AP Calculus 1 (AB)
This course offers a combination of assessment and instruction in an online environment containing but not limited to the areas of functions, functions and limits, differential calculus, and integral calculus. The course applies differential calculus to finding the slope of a curve, solving problems with related rates, calculating motion properties of moving particles, etc. It then applies integral calculus to finding the areas of irregular regions in a plane, volumes of rotation by various methods, and other scientific applications.
The purpose of this course is to provide students with a deep understanding of the concepts of calculus in order to prepare them for the AP exam and for further college and university calculus courses. Because this class is presented in an online format, the pace and schedule varies from student to student, and no additional topics are presented past the exam time.
All the instruction is provided for the student, with feedback given for every exam, where students are required to give exact mathematical answers, often in sentence form, and describe, in detail, how solutions were arrived at, and the reasoning or theorems applied in the process. The teacher is also available at least five days a week for one-on-one support and help for the students, in addition to holding online collaborative lessons and offering discussion-based assessment to students.