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Link senior secondary mathematics and university calculus into one continuous learning pathway.
Yodo Calculus is the calculus knowledge reader under Uedu interdisciplinary general education, deliberately spanning senior secondary mathematics and university Calculus I/II. It is designed especially for students taking summer-term / repeat Calculus. The same concept is first built up intuitively with numerical tables and graphs, then extended to formal definitions and computation, so the transition is no longer fragmented.
The classification aligns with the seventeen chapters of the Calculus notes, and is divided into four thematic groups: single-variable differentiation (preliminary knowledge, limits, derivatives, applications of derivatives), single-variable integration (integration, applications of integration (1), integration techniques, applications of integration (2)), differential equations, parametric equations and series (differential equations (first order), parametric equations and polar coordinates, series), and multivariable and vector calculus (vectors, vector-valued functions, partial derivatives, multiple integrals, vector calculus, differential equations (second order)). The reading materials will be expanded continuously by chapter.
The hardest part of calculus is often that it feels "too abstract" — derivatives, integrals and differential equations are all symbols on paper. This reader links each concept back to the interactive simulations in Uedu Science Lab: differentiating position with respect to time gives the velocity of a projectile, integrating current with respect to time gives the charge accumulated by a capacitor, and a first-order differential equation is radioactive decay. Once you have understood the concept, go straight into the simulation to adjust the parameters yourself and turn intuition into experience.
An interactive calculation tool embedded in the article: enter a function, and the sympy symbolic computation engine will accurately differentiate, integrate, take limits and plot it. The calculation results come from symbolic computation, not AI-generated text—you can directly compare your hand-calculated answer with the exact answer to verify it.
The mathematical content of this reader (definitions, theorems, derivations, formulae) uses a manual vetting system: each article carries a vetting flag, and drafts that have not been manually vetted are not published; every formula in the text is cross-validated with sympy before vetting. AI may assist with structure and polishing, but the correctness of the mathematics is decided by humans.