Basic Arithmetic & Number Skills
- Arithmetic and order of operations
- Negative numbers and rounding
- Fractions, decimals and percentages
- Ratio, proportion and estimation
Learning path
Math courses
Explore free learning rooms and selected university course materials. Every course link opens the provider’s own course page.
MIT OpenCourseWare materials are free to study. Coursera enrollment and audit options can vary by course and region.
Beginner path
Algebra
- Variables and expressions
- Solving linear equations
- Inequalities and sequences
- Factorising and quadratics
Geometry
- Coordinates and lines
- Angles and shapes
- Triangles and Pythagoras
- Transformations and area
Intermediate path
Trigonometry
- Sine, cosine and tangent
- Graphs and identities
- Right triangles and angles
- Radians and wave patterns
Statistics & Probability
- Mean, median, mode and spread
- Probability, distributions and trees
- Correlation and regression
- Sampling and interpretation
Vectors & Matrices
- Matrices and transformations
- Vectors and dot products
- Series and combinatorics
- Proof and logic foundations
University course materials
MIT OpenCourseWare: Linear Algebra Imperial College London: Mathematics for Machine LearningAdvanced path
Calculus
- Derivatives and rates of change
- Integration and area
- Multivariable calculus
- Limits and proof-based thinking
University course materials
MIT OpenCourseWare: Single Variable Calculus Imperial College London: Mathematics for Machine LearningDifferential Equations
- Growth and decay models
- Motion and change
- First and second order equations
- Applications in science and data
University course materials
MIT OpenCourseWare: Differential EquationsLinear Algebra
- Linear algebra for ML
- Probability and optimisation
- Statistics for models and data
- Numerical methods and learning
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Complete the foundation topics first, then unlock the next stage in your roadmap.
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Study plan
Spend 30 minutes studying the idea, 30 minutes practising, and 10 minutes explaining the method out loud. Use the topic library for revision and deeper examples.
1 topic a day
Focus on one concept at a time and finish the checklist before moving on.
Review and revise
Repeat the harder topics and complete short mixed practice questions.
Explain it out loud
Teaching the method to yourself helps you remember and understand the idea.