Calculus 1 (MATH 1100)

• Prelude to Calculus: tangent lines and slope predictors; limit concept; more limits; concept of continuity The Derivative: the derivative and rates of change; basic differentiation rules; chain rule; derivatives of algebraic functions; maxima and minima of functions; applied optimization problems; derivatives of trigonometric functions and their inverses; exponential and logarithmic functions; implicit differentiation and related rates; successive approximations and Newton’s method.
• Applications of the Derivative: differentials and linear approximations; increasing and decreasing functions; mean value theorem; first derivative test and applications; curve sketching; higher derivatives and concavity; simple curve sketching and asymptotes; indeterminate forms and L'Hopital's rule; more indeterminate forms
• Antiderivatives: antiderivatives and initial value problems
• Differential Equations: simple equations and models

This course is offered as part of a VCC program only.