# Syllabusap Calculus

Please note that is just a sample syllabus, actual syllabi for the various sections of the course will likely be different each semester. Different instructors may choose somewhat different material. The number of class sessions varies between fall and spring semesters, Monday-Wednesday and Tuesday-Thursday classes.

AP Calculus AB Syllabus Course Description AP® Calculus AB is a yearlong, college‐level course designed to prepare students for the Advanced Placement (AP) Calculus AB exam. Major topics of study in this full‐year course include a review of pre‐. AP Calculus AB 2019-2020 Syllabus (DOCX 103 KB) NEED HELP DOWNLOADING: docx file: You need the Microsoft Word program, the Microsoft Word app, or a program that can import Word files in order to view this file.

All section numbers refer to James Stewart, *Calculus: Early Transcendentals*, 8th Edition.

Class | Material | Sections |

1 | Functions. New functions from old. | §1.1, 1.2, 1.3 |

2 | Trigonometric functions. | |

3 | Exponential function, inverse functions, logarithms. | §1.4, 1.5 |

4 | Derivative: motivation. Informal definition of limit. | §2.1, 2.2 |

5 | Limit laws. Squeeze theorem. | §2.3 |

6 | Continuity, asymptotes. | §2.5, 2.6 |

7 | Definition of derivative. Derivative as a function. | §2.7, 2.8 |

8 | Review. | |

9 | Midterm 1. | |

10 | Derivative of polynomials. Product and quotient rules. | §3.1, 3.2 |

11 | Derivatives of trig functions. | §3.3 |

12 | Chain rule, implicit differentiation. | §3.4, 3.5 |

13 | Derivative of the logarithm. Applications. | §3.6, 3.7, 3.8 |

14 | Related rates, linear approximation. | §3.9, 3.10 |

15 | Maximization. Mean value theorem. | §4.1, 4.2 |

16 | Second derivative, convexity, second derivative test. L’Hospital’s rule. | §4.3, 4.4 |

17 | L’Hospital’s rule, more graph sketching. | §4.4, 4.5 |

18 | Optimization problems. | §4.7 |

19 | Newton’s method. | §4.8 |

20 | Antiderivatives. | §4.9 |

21 | Review. | |

22 | Midterm 2. | |

23 | Definite integral: definition. | §5.1 |

24 | The “area so far” function. | §5.2 |

25 | The fundamental theorem of calculus. Evaluating definite integrals via the “net change theorem” | §5.3, 5.4 |

26 | Substitution rule. | §5.5 |

27 | Areas between curves, average values. | §6.1, 6.5 |

28 | Review. |