This course covers all of the requirements of AB Calculus, plus specific preparation for the AP AB Calculus exam. The Calculus is explored using multiple representations including analytic, algebraic, numerical, graphical, and technological techniques. Students will examine the limit and continuity of functions along with the two main functions of calculus: the derivative and the integral. Derivatives will be explored as a point and as functions, along with second derivatives and applications in optimization, linearization, and related rates. Interpretations and properties of integration will be presented, including Riemann’s Sums and applications of motion, area under curves, and volumes of unusual shapes. The Fundamental Theorem of Calculus will be used for analytical and graphical analysis of functions. Students will also practice AP-style questions, to familiarize themselves with the format and grading techniques. The teacher will also reinforce commonly difficult concepts, address general concept questions, strengthen weak areas, host collaborative problem-solving among the students, and provide additional AP prep problems.
Flexible Scheduling: This course may be taken with live class attendance reduced or waived (recording only) if the student has a time zone or schedule conflict. Select this option when you enroll or notify TPS for approval.
AP Exam Scores: For more information on TPS AP-certified courses and exam results, see [urlnew=https://at-tps.org/subjects/ap-courses/]this information[/urlnew].
College Credit: This course is pre-approved for college credit (Belhaven MAT 207, 3 credits). Upon successful completion of this course, the student may apply for a college transcript from Belhaven University for this course. These transcripted credits may be transferred to other colleges. More information is [urlnew=https://at-tps.org/subjects/college-credit/]here[/urlnew].
Note: AP® is a trademark owned by the College Board, which is not affiliated with, and does not endorse, this course. This course syllabus has received College Board AP® review and approval.