SUPA Calculus: (Syracuse University Project Advance Calculus)
The mathematical content of this program is typical of most traditional first-year calculus courses. The concepts of limit, continuity, derivative, anti-derivative, and definite integral are developed in the usual way, and are then applied to the traditional collection of functions: polynomial, rational, trigonometric, and exponential, together with their inverses, compositions, and algebraic combinations. The results are then applied to a wide variety of problems from geometry, physics, and other sciences. These include maximum and minimum problems, related rates, areas, volumes and surfaces of revolution, arc length, work, fluid pressure, velocity and acceleration, and exponential growth and decay. Curve sketching is introduced at the very beginning and emphasized throughout, as it is strongly believed that this is an important skill for any calculus student to acquire. Graphing calculators are a help here, since they contribute substantially to an understanding of the functions being sketched. They are only a help, however, and not a substitute for the skill itself.
This course is a full year honors course and is the same as Math 295 at Syracuse University. A student who is successful in this course will receive 1 unit of credit at the high school level and, if paying for the course, 4 units of credit with Syracuse University.