- Curriculum >
- Juni Mathematics >
- AP Calculus AB & BC

suggested for ages 15-18

Course Details

AP Calculus is a rigorous high-school level course that is designed to **build studentsâ€™ in-depth understanding of calculus**. The course is aligned with College Board standards and is designed to prepare students for the **AP Calculus AB or BC exam**.

This course is suitable for students who are taking AP Calculus concurrently in school or are studying for the exam independently. We require that students have completed Pre-Calculus / Trigonometry as a prerequisite to this course. Due to the length and rigor of this course, we strongly recommend all students enroll in this course with **two classes per week** or more.

For students who are taking AP Calculus AB, the course will cover: **Limits and Continuity, Differentiation, Applications of Derivatives, Integration and Accumulation of Change, Differential Equations, and Applications of Integrations**. For students who are taking AP Calculus BC, this course will also cover **Parametric Equations, Polar Coordinates, and Vector-Valued Functions**.

Course Curriculum

This course typically takes 9 months to complete. This depends on the student's dedication to homework, their previous experience, and the difficulty of course material. Our instructors move at the pace of the student, taking extra time to reinforce concepts as needed. As mentioned above, due to the length and rigor of this course, we strongly recommend all students enroll in this course with **two classes per week** or more.

## APC1 Introduction to Limits |
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## APC2 Calculating Limits |

## APC3 Continuity |

## APC4 Limits and Continuity Topic Review |

## APC5 Introduction to Derivatives |
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## APC6 Derivative Rules |

## APC7 Derivatives of Trigonometric and Other Functions |

## APC8 Derivatives of Composite, Implicit, and Inverse Functions |

## APC9 Differentiation Topic Review |

## APC10 Contextual Applications of Differentiation |
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## APC11 Analytical Applications of Differentiation |

## APC12 A Function and Its Derivatives |

## APC13 Applications of Derivatives Topic Review |

## APC14 Accumulation of Change |
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## APC15 Integrals |

## APC16 Integration and Accumulation of Change Topic Review |

## APC17 Introduction to Differential Equations |
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## APC18 Solutions to Differential Equations |

## APC19 Differential Equations Topic Review |

## APC20 Interpreting Context for Definite Integrals |
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## APC21 Volumes of Solids Using Integrals |

## APC22 Applications of Integration Topic Review |

## APC23 Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC only) |
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## APC24 Parametric Equations, Polar Coordinates, and Vector-Valued Functions Topic Review (BC only) |

## APC25 Infinite Series (BC only) |
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## APC26 Infinite Sums and Representing Infinite Series (BC only) |

## APC27 Infinite Sequences and Series Topic Review (BC only) |