# Fall 2022 - CMPT 210 D100

## Overview

• #### Course Times + Location:

Sep 7 – Dec 6, 2022: Mon, Wed, Fri, 9:30–10:20 a.m.
Burnaby

• #### Exam Times + Location:

Dec 16, 2022
Fri, 12:00–3:00 p.m.
Burnaby

• #### Instructor:

Andrei Bulatov
abulatov@sfu.ca
1 778 782-6913
• #### Prerequisites:

MACM 101, MATH 152, and MATH 240, all with a minimum grade of C-.

## Description

#### CALENDAR DESCRIPTION:

Probability has become an essential tool in modern computer science with applications in randomized algorithms, computer vision and graphics, systems, data analysis, and machine learning. The course introduces the foundational concepts in probability as required by many modern applications in computing.

#### COURSE DETAILS:

The course introduces the foundational concepts in probability as required by many modern applications in computing. It will give the students in Computing Science experience in (1) understanding the combinatorial nature of computational problems, and (2) working knowledge of probability theory, with applications to computing (algorithms, data science, etc)

## Topics

• Combinatorics: Permutations, Binomial coefficients, Inclusion-Exclusion
• Basic probability theory: Random variables, Expectation, Linearity of Expectation, Variance
• Discrete distributions: Binomial and Geometric
• Joint distributions, Independence, Conditional probability, Bayes' Theorem
• Markov’s Inequality, Chebyshev’s Inequality, Chernoff Bound
• Normal Distribution, Central Limit Theorem (introduction)
• Applications: Verifying matrix multiplication, Approximating pi, Testing primality
• Applications: Karger's min-cut algorithm / Hashing
• Applications: Markov Chains / PageRank

#### NOTES:

There will be multiple assignments, midterms, and a final exam. The details will be discussed in the first week of classes.

Students must attain an overall passing grade on the weighted average of exams in the course in order to obtain a clear pass (C- or better).

## Reference Books

• Introduction to Probability and Statistics for Engineers and Scientists, Sixth Edition, Sheldon M. Ross, 978-0128243466