Reasoning & proof
Definitions, logical structure, and the role of examples and counterexamples in building a mathematical argument.
Academy · Field 01
A precise language for structure, change, and the arguments that connect them.
In development
A proposed direction
These are proposed areas of study. The course structure, prerequisites, and lesson sequence are still being developed.
Definitions, logical structure, and the role of examples and counterexamples in building a mathematical argument.
Functions, limits, derivatives, and integrals, with attention to the ideas that make the notation meaningful.
Vectors, transformations, systems of equations, and the geometry behind linear algebra.
Recognizing shared structure across problems and learning when a more general point of view becomes useful.
The intended experience
Recorded explanations, written notes, and problems are planned for a dedicated course workspace.
Interactive teaching is planned around a digital writing board, with questions and discussion during class.
A separate student forum is planned for each course, with space for questions, shared reasoning, and instructor replies.
These academy features are planned and are not available on the current public site.
Explore now
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