MAT 280 UC Davis, Winter 2011
Longest increasing subsequences and combinatorial probability
Homework Set 1
Homework due: Wednesday 2/2/11
1. Let = limn n / n as in Theorem 6 in the lecture notes. The goal of this
problem is to show that the bounds 1 e tha
MAT 280 UC Davis, Winter 2011
Longest increasing subsequences and combinatorial probability
Homework Set 2
Homework due: Wednesday 2/2/23
1. If f is a continual Young diagram and g is its rotated version, let
f ( x)
K (g ) = Ihook (f ) =
log hf (x, y ) dy
MAT 280 UC Davis, Winter 2011
Longest increasing subsequences and combinatorial probability
Homework Set 2
Homework due: Wednesday 2/23/11
1. If f is a continual Young diagram and g is its rotated version, let
f ( x)
K (g ) = Ihook (f ) =
log hf (x, y ) d
MAT 280 UC Davis, Winter 2011
Longest increasing subsequences and combinatorial probability
Homework Set 3
Homework due: Wednesday 3/16/11
1. Prove the summation identity
n
k=0
(1)k n
k+ k
=
n!
( + 1) . . . ( + n)
(n 0),
which was used in the proof of the
Math 280: Mathematical Introduction to Shock Waves
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Abstract
This class is a mathematical introduction to the theory of shock waves
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Conservation laws are syst
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MAT280 Proposal: Numerical solution of integral equations
Course title: Recent advances in the numerical solution of boundary integral equations
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Lecture 17:
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tom denton
13 February, 2009
The goal of this section is to use rcgraphs to show that the set of Schubert
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Introduction to Differential Geometry and General Relativity
MATH 280

Fall 2010
Claim of Learning Assignment
This assignment is an opportunity to support a claim of what you have learned in this course. In the course syllabus there are a series of learning goals or objectives.
You will choose two of those goals/objectives and create