Unit 1 Assignment

Math 311 Assignment for Unit 1 Spring 2013

Due: In class Friday February 1, 2013

Use a few sentences in paragraph form for each answer in exercise 1.2.1
You might think some of these parts have the same answer,
but there are subtle differences (English is more subtle than equations).
Pay attention to these differences. You should understand that
the answers ARE bascially the same and also understand the differences.
Exercise: 1.2.3
Exercise: 1.2.5.
You don't need to hand this in, but do problem 1.4.1 parts b,c,e,f.
Exercise: 1.4.7 parts a,c
Exercise: 1.4.9
Exercise: 1.4.11
Exercise: 1.5.2
For problems from section 2.2, you should use the definitions as given
in the text. Also, a linear combination of linear operators is written
c₁L₁+c₂L₂+c₃L₃+...+c_nL_n
Exercise: 2.2.1 Hint: start with n=2 and then use induction to show for any n.
Exercise: 2.2.3
Exercise: 2.2.4