University of Massachusetts, Amherst
Spring 2020
MATH 235.7: Linear ALgebra
(schedule number )
-
The COURSE web page is
here.
Here you will find most of the information about the course.
The course chair for MATH 235 is Weimin Chen,
wchen@math.umass.edu, LGRT 1323K.
The page you are at will contain information specific to our section of 235.
The basic information:
-
Office :
1235I Lederle Graduate Tower.
-
Email :
mirkovic@math.umass.edu
-
Phone :
(413) 545-6023.
-
Meet :
TuTh at
2:30-3:45
in Goessman Lab, Addition, room 152.
-
Office hours :
In my office: Tuesday 11:00-12:00, Wednesday 2:15-3:15.
[[Check here for CHANGES -- temporary or permanent!]]
-
HOMEWORKS
There will be weekly homeworks assigned through My Math Lab
ONLINE TEACHING:
-
Lectures and Office Hours
are both at the usual hours.
There may be extra Lectures or Office Hours, these are announced in
EMAILS.
LECTURES
-
Lectures are on Z O O M at
302-259-524
-
Recordings of Zoom lectures
-
TYPED NOTES
This is a guide to the handwritten zoom notes.
It contains the summary of all material so that you can check whether you know all important things.
Then the details can then be found in the handwritten notes below.
(Sections 4.0-4.1 contain all details.)
Since these are notes on the online part of the course at the moment they start with chapter 4.
-
HANDWRITTEN NOTES of ZOOM LECTURES (improved).
These notes cover chapters 4 and 5.
This ends the coverage of everything that is used on the final exam.
-
Office hours are on Piazza,at:
piaza.com/umass/spring2020/math2357/home (for simple questions)
and simultaneously on zoom (for questions where I need to write extensively).
EXAMS
There will be one midterm (25%), Final (30%), Homeworks (45%).
-
EXAM 1: Thursday February 27, 7:00PM--9:00PM in ISB0135.
Review session will be in our classroom on 25th,
7:00PM--9:00PM.
Make-up exam:
Friday 2/28, 7-9pm. Room TBA.
FINALEXAM
-
May 5th, lasts for 24 hours, starting from 1 AM on the 5th.
-
Practice exam
-
Solutions of the practice exam
-
REVIEW SESSION:
Saturday at 1
-
HOW TO LEARN abstract MATHEMATICS.
The following is what I see as the {\em basic} approach
towards learning mathematics at the conceptual level.
The procedure is
-
(0)
You start by hearing (or reading) of a new idea, new procedure, new trick.
-
(1)
To make sense of it you check what it means in sufficiently many
examples. You discuss it with teachers and friends.
-
(2)
After you see enough examples you get to the point where you
think that you more or less get it. Now you attempt
the last (and critical)
step:
-
(3)
Re-tell this idea or procedure, theorem, proof or
whatever it is, to yourself in YOUR OWN words.
-
More on step (3).
-
Trying to memorize someone else's formulation,
is a beginning but it is far from what you really need.
-
You should get to the stage where you can
tell it as a story,
as if you are teaching someone else.
-
When you can do this, and your story makes sense
to you,
you are done. You own it now.
-
However, if at some point you find
a piece that does not make sense, then you have to
return to one of the earlier steps (1--3) above.
Repeat this process as many times as necessary.