Calculus Books

Calculus One presents limits, derivatives, and integrals. Calculus One involves computing derivatives and differentials of various functions without the aid of a calculator, and interpreting certain limits as derivatives. For example the power rule, product rule, quotient rule, chain rule, implicit differentiation and logarithmic differentiation. Solving word problems will be emphasized in Calculus One by involving the rate of change of a quantity or of related quantities and by solving optimization problems in the context of real-life situations by using differentiation and critical points of functions including population dynamics, finance, physics, biology, chemistry and sociology. Calculus One involves computing certain antiderivatives using various antidifferentiation techniques such as integration by substitution and applying the Fundamental Theorems of Calculus to compute derivatives, antiderivatives, definite integrals and area.