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On Functions, The Limit of the Ratio and the limit of the sum, Differentiation and Integration of Algebraic Functions, Applications of Algrbraic Differentiation and Integration, Successive Algebraic Differentiation and Integration, Partial Differentiation and Integration of Algebraic Functions, Circular and Inverse Circular Functions, Logarithmic and Exponential Functions, Center of Mass and Moment of Inertia, Expansions, Applications of Taylor's Series, Ordinary Differential Equations of First order, Ordinary Differential Equations of Higher order, Partial Differential Equations,