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Math 307-101:
(0) Announcements
(1) Review old
(2) Start Card Shuffling
Note: I am Joel fRIEdman (jf@math.ubc.ca)
I am not Joel fELdman
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Announcements:
(1) Homework #1 is set; now due
Monday, Sept 16.
(2) We want to maximize number of
sample exam problems and
number of solutions;
hence: streamline homework:
- Must be on 8.5 x 11
- Must use cover sheet
- Must be stapled upper left
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Welcome to Math 307-101
Google: Joel Friedman UBC Math
http://www.math.ubc.ca/~jf/courses/307
I have set up and am available for brief quests
Today I will end at 1:40pm for questions
Note: I am Joel fRIEdman (jf@math.ubc.ca)
I am not Joel fELdman
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Welcome to Math 307-101
Google: Joel Friedman UBC Math
http://www.math.ubc.ca/~jf/courses/307
Registration Issues: Math 133
Note: I am Joel fRIEdman RIE RIE
I am not Joel fELdman not EL !!
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Required Text: Online Notes + More Free Stuff
Recommended Text: 3,000 Solved
Problems in Linear Algebra
Recommended Software:
Matlab: undergrad math labs
UBC Bookstore $120
ALL SOFTWARE EXAMPLES IN MATLAB (free stuff)
Required Software: Anything that can
peform Matlab computations
e.g., Maple, Octave, Mathematica,
Fortran packages, etc.
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Today:
Computer Part: Matlab and Website Into
Blackboard Part: Card Shuffling
Read: Chapter 0, Section 1 of notes.
Note: Material will be reorganized.
See Also: Chapter 0, Section 0: Sample
Exam Problems.
Friday, Sept 6, 2013: 2 x 2 diag review
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General Comments:
(1) This course is exam-problem based.
Some fully solved; some partially;
some no solutions.
(2) Schedule: 12:45pm In lobby
12:50-1:00pm Setting Up
1:00-1:10pm Computer Part
1:10-1:50pm Blackboard Part
1:52pm In lobby
(3) Critical Thinking: Many norms,
many algorithms. Each is best in
certain situations. Real world
math is not "one size fits all."
E.g., finding eigenvalues.
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More General Comments:
Homeworks set in stone 1pm on week before
due, except to correct errors.
No late homework. 1/2 of homeworks dropped.
Grade = 10% max(h,m,f) + 30% max(m,f)
+ 60 % f
Meet Me: Briefly before/after class
By appointment
Fixed office hours near exams
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Onto Blackboard and Card Shuffling
- Card Shuffling leads to Markov matrices
- It is, at times, possible to work
with smaller matrices
- Start with three cards, A,B,C (6 x 6)
- Reduce in two ways to (3 x 3)
- Symmetry after first step
- Replace A,B,C with A,B,B
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- We need to "review"
- Markov matrices
- Given (Markov) matrix, A
how "to find" A, A^2, A^3,...
A^infinity
i.e., limit as n-> infty
of A^n
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- Review:
Eigenvalues and eigenvectors
(I make most of my living from them)
- Start from first homework problem:
- Diagonalize
A = [ 1/2,1/3 ; 1/2,2/3 ]
Compare 3,000 Solved ... 16.69