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    Tables – Mathematics – Calculus Algorithms

    1. LimitsMeasures the value a function approaches as its input gets indefinitely close to a given point.
    2. DerivativesDescribes the rate at which a function changes at each particular point.
    3. IntegralsMeasures the area under the curve of a function over a given interval.
    4. Differential EquationsInvolves equations with unknown variables and their derivatives. Used to model various systems.
    5. Power RuleUsed to compute the derivatives of power functions.
    6. Chain RuleA technique for finding the derivative of composite functions.
    7. Product RuleUsed for finding derivative of a product of two functions.
    8. Quotient RuleUsed for finding derivative of a quotient of two functions.
    9. Implicit DifferentiationA procedure to find the derivative of a relation defined implicitly.
    10. L’Hopital’s RuleExplains a method to evaluate limits of indeterminate forms.
    11. Fundamental Theorem Of CalculusRelates the process of differentiation and integration.
    12. Rate Of ChangeThe speed at which a variable changes over a specific period of time.
    13. Mean Value TheoremGuarantees at least one stationary point for continuous functions over a closed interval.
    14. Taylor SeriesA representation of a function as an infinite sum of terms calculated from the function’s derivatives at a certain point.
    15. Substitution MethodUsed to simplify difficult problems in integration by changing variables.
    16. Trig SubstitutionSubstituting trigonometric functions for other expressions to calculate complex integrals.
    17. Integration By PartsUsed to integrate products of two functions.
    18. Partial DerivativesDerivatives of functions with several variables with respect to one of those variables.
    19. Multiple IntegrationThe integration of more than one variable.
    20. Vector CalculusBranch of Calculus dealing with vector fields.