MIT 6.0002: using computation to understand data — optimisation, simulation, statistics and an introduction to machine learning.
The full MIT course, free on OpenCourseWare with lecture videos, notes and problem sets. It teaches how to use Python to solve problems through computational models, stochastic simulation, statistical thinking and introductory machine learning.
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Google's entry-level data analytics programme: spreadsheets, SQL, Tableau and R, with a portfolio case study.
A beginner-friendly course on querying data with SQL: filtering, sorting, joins, subqueries and data preparation.
Harvard's series on data science with R: basics, visualisation, probability, inference, wrangling, machine learning and a capstone.