## ANNOUNCEMENTS

The midterm will start on 1 February 11:00am and end on 6 February 10:00am.

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## COURSE DESCRIPTION

In this course, we will study the differential geometry of surfaces. Geometric concepts such as orientation, metrics, connections and curvature will be introduced. Theorems that we will prove include the classification of surfaces, Gauss's Theorema Egregium and the Gauss-Bonnet theorem.

## INSTRUCTORS

Tengren Zhang

OLGA TAUSSKY AND JOHN TODD INSTRUCTOR IN MATHEMATICS

374 Sloan

626-395-4336

## POLICIES

The homework will count 40% of the final grade, the midterm and final will each count 30%. The due date for homework is
Friday at 10am (start of class). Collaboration is allowed for the homework but you have to write your own solution. Collaboration for midterm and final exams is not allowed. You can use
the lecture notes, graded homework sets and solutions posted online on the course webpage.

You are allowed to turn in one late homework (without penalty) in the quarter. However, you must inform me about turning in your homework late BEFORE the due date, and you must turn in the late homework within a week of the due date.

## TEXTBOOKS

1) Differential Geometry of Curves and Surfaces, Manfredo Do Carmo, ISBN: 978-0-1321-2589-7

2) Introduction to Smooth Manifolds, John M. Lee, ISBN: 978-0387954486.

## LECTURE NOTES

Date | Description |
---|---|

Week 1 | Week 1 Notes |

Week 2 | Week 2 Notes |

Week 3 | Week 3 Notes |

Week 4 | Week 4 Notes |

Week 5 | Week 5 Notes |

Week 6 | Week 6 Notes |

Week 7 | Week 7 Notes |

Week 8 | Week 8 Notes |

Week 9 | Week 9 Notes |

Week 10 | Week 10 Notes |

## HOMEWORK

Due Date | Homework | Solutions |
---|---|---|

20 January 2017 | Homework 1 | Homework 1 solutions |

27 January 2017 | Homework 2 | Homework 2 solutions |

10 February 2017 | Homework 3 | Homework 3 solutions |

17 February 2017 | Homework 4 | Homework 4 solutions |

3 March 2017 | Homework 5 | Homework 5 solutions |