Advanced Multivariable Calculus

*Name:* Lucas Braune

*Website:* http://math.uw.edu/~lvhb

*E-mail:* lvhb 'at' uw.edu

*Office:* Padelford Hall C-526

*Office hours:* Mondays and Thursdays, from 4:00 to 5:00 p.m.

*When:* Mondays, Wednesday and Fridays
from 11:30 a.m. to 12:20 p.m.

*Where:*
Smith Hall, Room 105 (SMI 105)

§15.1-2: Double integrals (pdf) |

§15.3-4: Polar coordinates and applications (pdf) |

§12.3-4: Dot products, cross products, and determinants (pdf) |

§15.5: The area of a graph (pdf) |

§15.6: Triple integrals (pdf) |

§15.7: Cylindrical coordinates (pdf) |

§15.8: Spherical coordinates (pdf) |

§15.9: Change of coordinates (pdf) |

§14.5-6: Chain rule, gradient vector and directional derivatives (pdf) |

§16.1: Vector fields (pdf) |

§16.2: Line integrals and work (pdf) |

§16.3: Conservative vector fields (pdf) |

§16.4: Green's theorem (pdf) |

§16.5: Divergence and curl (pdf) |

§16.5: Divergence and curl (3D) (pdf) |

§16.6-7: Parametrization of surfaces (pdf) |

§16.6-7: Surface area, surface integrals and flux (pdf) |

§16.9: The divergence theorem (pdf) |

§16.8: Stokes' theorem (pdf) |

§16.8-9: Applications to Electromagnetism (optional) (pdf) |

Course review (pdf) |

Day | Event |
---|---|

Sep 25 | First lecture |

Oct 18 | First Midterm |

Nov 11 | No class: Veteran's day |

Nov 13 | Second Midterm |

Nov 29 | No class: Thanksgiving Friday |

Dec 9 | Final Exam |

The course textbook is *Calculus: Early Transcendentals*, 8th Edition,
by James Stewart.
Homework will be assigned and collected via *Webassign*.
See
here
for instructions on how to purchase Webassign access along with an
electronic copy of the course text.
You are not required to purchase a physical copy of the textbook,
even though the lectures will follow it quite closely.

Homework will generally be due at 11:00 p.m. on Thursdays. No extensions will be given to anyone for any reason. You may miss 10% of the total of homework points available for the quarter without penalty to your grade.

If you are having trouble with your access code, consider attending the "office hours" held by Webassign representatives on Tuesday, October 1 and Monday, October 7 from 11 a.m. to 3 p.m. at the Math Study Center (Communications Building, room B-014).

WebAssign login link: here.

Our course will have two midterm exams and one final exam. They will take palce in the room where the class meets for lectures. The midterm exams will be given on October 18 and November 13 during lecture. The final exam will take place on December 9 from 8:30 to 10:20 a.m.

Students may bring to exams a TI 30X IIS **calculator** and
a **note sheet**.
The note sheet must be letter-size and handwritten. Both sides are OK.
If you want to use a nongraphing calculator other than the TI 30X IIS,
talk to me (the instructor) before the day of the exam so
that I can approve your device.
Note that exam problems are designed so as not to require a
calculator for their solution.

Make-up exams will not be given. If you miss an exam due to unavoidable, compelling, and well-documented circumstances, your final exam will be weighted more heavily. In case of observance of religious holidays or participation in university-sponsored activities, please contact me at least one week in advance. You will be asked to provide documentation for your absence.

Exam grades will be published on Catalyst.

The course grade will consist of the following:

Homework | 10% |

Midterm 1 | 25% |

Midterm 2 | 25% |

Final Exam | 40% |

A good source of practice problems is the Math 324 Exam Archive compiled by Andrew Loveless.

Another good source are the problem sets and sample exams from the multivariable calculus course made available by MIT here. Our quarter-long course will cover the second half of MIT's (which lasted one semester), but in a slightly different order. Relevant to us are lectures 16 through 35, problem sets 7 through 12, and exams 3 and 4.