Multivariable Calculus (section 3)
To contact me:
Room MSB 206
Office phone: 486-4237
Office hours: Mondays 1.30 pm and Wednesdays 1.30 pm
bayer@math.uconn.edu
(Or arend.bayer@uconn.edu
in case the former doesn't work.)
The syllabus as PDF, which contains information about exams, grading, etc.
What's next
The final will be Monday, 12/14, 10.30am - 12.30 pm. Update: Here is the study guide for the final. Section 16.9 has been removed, and the earlier chapters have been updated. Another update: Quiz 7 is posted below, with corrected problems and solutions. Yet another update: You are allowed to bring one page (front and back side) of your own, hand-written notes.
There is no homework for this week, but please do enough of the problems for chapter 16.7-8 from the study guide to become familiar with using Stokes' theorem.
SAGE
I suggest you make an account at the SAGE notebook server. Here are the examples we did in class:
New examples: Vector fields. Line Integrals.
Gradient fields and contour maps.
Examples for non-continuous functions (you can use these as a starting point whenever you want to graph a function of two variables): Surface graphs
Surfaces: elliptic paraboloid, ellipsoid, hyperbolic paraboloid, hyperboloid and cone (change the value of k).
Space curves: Spirals and the Twisted Cubic.
There are also skew lines. If you make an account, you can easily change these examples to look at other surfaces or space curves.
Old quizzes
Old quizzes in PDF-format:
- Quiz no. 1: Quiz 1
- Quiz no. 2: Quiz 2
- Quiz no. 3: Quiz 3
- Quiz no. 4: Quiz 4
- Quiz no. 5: Quiz 5
- Quiz no. 6: Quiz 6
- Quiz no. 7: Quiz 7, with corrected problems and sample solutions
Old midterms: