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Topic
Calculus
Limits, derivatives, integrals — the mathematics of change.
6 units·2 classes covered
Why this matters
Speed at a single instant. Area under a curve. The exact moment a rocket escapes gravity. All of these were impossible to answer — until Newton and Leibniz gave us calculus.
Calculus is the language of modern science and half of the JEE Main + Advanced paper. Every engineering degree, every physics degree, every economics degree begins with it. Master it in Class 11-12 and the world's technical universities open up.
The story arc
- Class 11Limits — the idea that got calculus started, and derivatives from first principles.
- Class 12Continuity, applications of derivatives, integrals, and differential equations — the full toolkit.
Practice bank in progress for this topic — the units below are still browsable, and topic practice unlocks once questions are seeded.
Class 11
1 unit
Class 12
5 units
Unit 5
Continuity and Differentiability
Continuity at a point and on an interval, differentiability, chain rule, and derivatives of implicit/parametric/logarithmic functions.
Soon
Unit 6
Applications of Derivatives
Rate of change, tangents and normals, increasing/decreasing functions, maxima and minima.
Soon
Unit 7
Integrals
Indefinite and definite integrals, standard forms, substitution, by parts, partial fractions.
Soon
Unit 8
Applications of Integrals
Area under simple curves, area between two curves.
Soon
Unit 9
Differential Equations
Order and degree, general/particular solutions, variables separable, homogeneous, and linear DEs.
Soon