Western University, Summer 2026
Applied Probability and Statistics for Engineers
Students will learn how to visualize and analyse continuous and categorical data using
modern data science tools. Concepts of distributions, sampling, estimation, confidence
intervals, experimental design, inference, and correlation will be introduced in a
practical, data-driven way.
Online — video lectures on OWL
Open course page
Probability & Statistics I
Probability axioms, conditional probability, Bayes' theorem. Random variables motivated
by real data and examples. Parametric univariate models as data reduction and
description strategies. Multivariate distributions, expectation and variance. Likelihood
function will be defined and exploited as a means of estimating parameters in certain
simple situations.
Online — video lectures on OWL
Open course page
Recent
DS 1000
Winter 2026, Fall 2025
Data Science Concepts
This course introduces students to foundational concepts in data science, focusing on
the visualization and analysis of both continuous and categorical data. Concepts covered
include data visualization, summary statistics, regression, categorical data analysis,
probability, central limit theorem, confidence intervals and experimental design.
Emphasis is placed on practical, data-driven examples to develop independent
problem-solving skills and connect theoretical concepts to meaningful analysis through
Python.
Western University
Open course page
Probability
Introductory probability: sample spaces, independence, conditional probability, Bayes'
Theorem, and named distributions (Binomial, Poisson, Normal, etc.). Covers random variables,
joint/marginal/conditional distributions, means, variances, covariances, and the Central
Limit Theorem.
University of Waterloo
Introduction to Combinatorics
Introduction to graph theory: colourings, matchings, connectivity, planarity. Introduction to
combinatorial analysis: generating series, recurrence relations, binary strings, plane
trees.
University of Waterloo