Introduction to Discrete Structures II

01:198:206

Fall 2007
  • Szemeredi, Endre
Spring 2006

Description

Provides the background in combinatorics and probability theory required in design and
analysis of algorithms, in system analysis, and in other areas of computer science.

Credits: 4

Prerequisites: 01:198:205 or 14:332:202; 01:640:152. Credit not given for this course and 01:640:477.

Please note that courses for which a student has received a grade of D cannot be used to satisfy prerequisite requirements.

Semesters Offered:

Spring and fall

Topics:

Counting: Binomial Coefficients, Permutations, Combinations
Recurrence Relations
Discrete Probability:
Events and Random Variables
Conditional Probability, Independence
Expectation, Variance, Standard Deviation
Binomial, Poisson and Geometric Distributions
Regular Sets, Finite Automata
Graph Theory: Paths, Components, Connectivity, Euler Paths, Hamiltonian Paths, Planar Graphs, Trees

Expected Work:

Weekly assignments; 1 or 2 programs

Exams:

1 or 2 hourlies, Final Exam

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