Difference between revisions of "CR: COMP 2804 Learning Objectives"

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=Calendar Description=
=Calendar Description=
COMP2804 Discrete Structures II
Introduction to discrete mathematics and discrete structures. Topics include: counting, sequences and sums, discrete probability (including random variables, expectation, linearity of expectation, dependence, concentration results, distributions), recurrence relations. Material is illustrated through examples from computing.


=Assumed Background=
=Assumed Background=

Revision as of 13:32, 22 March 2011

Calendar Description

COMP2804 Discrete Structures II

Introduction to discrete mathematics and discrete structures. Topics include: counting, sequences and sums, discrete probability (including random variables, expectation, linearity of expectation, dependence, concentration results, distributions), recurrence relations. Material is illustrated through examples from computing.

Assumed Background

  • COMP 1805

Learning Objectives

Objectives for the whole course


Topics

  • Counting: Permutations, Combinations, Binomial Coefficients, Pigeon-Hole Principle, Inclusion-Exclusion.
  • Asymptotic Complexity: O, Theta.
  • Probability: Random Variables, Expected Value, Indicator, Markov Inequality, Chernoof Bounds.
  • Randomized Algorithms: Median, Quicksort, Binary Search Trees, Skip Lists, 2-dimensional Linear Programming.
  • Statistics: Confidence tests and Intervals, Hypothesis Testing.