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BRANCH OVERVIEW
Calculus & analysis
Limits, local change, accumulation, and approximation.
← All branches · Each sheet includes definitions, theorems, applications, and exercises with hints and worked solutions.
Calculus & analysis
Limits, local change, accumulation, and approximation.
- Limits & continuityMake approximation statements precise by controlling errors.
- Derivatives & Taylor expansionThe derivative is a local linear model; Taylor expansion adds controlled higher-order terms.
- Integration & accumulationIntegrals combine local contributions; the fundamental theorem links accumulation and change.
- Gradients, Hessians & change of variablesLocal geometry is encoded by first and second derivatives.