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Mathematical Foundations of Machine Learning

Mathematical Foundations of Machine Learning is a beginner-level online course from Udemy in Machine Learning. It is structured in 11 modules with 8 stated learning outcomes. It is free to enrol, and a certificate is available on completion. Learners rate it 4.3/5 from 8.5K ratings on Udemy, with 146.8K enrolled.

Part of our Machine Learning courses collection, where we compare it against 9 other courses.

★★★★★4.3(8.5K reviews) 146.8K learners English

Course highlights

Provider Udemy
Level Beginner
Mode Self-paced
Language English
Certificate Yes — shareable certificate
Rating 4.3★ (8.5K reviews)
Learners 146.8K
Price Free Free

What you’ll learn

Understand the fundamentals of linear algebra and calculus, critical mathematical subjects underlying all of machine learning and data science
Manipulate tensors using all three of the most important Python tensor libraries: NumPy, TensorFlow, and PyTorch
How to apply all of the essential vector and matrix operations for machine learning and data science
Reduce the dimensionality of complex data to the most informative elements with eigenvectors, SVD, and PCA
Solve for unknowns with both simple techniques (e.g., elimination) and advanced techniques (e.g., pseudoinversion)
Appreciate how calculus works, from first principles, via interactive code demos in Python
Intimately understand advanced differentiation rules like the chain rule
Compute the partial derivatives of machine-learning cost functions by hand as well as with TensorFlow and PyTorch

Level and time commitment

Udemy lists this course at Beginner level.
No prior experience in the subject is assumed — this is where the provider expects a newcomer to start.

Skills you’ll gain

Thing

What this course covers

11 modules

The 11-part outline Udemy publishes for this course.

Module 1 · Data Structures for Linear Algebra
Module 2 · Tensor Operations
Module 3 · Matrix Properties
Module 4 · Eigenvectors and Eigenvalues
Module 5 · Matrix Operations for Machine Learning
Module 6 · Limits
Module 7 · Derivatives and Differentiation
Module 8 · Automatic Differentiation
Module 9 · Partial Derivative Calculus
Module 10 · Integral Calculus
Module 11 · Probability

What learners rate it

4.3
★★★★★
8.5K ratings

Rated 4.3/5 by 8.5K learners on Udemy (checked 25 Aug 2026).

This rating is collected by Udemy from its own enrolled learners. We reproduce it as reported and do not accept paid or incentivised reviews. See it on Udemy →

How this page is put together

Compiled by the 10courses editorial desk. Fees, ratings, duration and certificate details for the 1 course shown are read directly from Udemy course pages — we never estimate a price or a rating. Last verified 25 August 2026.

How we compare and rank courses · Our review policy · Affiliate disclosure

Compare with alternatives

Same topic, different trade-offs — here's who runs each one and what it's best at.

Course Provider Rating Price Duration Why pick this one
Mathematical Foundations of Machine Learning This Udemy 4.3★ Free Free — and still gives a certificate
Machine Learning Coursera 4.9★ Check price 2 months Highest rated (4.9★ from 39.2K reviews)
Machine Learning with Python Coursera 4.7★ Check price 20h 26m Quickest to finish (20h 26m)
Machine Learning: Classification Coursera 4.7★ Check price 21h 25m Beginner-friendly · 21h 25m
See all Machine Learning courses →

Where Machine Learning leads

Roles we map to Machine Learning on 10courses. This is our own mapping of subject to job, not a placement claim by Udemy.

Data Scientist

Browse every course we track for one of these — courses for data scientists.

Common questions

Is Mathematical Foundations of Machine Learning free?

Yes. Udemy lists it as free to enrol. A certificate is available on completion — providers often charge separately for the certificate even when the course itself is free, so check the fee on the provider page before you count on it.

Does Mathematical Foundations of Machine Learning come with a certificate?

Yes — Udemy lists a certificate on completion. It is a course certificate, not a formal qualification or university credit.

Is Mathematical Foundations of Machine Learning suitable for beginners?

Yes. Udemy lists it at Beginner level, so no prior experience in the subject is assumed.

What does Mathematical Foundations of Machine Learning cover?

It is organised into 11 modules, starting with Data Structures for Linear Algebra and going on to Tensor Operations, Matrix Properties, Eigenvectors and Eigenvalues, Matrix Operations for Machine Learning, among others. The full outline is on this page.