120 Free Online Math Courses from the World’s Top Universities (2024)

May 23, 2023 / #Advanced Mathematics

Manoel

120 Free Online Math Courses from the World’s Top Universities (1)

In this article, I compiled 120 free online courses offered by the 60 best universities in the world for studying math in 2023.

I did so by combining popular university rankings to identify the best institutions, and then I used the Class Central database to find all their math online courses.

If you’d like to jump to the course list, you can jump directly to the course list. If you’d like to know how I built the list, or if you’d like to look at the raw data or Jupyter Notebook, keep reading.

Methodology

Combined ranking: top-10 universities for studying mathematics in 2023

I built the list following the same data-driven approach I used to build my list of computer science courses from the top CS universities.

First, I identified the leading world university rankings. Since I was specifically interested in math, I looked at their latest rankings of the best universities for studying math (or closest superset). Here are the rankings I ended up using:

Second, I scraped each ranking. In the simplest cases, this involved finding the underlying API, allowing me to directly request the ranking data in JSON format using Scrapy. In the most complex case, this involved crawling the ranking page by page using Playwright.

You can find the implementation details and raw data in my GitHub repo.

Third, I used JupyterLab to process the data. In essence, this involved cleaning the raw data, normalizing the university names across the rankings, and combining the three rankings into one by averaging the position of each institution across each ranking.

Online Math Courses

The full list is split into subjects. Click on a subject below to go to the relevant section.

General Mathematics
Algebra
Calculus

With 120 courses to pick from, I hope you find something you like. But if these aren’t enough, check out the Class Central catalog, which has over 150K online courses, many of them free or free-to-audit.

Introduction to Mathematical Thinking from Stanford University ★★★★☆(53)
Effective Thinking Through Mathematics from The University of Texas at Austin ★★★★★(14)
How to Learn Math: For Students from Stanford University ★★★★☆(17)
Convex Optimization from Stanford University ★★★★★(8)
Mathematical Thinking in Computer Science from University of California, San Diego ★★★★★(2)
A-level Mathematics for Year 12 - Course 1: Algebraic Methods, Graphs and Applied Mathematics Methods from Imperial College London ★★★★★(2)
Fun with Prime Numbers: The Mysterious World of Mathematics from Kyoto University ★★★★☆(2)
Cómo Aprender Matemáticas - Para Estudiantes from Stanford University
Transfer Functions and the Laplace Transform from Massachusetts Institute of Technology
Delivery Problem from University of California, San Diego
Analyse I (partie 1) : Prélude, notions de base, les nombres réels from École Polytechnique Fédérale de Lausanne
Analyse I (partie 2) : Introduction aux nombres complexes from École Polytechnique Fédérale de Lausanne
Analyse I (partie 3) : Suites de nombres réels I et II from École Polytechnique Fédérale de Lausanne
Analyse I (partie 4) : Limite d'une fonction, fonctions continues from École Polytechnique Fédérale de Lausanne
Analyse I (partie 5) : Fonctions continues et fonctions dérivables, la fonction dérivée from École Polytechnique Fédérale de Lausanne
Analyse I (partie 6) : Etudes des fonctions, développements limités from École Polytechnique Fédérale de Lausanne
Analyse I (partie 7) : Intégrales indéfinies et définies, intégration (chapitres choisis) from École Polytechnique Fédérale de Lausanne
A-level Further Mathematics for Year 12 - Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations and Vectors from Imperial College London
A-level Further Mathematics for Year 13 - Course 1: Differential Equations, Further Integration, Curve Sketching, Complex Numbers, the Vector Product and Further Matrices from Imperial College London
Further Mathematics Year 13 course 2: Applications of Differential Equations, Momentum, Work, Energy & Power, The Poisson Distribution, The Central Limit Theorem, Chi Squared Tests, Type I and II Errors from Imperial College London
离散数学 from Shanghai Jiao Tong University
More Fun with Prime Numbers from Kyoto University
Introduction to Complexity Science from Nanyang Technological University
Introduction to Graph Theory from University of California, San Diego ★★★★☆(1)
Graph Theory and Additive Combinatorics (Fall 2019) from Massachusetts Institute of Technology
Cours préparatoire: Fonctions Trigonométriques, Logarithmiques et Exponentielles from École Polytechnique Fédérale de Lausanne ★★★★☆(1)
离散数学概论 Discrete Mathematics Generality from Peking University
Discrete Mathematics from Shanghai Jiao Tong University

Intro to Statistics from Stanford University ★★★★☆(39)
Probability - The Science of Uncertainty and Data from Massachusetts Institute of Technology ★★★★★(34)
Statistical Learning from Stanford University ★★★★☆(28)
Bayesian Statistics from Duke University ★★★☆☆(12)
Fundamentals of Statistics from Massachusetts Institute of Technology ★★★★☆(10)
Introduction to Probability and Data with R from Duke University ★★★★☆(6)
Fat Chance: Probability from the Ground Up from Harvard University ★★★★★(5)
Statistical Inference and Modeling for High-throughput Experiments from Harvard University ★★★★★(4)
Computational Probability and Inference from Massachusetts Institute of Technology ★★★★★(3)
Introduction to Statistics from Stanford University ★★★★★(2)
Statistics: Unlocking the World of Data from University of Edinburgh ★★★★☆(2)
Introduction to Probability from Harvard University ★★★★★(1)
Statistics for Applications (Fall 2016) from Massachusetts Institute of Technology ★★★★★(1)
A Crash Course in Causality: Inferring Causal Effects from Observational Data from University of Pennsylvania ★★★★☆(1)
Hypothesis Testing in Public Health from Johns Hopkins University ★★★★★(1)
Summary Statistics in Public Health from Johns Hopkins University ★★★★★(1)
Multiple Regression Analysis in Public Health from Johns Hopkins University ★★★★★(1)
Introduction to Statistics & Data Analysis in Public Health from Imperial College London ★★★★★(1)
Introduction to Probability Management from Stanford University
Probabilistic Systems Analysis and Applied Probability (Fall 2010) from Massachusetts Institute of Technology
Probabilistic Systems Analysis and Applied Probability (Fall 2013) from Massachusetts Institute of Technology
Introduction to Probability: Part II – Inference & Processes from Massachusetts Institute of Technology
What are the Chances? Probability and Uncertainty in Statistics from Johns Hopkins University
Causal Inference 2 from Columbia University
Causal Inference from Columbia University
R을 사용한 확률 및 데이터 소개 from Duke University
Inferenzstatistik from Duke University
Inferential Statistics from Duke University
Probability and Statistics IV: Confidence Intervals and Hypothesis Tests from Georgia Institute of Technology
Probability and Statistics II: Random Variables – Great Expectations to Bell Curves from Georgia Institute of Technology
Probability and Statistics III: A Gentle Introduction to Statistics from Georgia Institute of Technology
Probability and Statistics I: A Gentle Introduction to Probability from Georgia Institute of Technology
Probability: Basic Concepts & Discrete Random Variables from Purdue University
Probability: Distribution Models & Continuous Random Variables from Purdue University
Selected Topics on Discrete Choice from École Polytechnique Fédérale de Lausanne
Logistic Regression in R for Public Health from Imperial College London
Survival Analysis in R for Public Health from Imperial College London
Statistics Using Python from University of Wisconsin–Madison

Linear Algebra - Foundations to Frontiers from The University of Texas at Austin ★★★★☆(14)
Introduction to Linear Models and Matrix Algebra from Harvard University ★★★★☆(12)
Mathematics for Machine Learning: Linear Algebra from Imperial College London ★★★☆☆(8)
Matrix Methods in Data Analysis, Signal Processing, and Machine Learning (Spring 2018) from Massachusetts Institute of Technology ★★★★★(2)
Algèbre Linéaire (Partie 1) from École Polytechnique Fédérale de Lausanne ★★★★★(2)
Linear Algebra III: Determinants and Eigenvalues from Georgia Institute of Technology ★★★★★(1)
Linear Algebra IV: Orthogonality & Symmetric Matrices and the SVD from Georgia Institute of Technology ★★★★★(1)
Algèbre Linéaire (Partie 3) from École Polytechnique Fédérale de Lausanne ★★★★★(1)
Algèbre Linéaire (Partie 2) from École Polytechnique Fédérale de Lausanne ★★★★★(1)
Linear Regression in R for Public Health from Imperial College London ★★★★★(1)
Linear Algebra (Fall 2011) from Massachusetts Institute of Technology
Linear Algebra II: Matrix Algebra from Georgia Institute of Technology
Linear Algebra I: Linear Equations from Georgia Institute of Technology
Advanced Linear Algebra: Foundations to Frontiers from The University of Texas at Austin
Data Science: Linear Regression from Harvard University
Linear Regression and Modeling from Duke University
Analytic Combinatorics from Princeton University ★★★★☆(3)
Algebra: Elementary to Advanced - Functions & Applications from Johns Hopkins University ★★★★☆(1)
Algebra: Elementary to Advanced - Polynomials and Roots from Johns Hopkins University
Algebra: Elementary to Advanced - Equations & Inequalities from Johns Hopkins University
Optimization: principles and algorithms - Linear optimization from École Polytechnique Fédérale de Lausanne

Calculus: Single Variable Part 1 - Functions from University of Pennsylvania ★★★★★(8)
Calculus: Single Variable Part 2 - Differentiation from University of Pennsylvania ★★★★★(5)
Calculus: Single Variable Part 3 - Integration from University of Pennsylvania ★★★★☆(4)
Introduction to Differential Equations from Massachusetts Institute of Technology ★★★★★(7)
Differential Equations: 2x2 Systems from Massachusetts Institute of Technology ★★★★★(5)
Differential Equations: Fourier Series and Partial Differential Equations from Massachusetts Institute of Technology ★★★★★(3)
Calculus: Single Variable Part 4 - Applications from University of Pennsylvania ★★★★★(3)
Calculus Applied! from Harvard University ★★★★★(2)
Combinatorial Mathematics | 组合数学 from Tsinghua University ★★★★☆(2)
Single Variable Calculus (Fall 2006) from Massachusetts Institute of Technology ★★★★★(1)
Calculus through Data & Modeling: Differentiation Rules from Johns Hopkins University ★★★★☆(1)
Differential Equations: Linear Algebra and NxN Systems of Differential Equations from Massachusetts Institute of Technology ★★★★★(2)
Differential Equations (Fall 2011) from Massachusetts Institute of Technology ★★★★★(1)
Single Variable Calculus from University of Pennsylvania
Calculus through Data & Modeling: Applying Differentiation from Johns Hopkins University
Calculus through Data & Modeling: Limits & Derivatives from Johns Hopkins University
Calculus through Data & Modeling: Precalculus Review from Johns Hopkins University
Calculus through Data & Modelling: Techniques of Integration from Johns Hopkins University
Calculus through Data & Modelling: Series and Integration from Johns Hopkins University
Applied Calculus with Python from Johns Hopkins University
Calculus through Data & Modelling: Integration Applications from Johns Hopkins University
A-Level Further Mathematics for Year 12 - Course 2: 3 x 3 Matrices, Mathematical Induction, Calculus Methods and Applications, Maclaurin Series, Complex Numbers and Polar Coordinates from Imperial College London
Discovery Precalculus: A Creative and Connected Approach from The University of Texas at Austin ★★★★★(3)
Precalculus from Modern States ★★★★★(1)
Precalculus: Relations and Functions from Johns Hopkins University
Precalculus: Periodic Functions from Johns Hopkins University
Precalculus: Mathematical Modeling from Johns Hopkins University
Multivariable Calculus (Fall 2007) from Massachusetts Institute of Technology ★★★★★(1)
Calculus through Data & Modelling: Vector Calculus from Johns Hopkins University

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