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Physics 330 Additional Problems Week 1 (Wednesday) Name k E (
g
a
Three vectors are represented at the right by arrows. l have chosen to call 5)
the vectors Zr, 5 and E . Suppose that |a1=4, l5|:2 and [c]:3. Below, when 5°"
you are told to draw a ve
Physics 330
Group Work
Divergence and Stokes Theorems
Name_
1 Four of the following vector fields have zero divergence, and three have zero curl. Which? Provide
justification using the divergence and Stokes theorems.
(a)
(b)
(c)
(d)
(e)
(f)
Introduction to Linear Algebra
Jim Kelly
Centre College, 2009
The purpose of these notes is to present a different introductory view of linear algebra from the one given in
our text. Our text, along with almost every other one, introduces linear algebra a
Give three different examples of orthogonal sets of functions that weve discussed in class, and
the intervals they are 01thogonal on. Each set should contain an innite number of functions, and
none of the three examples should share more than one of the
Physics 330 Exam 2 Name E \(
12,,
~7<
m (a) Specify a vector in L2 that is nonzero everywhere and has domain (oo,oo): e
- L
(b) Specify a' function with domain (oo,oo) that is not in .L2 : X
i
I m x > 3 \J '
(c) Is the function f(x) : <3 in L2 ? M2