BioMath 2007

The DIMACS BioMAP Field Testers' Workshop

Rutgers University
July 18 - July 24, 2007

Description of Helpful Mathematical Background Material
Math Pre-Program, Biology Pre-Program
 



Description of Helpful Mathematical Background Material

Combinatorics and Probability
Graph Theory
Mathematics
Other
Counting Principles
   - multiplication (product) rule

Basics of probability
   - outcomes and events
   - equally likely outcomes
   - multiplication (product) rule
What is a graph
   - vertices (nodes)
   - edges (arcs)

Regular graphs
   - in particular, 2-regular

Edge-weighted graphs

Trees
   - leaves
   - binary trees
   - rooted vs. unrooted
Logarithms
   - logs base 2 and 10
   - facility with computations
   - log rules
       - log(ab) = log a + log b
       - log(ar) = r log a

Matrices
   - matrix multiplication
 

Strings over an alphabet
   - substrings
   - superstrings
   - enumeration of strings