Calculus
Limits
A limit describes the value a function approaches as the input approaches some value.
Key Formulas
Definition
f(x) gets close to L as x gets close to a.
Key Concepts
Direct substitutionIndeterminate formsL'Hôpital's ruleOne-sided limits
Worked Examples
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Solution:
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Derivatives
A derivative measures the instantaneous rate of change of a function.
Integrals
Integration is the reverse of differentiation. It computes accumulated quantities and areas.
Differential Equations
A differential equation relates a function to its derivatives.
Series
A series is the sum of a sequence of terms. Taylor and Maclaurin series approximate functions.