SES # | TOPICS | KEY DATES |
---|---|---|

Derivatives | ||

0 | Recitation: graphing | |

1 | Derivatives, slope, velocity, rate of change | |

2 | Limits, continuity Trigonometric limits | |

3 | Derivatives of products, quotients, sine, cosine | |

4 | Chain rule Higher derivatives | |

5 | Implicit differentiation, inverses | Problem set 1 due |

6 | Exponential and log Logarithmic differentiation; hyperbolic functions | |

7 | Exam 1 review | |

8 | Exam 1 covering Ses #1-7 | |

Applications of Differentiation | ||

9 | Linear and quadratic approximations | |

10 | Curve sketching | |

11 | Max-min problems | Problem set 2 due |

12 | Related rates | |

13 | Newton's method and other applications | |

14 | Mean value theorem Inequalities | Problem set 3 due |

15 | Differentials, antiderivatives | |

16 | Differential equations, separation of variables | |

17 | Exam 2 covering Ses #8-16 | |

Integration | ||

18 | Definite integrals | |

19 | First fundamental theorem of calculus | Problem set 4 due |

20 | Second fundamental theorem | |

21 | Applications to logarithms and geometry | |

22 | Volumes by disks, shells | Problem set 5 due |

23 | Work, average value, probability | |

24 | Numerical integration | |

25 | Exam 3 review | |

Techniques of Integration | ||

26 | Trigonometric integrals and substitution | |

27 | Exam 3 covering Ses #18-24 | Problem set 6 due |

28 | Integration by inverse substitution; completing the square | |

29 | Partial fractions | |

30 | Integration by parts, reduction formulae | Problem set 7 due |

31 | Parametric equations, arclength, surface area | |

32 | Polar coordinates; area in polar coordinates Exam 4 review | |

33 | Exam 4 covering Ses #26-32 | |

34 | Indeterminate forms - L'Hôspital's rule | |

35 | Improper integrals | |

36 | Infinite series and convergence tests | |

37 | Taylor's series | Problem set 8 due |

38 | Final review | |

Final exam |