## COURSE DESCRIPTION

This course will cover the key ideas from chapters 12-15 of Edwards and Penney. This is a subset of the syllabus for 18.02 (Multivariable Calculus). For more detail, see the syllabus.

**Text Book:** *Multivariable Calculus* by Edwards and Penney

**Problem Sets:**
There will be five problem sets. PSETs #1 and #3 will be due on a Monday in lecture. PSETs #2 and #4 will be due on a Wednesday in lecture. PSET #5 will be due on a Monday night. Students are encouraged to work with others, but each student must write up his or her own solutions. Students must list the names of all collaborators on the front page of the problem set.

**Exams:**
There will be a midterm on Wednesday July 10, another midterm on Wednesday July 24, and a final exam on Thursday August 8. The midterms will occur during the lecture period.

# SCHEDULE

Event | Date | Related Documents |
---|---|---|

PSET 1 | Due July 8 | Solutions |

Midterm 1 | July 10 in class | |

PSET 2 | Due July 17 | Solutions |

PSET 3 | Due July 22 | Solutions |

Midterm 2 | July 24 in class | |

PSET 4 | Due July 31 | Solutions |

PSET 5 | Due August 5 | Solutions |

Final | August 8 |

# Lecture Notes

Day | Topics and Notes |
---|---|

Jul 1 | Series and Taylor Series |

Jul 3 | Vectors and Matrices |

Jul 5 | Geometric Proofs and Lines and Plans |

Jul 8 | Intersections of Planes, Parameterizations |

Jul 10 | Parameterizations of Complex Motions |

Jul 12 | Arc Length, Functions of Several Variables, Partial Derivatives |

Jul 15 | Linear Approximations, Gradients |

Jul 17 | Unconstrained Optimization, Lagrange Multipliers |

Jul 19 | Double Integrals |

Jul 22 | Polar Coordinates, Double Integrals |

Jul 26 | Triple Integrals, Cylindrical and Spherical Coordinates |

Jul 29 | General Change of Variables |

Jul 31 | Vector Fields and Line Itnegrals |

Aug 2 | Fundamental Theorem of Line Integrals, Green's Theorem |

Aug 5 | Surface Integrals |