Calculus of Functions of One and Several Variables

General Information | Syllabus | HW Assignments | WeBWorK |
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On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures | Sections in Text | Brief Description |
---|---|---|

1/5 | 12.1 | Introduction and Sequences |

1/7 | 12.2 | Series |

1/10 | 8.8, 12.3 | Improper Integrals (through Example 4, p. 547), The Integral Test (through Example 4, p. 736) |

1/12 | 12.4 | Direct and Limit Comparison Tests (up to estimating sums, p. 744) |

1/14 | 12.5 | Alternating Series |

1/17 | No Class Martin Luther King day (class moves to x-hour) | |

1/18 (x-hour) | 12.6, 12.7 | The Ratio Test (upto p. 754), strategies |

1/19 | 12.8 | Power Series |

1/21 | 12.9 | Functions as Power Series |

1/24 | 12.10 | Taylor and Maclaurin Series (skip mult and division of series) |

1/26 | 12.10 | Taylor and Maclaurin Series (skip mult and division of series) |

1/28 | 8.1 | Integration by Parts |

1/31 | 8.2 | Trig integrals; up to boxed formula on p. 501 |

1/31 | First Exam, 4-6 pm, 28 Silsby | |

2/2 | 8.3 | Trigonometric Substitutions |

2/4 | 13.1, 13.2 | Three dimensional coordinates and vectors |

2/7 | 13.3 | The Dot Product (skip direction angles and direction cosines) |

2/8 or 2/10 (x-hour) | 13.4 | The Cross Product |

2/9 | 13.5 | Lines and Planes |

2/11 | No class: Snow Day (aka Winter Carnival) | |

2/14 | 14.1, 14.2 | Vector Functions and Space Curves, derviatives and integrals of vector-valued functions |

2/16 | 14.3, 14.4 | Arc Length (skip pp. 868--872), Motion in Space (skip middle p. 878 -- 882) |

2/18 | 15.1, 15.2 | Functions of several variables, Limits and Continuity |

2/21 | 15.3 | Partial Derivatives (skip the Cobb-Douglas Production function) |

2/21 | Second Exam, 4-6 pm, 28 Silsby | |

2/23 | 15.4 | Tangent Planes and Linear Approximations |

2/25 | 15.5 | The Chain Rule |

2/28 | 15.6 | Directional Derivatives |

3/2 | 15.6 | Directional Derivatives |

3/4 | 15.7 | Maxima and Minima |

3/7 | 15.7, 15.8 | Maxima and Minima, Lagrange Multipliers |

3/9 | 15.8 | Largrange Multipliers and wrap up |

T. R. Shemanske

Last updated June 23, 2014 15:20:16 EDT