One of the most distinctive and central qualities of the AUCI is its curriculum.  The first-semester calculus curriculum has been reorganized into chapters, each of which is a study of particular types of functions and associated applications.  By the end of each chapter, students will have had the opportunity to gain an understanding of the graphical, algebraic, and numerical nature of the featured functions, including the rate of change (derivative) and the net and total change (definite integral).  The curriculum is also unique in that it develops early and reinforces often the main ideas from both differential and integral calculus in the context of each function type and associated applications.  Rather than review necessary precalculus skills once at the beginning of the semester, the curriculum exploits the interplay between calculus and precalculus throughout the entire course.