Class Schedule: MWF 10:00-10:53, Harriman Hall.

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Topic | Worksheet | Reading | Date | Practice Problems | |

Lecture 1 | Logistics, What is Calculus? | NA | Jan 23 | NA | |

Lecture 2 | Fundamental Theorem of Calculus | Worksheet 1 | 5.1-5.4 | Jan 25 | |

Lecture 3 | The Substitution Rule | Worksheet 2 | 5.5 | Jan 27 | |

Lecture 4 | The Substitution Rule (cont.) and Integration by Parts | Worksheet 3 | 5.5, 5.6 | Jan 30 | Practice Problems I |

Lecture 5 | Integration by Parts (cont.) and Partial Fractions | 5.6, 5.7 | Feb 1 | ||

Lecture 6 | Partial Fractions | Workshhet 4 | 5.7 | Feb 3 | |

Lecture 7 | Partial Fraction+Area between Curves | 5.7, 6.1 | Feb 6 | Practice Problems II | |

Lecture 8 | Area Between Curves | Worksheet 5 | 6.1 | Feb 8 | |

Lecture 9 | Area enclosed by Parametric Curves and Volume | Worksheet 6 | 6.1-6.2 | Feb 10 | |

Lecture 10 | Solids of Revolution | Worksheet 7 | 6.2 | Feb 13 | NA |

Lecture 11 | Solids of Revolution (Shell Method) | Worksheet 8 | 6.3 | Feb 15 | |

Lecture 12 | Arc Length | Worksheet 9 | 6.4 | Feb 17 | |

Lecture 13 | Average Value and Applications to Physics | Worksheet 10 | 6.5, 6.6 | Feb 20 | Practice Problems III |

Lecture 14 | Applications to Physics | 6.6 | Feb 22 | ||

Lecture 15 | Probability and Improper Integrals | Worksheet 11 | 5.10, 6.8 | Feb 24 | |

Lecture 16 | Improper Integrals | 5.10 | Feb 27 | ||

Lecture 17 | Improper Integrals | Worksheet 12 | 5.10 | Mar 1 | |

Lecture 18 | Introduction to Series, Geometric Series | Worksheet 13 | 8.2 | Mar 3 | |

Lecture 19 | Convergence and Divergence of Sequences | No Worksheet | 8.1 | Mar 6 | |

Lecture 20 | The Divergence Test and Comparison with Improper Integrals | No Worksheet | 8.2, 8.3 | Mar 8 | |

Lecture 21 | The Comparison and the Limit Comparison Tests | Worksheet 14 | 8.3 | Mar 20 | |

Lecture 22 | Other Convergence Tests (I) | Worksheet 15 | 8.4 | Mar 22 | |

Lecture 23 | Other Convergence Tests (II) | 8.4 | Mar 24 | ||

Lecture 24 | Estimating the Error for Series | Worksheet 16 | 8.3, 8.4 | Mar 27 | |

Lecture 25 | Power Series | Worksheet 17 | 8.5 | Mar 29 | |

Lecture 26 | Power Series representations of Functions (I) | Worksheet 18 | 8.6 | Mar 31 | |

Lecture 27 | Power Series representations of Functions (II) | 8.6 | Apr 3 | ||

Lecture 28 | Taylor and Maclaurin Series (I) | Worksheet 19 | 8.7 | Apr 5 | |

Lecture 29 | Taylor and Maclaurin Series (II) | 8.7 | Apr 10 | ||

Lecture 30 | Taylor and Maclaurin Series (III) | 8.7 | Apr 12 | ||

Lecture 31 | Taylor Polynomials and Approximations | Worksheet 20 | 8.8 | Apr 14 | |

Lecture 32 | Differential Equations | Worksheet 21 | 7.1 | Apr 17 | |

Lecture 33 | Differential Equations and Modeling | Worksheet 22 | 7.1,7.3 | Apr 19 | |

Lecture 34 | Separable Differential Equations | Worksheet 23 | 7.3 | Apr 21 | |

Lecture 35 | Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (I) | Worksheet 24 | Notes | Apr 24 | |

Lecture 36 | Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (II) | Apr 26 | |||

Lecture 37 | Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (III) | Apr 28 | |||

Lecture 38 | First-Order Linear Differential Equations | Worksheet 25 | Notes | May 1 | NA |