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ECS509U Probability and Matrices

Module code: ECS509U

Credits: 15
Semester: SEM1

This module aims to equip you with the necessary background and techniques so that you can understand and solve problems of probability theory and of basic linear algebra. The module also aims to make the relationship and applications of these topics to Computer Science clear.

Topics covered include:

  • Introduction to Probability Theory
  • Conditional Probability & Sampling
  • Bayes Theorem
  • Random Variables and the Binomial Model
  • Applications of Probability Theory to Computer Science
  • Introduction to the Algebra of Matrices
  • Solving Systems of Linear Equations
  • Introduction to Vector Algebra
  • Vector Spaces, Linear Independence, Spanning Sets
  • Vector Spaces, Dimension, Basis and Change of Basis

Level: 5