**Week Commencing** | **Sections Covered** | **Notes** |

01/25 | 12.1 Functions of two variables 12.2 Graphs and surfaces | First week of class |

02/01 | 12.3 Contours diagrams 12.4 Linear functions | |

02/08 | 12.5 Functions of three variables 12.6 Continuity and limits | |

02/15 | 13.1 Displacement vectors 13.2 Vectors in general | |

02/22 | 13.2 Vectors in general 13.3 The dot product | |

02/29 | 13.4 The cross product 14.1 The partial derivative | |

03/07 | 14.2 Computing partial derivatives 14.3 Local linearity and the differential | **Midterm I in class: 03/08/16** |

03/14 | 14.4 Directional derivatives and gradients 14.5 Gradients in 3 dimensions | |

03/21 | *Spring Break* | Have a good one! |

03/28 | 14.6 Chain rule 14.7 Second order partial derivatives | |

04/04 | 15.1 Critical points 15.2 Optimisation | |

04/11 | 15.3 Lagrange multipliers | |

04/18 | 16.1 The definite integral 16.2 Computing the definite integral | **Midterm II in class: 04/21/16** |

04/25 | 16.3 Triple integrals 16.4 Cylindrical coordinates 16.5 Spherical coordinates | |