Understanding the science of physics.
How to define an antiderivative.
How to define an inverse.
How to differentiate a composite function when the outside function is exponential.
How to evaluate the limit of a function using continuity.
How to evaluate the limit of a function at points where it is not continuous.
How to use algebra to show that two functions are inverses.
How to antidifferentiate functions with radicals.
How to use inverse trig functions to find angles in right triangles.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How to infer the derivative of the natural log function using a calculator investigation.
How the number e is defined.
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How we identify the behavior of a polynomial graph near an x-intercept.
How to compute and simplify the difference quotient of a linear function.