**Instructors:** Brown, Culler, Fields, Hanson, Katz, Kern, Lewis,
Porta & Ramanathan.

**Text:** *Multivariable Calculus, 3rd ed.* by James Stewart.
You should read the textbook before the classroom discussion of a topic
as indicated on the schedule of reading assignments.

**Computer:** We will use Maple, a computer algebra and graphics
system. You will have an
account in the Math Computer Lab in 200 SEO. This program is also
installed in UIC Computer Center Labs at various campus locations.

**Web:** {There is (or will be) a Math 210 web page at

**Homework:** You are encouraged to discuss homework problems
with your fellow students.
Working in groups makes the explanation of approaches and solutions a
part of the process and helps you learn. Your goal is to find
solutions and to communicate your work in a convincing manner.

**Grades:** Grades will be based on:

Assignments (100 points, includes attendance),

Quizzes (100 points),

Hour Exams (100 points each) scheduled for Fridays, Feb. 13 and Apr. 3,

Final Exam (200 points) on Thursday or Friday, May 7 or 8, from 1:00--3:00 pm.

**Syllabus:**

Week | Sections |
Brief Description |

1/12 - 16 | 11.1 - 4 | Vectors, dot and cross products |

1/21 - 23 | (Holiday), 11.5 - 6 | Lines, planes, surfaces |

1/26 - 30 | 11.7 - 8, Lab | Curves, arclength |

2/02 - 06 | 11.9 - 12.1 | Motion, functions of several variables |

2/09 - 13 | 12.1, Review, Exam 1 | Exam 1: Sections 11.1-9 |

2/16 - 20 | 12.2 - 3 | Partial derivatives |

2/23 - 27 | 12.4 - 5, Lab | Tangent plane, chain rule |

3/02 - 06 | 12.6 - 7 | Gradients, max - min |

3/09 - 13 | 12.7 - 8 | Max - min, Lagrange multipliers |

3/16 - 20 | Spring Break | Vacation |

3/23 - 27 | 13.1 - 3 | Double integrals |

3/30 - 4/03 | 13.4, Review, Exam 2 | Exam 2: Sections 12.1-8 |

4/06 - 10 | 13.5 - 7 | Applications, triple integrals |

4/13 - 17 | 13.8, 14.1 - 2 | Vector fields, line integrals |

4/20 - 24 | 14.2 - 3 | Integrals of gradient fields |

4/27 -- 5/01 | 14.4, Review | Green's theorem; Final review |

5/07 or 08 | Final Exam | Sections: 13.1-8, 14.1-4 + earlier |

You should read the chapter sections before class on the day indicated and turn in the short assignments below on that date. Additional problems will be assigned in your section.

Date |
Reading |
Homework Prolems Due in Class |

1/14 | 11.1-3 | 11.1 #5, 11; 11.2 #3, 14, 24 |

1/16 | 11.4 | 11.3 #5, 15, 23; 11.4 #3, 7 |

1/19 | Holiday | Dr. Martin Luther King Jr. Day |

1/21 | 11.5 | 11.4 #21; 11.5 #3, 14, 29, 47 |

1/23 | 11.6 | 11.4 #26; 11.5 #51; 11.6 #6, 17-24 |

1/26 | 11.7 | 11.7 #7, 8, 9, 10, 12 |

1/28 | 11.8 | 11.7 #1--6, 15; 11.8 #1, 7 |

1/30 | Maple | First Maple Lab during this week |

2/02 | 11.9 | 11.8 #11, 15; 11.9 #1, 5, 13 |

2/04 | 11.10 | 11.10 #1, 9, 17, 20, 45 |

2/06 | 12.1 | 12.1 #3, 33, 36, 37, 39 |

2/09 | 12.1 | 12.1 #43, 44, 45, 59-64 |

2/11 | Review | Sections: 11.1-9 |

2/13 | Exam 1 | Sections: 11.1-9 |