## ANNOUNCEMENTS

Registration for Spring term opens Thursday, February 23, 2016.

This page was last updated: .

## COURSE DESCRIPTION

The lectures will take place on Mondays, Wednesdays and Fridays in 151 Sloan at 10:00 AM. The course will not follow any text, but will present a large chunk of the material covered in Chapters 8-12 in the second volume of T. Apostol's Calculus. Supplementary notes on Vector Calculus (by D. Ramakrishnan) will be also posted weekly on the course web site. We will cover the following topics in the course:

- Subsets of Euclidean Space, Vector Fields and Continuity
- Differentiation in Higher Dimensions
- Tangent Spaces, Normals and Extrema
- Multiple Integrals
- Line Integrals
- Green's Theorem
- Div, grad and curl
- Change of Variables, Parametrizations, Surface Integrals
- The Theorems of Stokes and Gauss

## TA's

Section 11
- Jim Tao Office Hours: TBA 307 Kellogg, 626-395-5762 |
Thursdays, 9:00 AM 119 DWN |

Section 12 - Nathan Lawless Office Hours: TBA 280 Sloan, 626-395-3733 |
Thursdays, 10:00 AM 119 DWN |

Section 13 - Victor Zhang Office Hours: TBA 155 Sloan, 626-395-4081 |
Thursday, 1:00 PM 119 DWN |

Section 14 - Siqi He Office Hours: TBA 356 Sloan, 626-395-1732 |
Thursday, 2:00 PM 119 DWN |

## POLICIES

### Grading

There will be weekly homework assignments, a Midterm and a Final examination. The final grade will depend on a composite of these factors; to be precise, the homework will be worth 40 percent, while the final and midterm will each be worth 30 percent. No one will be excused from the final.

### Recitations

Please go to the recitations. Each week, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the instructor will not have time to present in class. In general, get to know your TA and bug him/her with your questions, and try to fill in all the holes in your understanding.

### Homework Policy

Homework is due Mondays at 10am and will be posted on the course web site at least a week before it is due. All problems may be done in collaboration with others. However, each student must write down the solution in his/her own individual way and there should be no two identical solutions to any problem. Do not consult the solution sets from previous years in working this year's problems. Collaboration is not allowed in the exams. The following table gives more details on what is and what is not allowed.

Homework | Exams | |
---|---|---|

You may consult: | ||

Course textbook (including answers in the back) | YES | YES |

Other books | YES | NO |

Solution manuals | NO | NO |

Internet | YES | NO |

Your notes (taken in class) | YES | YES |

Class notes of others | YES | NO |

Your hand copies of class notes of others | YES | YES |

Photocopies of class notes of others | YES | NO |

Electronic copies of class notes of others | YES | NO |

Course handouts | YES | YES |

Your returned homework / exams | YES | YES |

Solutions to homework / exams (posted on webpage) | YES | YES |

Homework / exams of previous years | NO | NO |

Solutions to homework / exams of previous years | NO | NO |

Emails from TAs | YES | NO |

You may: | ||

Discuss problems with others | YES | NO |

Look at communal materials while writing up solutions | YES | NO |

Look at individual written work of others | NO | NO |

Post about problems online | NO | NO |

For computational aids, you may use: | ||

Calculators | YES* | NO |

Computers | YES* | NO |

* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

At most one late homework set will be accepted, and only at your TA's discretion, if arrangements have been made in advance with your TA, and if the work is less than a week late. Beyond this, late homeworks will NOT be accepted, except with a letter form the health center or from the Dean's office. Every week, graded homeworks can be picked up from the TA during the recitation on Thursday.

## TEXTBOOKS

Apostol, Tom M. Calculus, Vol. II, Multi-Variable Calculus and Linear Algebra with Applications, 2nd Ed., John Wiley, 1967, ISBN: 0-471-00007-8.