# Summer 2023 - CMPT 210 D100

## Overview

• #### Course Times + Location:

May 8 – Aug 4, 2023: Mon, Wed, Fri, 9:30–10:20 a.m.
Burnaby

• #### Exam Times + Location:

Aug 9, 2023
Wed, 3:30–6:30 p.m.
Burnaby

• #### Instructor:

bbart@sfu.ca
1 778 782-4685
• #### 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 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: Binomial and Geometric, Joint distributions
• Tail inequalities: Markov’s Inequality, Chebyshev’s Inequality, Chernoff Bound
• Applications: Verifying matrix multiplication, Max-Cut, Machine Learning, Randomized QuickSort, AB Testing
• Continuous distributions (Introduction): Normal Distribution, Central Limit Theorem

#### NOTES:

There will be multiple evaluations, the details of which to 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

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.