THEORY COMMONS
Where Ideas Connect.
Explore mathematics and science through rigorous lessons, engaging ideas, and the connections between them.
Knowledge grows through connection.
Featured articles
Begin with an idea
01
Calculus I Course-Synthesis Narrative: Managing a Community Solar Array
A capstone story that asks learners to connect functions, limits, derivatives, and accumulation before opening a fully reasoned solution.
Mathematics · Calculus I Supplements
Supplement: Calculus Notation and How to Read It
Foundational · 4 min readMathematics · Calculus I Supplements
Supplement: Common Antiderivatives
Foundational · 4 min readMathematics · Calculus I Supplements
Supplement: Derivative Rules and Method Choice
Foundational · 4 min readInteractive Labs
Epsilon–Delta Challenge
Can you choose an input tolerance that keeps every nearby function value inside a demanded output tolerance?
Knowledge domains
Explore fields
Mathematics
Mathematics
From algebra through calculus, differential equations, probability, and beyond.
Physics
Physics
Motion, energy, fields, waves, matter, and the laws connecting them.
Chemistry
Chemistry
Atoms, bonding, reactions, structure, and transformations of matter.
Health Physics
Health Physics
Radiation science, measurement, dosimetry, and radiation protection.
The Commons · Coming soon
A place to ask better questions.
The Commons will be a community for discussing the ideas behind mathematics and science—not just finding the answer.
Learn about the Commons →Example questions
- 01
Why does a derivative require a limit?
- 02
Is energy actually “stored” in a spring?
- 03
Why do atoms form bonds in the first place?