# Syllabusap Calculus

Posted By admin On 28/12/21The Fundamental Theorem of Calculus, I and II. Integration by Substitution – Pattern Recognition, Change of Variables for Definite Integrals, Integration of Odd and Even Functions. Trapezoid Approach for finding Area. Total Distance Traveled (TEST 3) 8. Inverse Functions – Derivative of an Inverse Function. Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses represent college-level mathematics for which most colleges grant advanced placement and credit. HW1. HW2. HW3. HW3a. HW4. HW5. HW6. HW7. HW7a. HW8. HW9: Week One Content: If you haven't registered and would like a small taste of what this online-only course is like, you can access the Week One videos and interactive applets below.

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.

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

### Syllabus For Ap Calculus Bc

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. |