Learn Mathematics
Mathematics is the language that describes how the universe works. Start with fundamentals and build toward the calculus needed for physics.
Eight essential topics. Self'paced. Building from arithmetic to derivatives and integrals.
Learning Path
Geometry & Space
Understand shapes, angles, and quantities with direction.
Calculus & Change
Measure rates of change and accumulation.
Topics
Number
The foundation: counting, integers, rationals, irrationals, and the continuum. How numbers encode magnitude and quantity.
Algebra
The language of relationships. Variables, equations, and the systematic manipulation of symbols to solve problems.
Functions
The relationship between inputs and outputs. Functions map one set to another and are the foundation for calculus.
Geometry & Trigonometry
Shapes, angles, and relationships in space. Trigonometry measures angles and extends geometry to periodic phenomena.
Vectors
Quantities with both magnitude and direction. Vectors are essential for physics and describe motion, force, and field behavior.
Derivatives & Differential Calculus
The rate of change. Derivatives measure how functions change and are central to understanding motion and optimization.
Integrals & Integral Calculus
Accumulation and area. Integration reverses differentiation and measures accumulated quantities like area, volume, and total distance.
Probability & Statistics
Uncertainty quantified. Probability measures likelihood; statistics uses data to estimate and test. Essential for science and decision-making.
These topics form the foundation for Earth 1's physics and research sections.
Fields of Study
Chemistry
The science of atoms and bonds.
Physics
The same laws hold on every shore.
Biology
Life and systems.
Mathematics
The one language every nation already shares.
Quantum Mechanics
The rules of the very small.
Quantum Computing
Computing with quantum bits.
Global Citizenship
Every person on Earth is a citizen of it.
Philanthropy
What we build, we give to the world.