Science

Mathematics

Numbers, shapes, change and chance

4 areas 11 topics 14 free resources 6 topics ready to explore
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Foundations

Start here: core skills, proofs and shapes

3 resources
Maths basics Arithmetic, algebra and the skills every other topic builds on Coming soon Geometry Shapes, space and visual reasoning 3 resources Proofs & logic How mathematicians reason and write rigorous arguments Coming soon

Calculus & analysis

Change, motion and the continuous

7 resources
Calculus Rates of change, limits, derivatives and integrals 3 resources Differential equations Equations that describe how systems evolve over time 4 resources Analysis & topology The rigorous foundations of calculus and space Coming soon

Algebra & discrete maths

Structures, vectors and counting

2 resources
Linear algebra Vectors, matrices and the maths behind graphics and ML 1 resource Discrete maths Counting, graphs and the maths of computer science Coming soon Algebra & number theory Groups, rings, primes and the structure of numbers 1 resource

Statistics & applied maths

Data, chance and real-world modelling

2 resources
Statistics & probability Chance, data and drawing conclusions from evidence 2 resources Applied & numerical maths Using maths and computers to model real problems Coming soon

New to Mathematics?

Great places to start

D YouTube Staff pick 3Blue1Brown · YouTube

Differential Equations - 3Blue1Brown

Eight visually stunning videos building geometric intuition for ODEs phase portraits and Fourier series. Beginner 2 – 10 hrs Video series No prerequisites View E YouTube Staff pick 3Blue1Brown · YouTube

Essence of Calculus

Twelve animated videos building deep intuition for derivatives integrals and the fundamental theorem. Beginner 2 – 10 hrs Video series No prerequisites View S Website Staff pick Daniel Kunin · Brown University

Seeing Theory - A Visual Introduction to Probability

Animated interactive textbook covering distributions Bayes theorem regression and inference visually. Beginner 2 – 10 hrs Interactive tutorial No prerequisites View YouTube 3Blue1Brown · YouTube

But what is a differential equation? - intro context

A 20-minute visual answer to what differential equations are and why they appear everywhere in science. Beginner Under 30 min Single video No prerequisites View

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