How to use definite integrals to find the area between a curve or under a curve.
How to evaluate definite integrals using the method of substitution.
How to use the fundamental theorem of calculus to compute the net change of a quantity.
How to define an antiderivative.
How to define the derivative of a function at a point x=a.
How to use the fundamental theorem of calculus to evaluate a definite integral.
How to define an indefinite integral.
How to use the definition of the derivative to find a derivative formula for exponential functions.
How to determine whether a function f(x) is continuous at a particular point x=a.
How to evaluate the limit of a function using continuity.
How to determine whether a function f(x) is continuous everywhere on its domain.
How to evaluate the limit of a function at points where it is not continuous.
How to approximate the area under a curve using rectangles.
How to determine one-sided and two-sided limits from the graph of a function.
How to use one-sided limits to show that a limit does not exist.
How to use one-sided limits to find a vertical asymptote.