All sections refer to James Stewart, *Calculus: Early Transcendentals*, 7th Edition.

Date | Material | Sections |

01/21 | Brief overview. Distance, conic sections, polar coordinates. | §10.3, 10.5, 10.6, 12.1 |

01/26 | Coordinate systems in R^{3}. Vectors in R^{2}, R^{3}, R^{n}. |
§12.1, 12.2, pp. 1027-1028, 1033-1034 |

01/28 | Dot product. | §12.3 |

02/02 | Cross product. | §12.4 |

02/04 | Equations for lines and planes. | §12.5 |

02/09 | More on lines and planes in space. | §12.5 |

02/11 | Quadric surfaces. | §12.6 |

02/16 | Review. | |

02/18 | Midterm 1. | |

02/23 | Parametric curves. | §10.1, 10.2, 10.3, 13.1, 13.2 |

02/25 | Derivatives and integrals of parametric curves. Arc length. | §13.2, 13.3 |

03/02 | Curvature. | §13.3 |

03/04 | Velocity, acceleration. | §13.4 |

03/09 | Review of continuity and limits in one dimension. | §2.2, 2.4, 2.5 |

03/11 | Continuity and limits of functions of several variables. | §14.1, 14.2 |

Spring break 03/16 – 03/20 | ||

03/23 | More on limits and continuity. | §14.1, 14.2 |

03/25 | Partial derivatives. | §14.3 |

03/30 | Tangent planes and linear approximation. | §14.4, |

04/01 | The chain rule. | §14.5 |

04/06 | Review. | |

04/08 | Midterm 2. | |

04/13 | Directional derivatives. More linear approximation. Gradient. | §14.6 |

04/15 | Critical points and maximization. | §14.7 |

04/20 | More maximization: regions with boundary. | §14.7 |

04/22 | Lagrange multipliers. | §14.8 |

04/27 | More Lagrange multipliers. | §14.8 |

04/29 | Complex Numbers | Appendix H |

05/04 | Review |