
Renzo's class 


MWF 3 – 3:50 pm 


ENGRG E 105
// in the oval with good weather 







TEXTBOOK:
Linear Algebra Done Right
Sheldon Axler
LaTeX CHEATSHEET:
Office
hours : the official office hours for this
class are following each lecture. However, you are very welcome to make an
appointment and come ask questions, make comments, or just chat. You can also
try showing up at my door anytime. But I might tell you to come back at another
time if I am immersed into something else.
The tables of the law for this class are contained in the
following document:
Syllabus
Homework: math math is not a
sport for bystanders. Getting your hands dirty is important to make sure that things sink in and you
are not just spending a semester assisting to my creative rambling. Homework
will be due pretty much every Friday (but see below for the uptodate
information). I will NOT grade
all the problems I assign. If one of the problems you feel unsure about
doesn’t get graded, please don’t go “Whew! Lucky one!”
but rather come ask me about it. The point is you understanding, not pretending
to!!
READ CAREFULLY!! In fact, here is the homework grading policy. For every assignment, you are
supposed to write up all problems. However you need to identify two questions: the one that you feel have done
best on (which will be graded), and the one where you feel you have done worst
on (which will be looked at and commented but not graded. This is supposed to
force you to selfevaluate your own understanding, and to maximize the
efficiency with which I can give you the most needed feedback.
DATE DUE: 

Monday Feb 3^{rd} 
Read Chapter 1 in the book
and bring to class any questions/comments/doubts you may have. 
Feb 7^{th} 
1) Give
an example of a vector space V which is linearly isomorphic to
the direct sum of two vector subspaces of itself, and give an example of a vector space V which is linearly
isomorphic to the sum (but not the
direct sum) of two vector subspaces of itself. 2) Exercises:
1, 2, 7, 6, 8, 9 page 35 (chapter 2) 
Feb 14^{th} 
Read Chapter 2 in the book and bring to class any questions/comments/doubts you may have. Exercises 10, 11, 12, 15 pages 3536 (chapter 2) Exercises 1, 4, 5, 10, 25 pages 5961
(chapter 3) 
Mar 7^{th} 
Exercises 3, 4, 5, 6, 8, 9, 14, 18, 20 pages 9496 (chapter 5) 
Mar 14^{th} (Pi day!) 
Exercises 2, 3, 5, 6, 9, 10, 11 pages 122123 (chapter 6) 
Mar 28^{th} 
Exercises 12, 14, 18, 26, 29, 30, 31, 32 pages 123125 (chapter 6) 
Apr 9^{th} 
If you work alone: (a) write down one
question about any of the material in the course you are particularly
confused about. 
Apr 21^{st} 
Write down a scheme/summary of the important
concepts in chapters 5,6,7 and their connections.
Keep it under two pages. 
Apr 25^{th} 
Exercises 4, 6, 8 (assume standard inner
product in R^3), 16, 18, 21, 23, 25, 28, 29, 30. Challenge: 20. Pages
158161. 
May 5^{th} 
Exercises 3, 5, 6, 7, 10, 11, 14, 22, 23.
Pages 188190. 









Exams:
There
will be one assessment exam, two midterms and a final.