Multivariable calculus

Exam 2 Answers

Week Topics Sections
1 Vectors in 3-space 12.1- 12.8
2 Vector-valued functions 13.1-13.4
3 Unit tangent, normal, and binormal vectors: curvature 13.5, 13.7
Exam 1
4 Partial derivatives 14.1-14.5,
5 Directional derivatives 14.6-14.9
6 Multiple integrals 15.2-15.3
Exam2
7 Multiple integrals over nonrectangular regions
8 Double integrals in polar coordinates 15.3-15.4
9 Triple integrals 15.5-15.6
Exam 3 Theorem of Pappus
10 Jacobeans 15.8
Line integrals and Green's theorem; Review for Final 16.1-16.4

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Supplementary web pages will use MathML, which can only be viewed by the Mozilla Web Browser

  1. Install Mozilla from Page for obtaining the Mozilla browser
    It will also be necessary to install math fonts for this browser. Information on how to install these can be found on
    The MathML Fonts Page
    For linux users, the necessary fonts can be found in: mozilla-math.tar.gz (these should be installed in X windows).

Math web pages for this course will not necessarily even show up in other browsers! Once you have installed Mozilla and the fonts, you can check your installation by viewing:

The MathML Start Page

Use this to check whether MathML is working properly on your web browser. Unfortunately, the Windows version of Mozilla seems to have a bug that will cause it to complain about missing fonts even though the fonts are there (and Mozilla is using them correctly).

Lecture Notes

Homework

  1. p. 812 # 31, p. 823 # 34, 36

Links


Justin R. Smith

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