Explore the foundations of mathematics and physics.
This section introduces the intersection of mathematics and physics: how quantitative reasoning and physical laws work together. By the end of this section you will have learned math & physics conceptually through practice and perspective.
Pick a concept to start. Each one can have intuition, math, practice, and applications.
Rates of change applied to dynamics and kinematics.
Start here →Direction, magnitude, and space-varying quantities.
Start here →Invariance that predicts conservation laws.
Start here →Statistics, error, and measurement limits.
Start here →Models for change in time and space.
Start here →Systems, transformations, and eigen-thinking.
Start here →Explore a real-world theme that ties multiple concepts together.
Fourier, oscillations, and wave behavior in real systems.
Explore →Kinematics, forces, and energy in the physical world.
Explore →Charges, fields, and how they shape the world.
Explore →Measurement error, probability, and inference.
Explore →Fourier, oscillations, and wave behavior in real systems.
Explore →Kinematics, forces, and energy in the physical world.
Explore →Charges, fields, and how they shape the world.
Explore →Measurement error, probability, and inference.
Explore →