
Depending on the college, faith may be an integral part of the curriculum, or an optional part. Some Faith-based colleges may require students to take a certain number of religious/theological courses, and others may have the classes available for electives and required only for those studying a specific major. Whether required generally or not, ideally there is some sort of theology/Biblical studies being taught as part of the curriculum.
Another way that faith can be seen in both the curriculum and campus life is when faith is included in class discussions, even when the class is not itself religious. When students are encouraged and comfortable asking questions about how history, science, math, psychology, or whatever-the-topic-may-be reflects creation, the Bible, or God's design, that's an ideal example of faith being an active part of life on campus. Faith-based colleges often enroll many students who are not necessarily Christian, but the freedom to ask faith-related questions in any given class is ideally present.
The campus life outside of the classroom is much more varied from university to university. Ideally, the way that students interact, the conversations that they have, their behavior, and more will reflect their faith and the faith of the college. Respect, kindness, Biblical conversations, praying for one another, and accountability are all examples of ideal conduct and the role of faith in campus life/student life.
There isn't necessarily a general answer for what the role of faith is in the curriculum and campus life of a faith-based college, however, ideally, it's something you will recognize by conduct, conversation, content, and atmosphere. To find out more specifics about the role of faith in the curriculum or how it might be seen on a campus, the best way to identify it is to see it. Schedule a visit, if you can, to the Faith-based college(s) you are most interested in. If a visit is not possible, you can inquire with the student life department, reach out to a current student or recent alumni, or talk to the admissions department.