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AP Calculus BC (AB Review)

Course Catalog ID:
Subject Categories:
AP Course, College Dual Credit, Math

This course is for students who previously completed Calculus AB. The course provides a brief review of Calculus AB and an extended study of the subsequent Calculus BC topics plus extensive preparation for the AP Calculus BC exam. In this course, 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 investigate infinite series and polynomial approximations using Taylor and Maclaurin series, vector-valued functions, and polar curves. 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.

Notes and Requirements
Grade Levels*:
11, 12, College (Dual Credit)
(* Determined by Date of Birth and declared Grad Year. Enrollment outside these grade levels requires written concurrence from TPS Support.)

College Credit (With AP Exam): With the AP exam, this course is pre-approved for college credit (Belhaven MAT 207+208, 6 credits) pending completion of the AP exam. A score of 5 on the AP exam earns 6 credits (MAT 207+208) and a score of 4 earns 3 credits (MAT 207). Upon receipt of AP exam results, 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 here.

AP Exam Scores: For more information on TPS AP-certified courses and exam results, see this page. 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.

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.

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