# Fall 2024 - CMPT 210 D100

## Overview

• #### Course Times + Location:

Sep 4 – Oct 11, 2024: Tue, 8:30–10:20 a.m.
Burnaby

Oct 16 – Dec 3, 2024: Tue, 8:30–10:20 a.m.
Burnaby

Sep 4 – Dec 3, 2024: Thu, 8:30–9:20 a.m.
Burnaby

• #### Prerequisites:

MACM 101, MATH 152, CMPT 125 or CMPT 135, and (MATH 240 or MATH 232), 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 computing students experience in 1. Understanding the combinatorial nature of many computational problems. 2. Working knowledge of probability theory, with applications to computing (e.g., algorithms, machine learning, data analysis, etc.).

## Topics

• Combinatorics: Permutations, Binomial coefficients, Inclusion-Exclusion
• Basic probability theory: Independence, Conditional probability, Bayes' Theorem
• Basic probability theory: Random variables, Expectation, Linearity of Expectation, Variance
• Discrete distributions: Bernoulli, Binomial, Geometric, Joint distributions
• Tail inequalities: Markov’s Inequality, Chebyshev’s Inequality, Chernoff Bound
• Applications: Verifying matrix multiplication, Max-Cut, Voter Poll, Machine Learning, Randomized QuickSelect

#### NOTES:

There will be multiple evaluations, the details of which are to be discussed in the first week of classes.

## Reference Books

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

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.