Limits and limit theorem

Infinite limits and limits at infinity

Continuity of a function and the Intermediate Value Theorem

The Squeeze Theorem and limits and continuity of trigonometric functions

Exponential and logarithmic functions I hyperbolic and inverse hyperbolic functions

Derivative of a function

Differentiation of algebraic and transcendental functions

The chain rule I implicit differentiation I and higher order derivatives

Indeterminate forms and L Hopitals rule

Concavity and the Second Derivative Test

Sketching graphs of function using derivatives

The Mean Value Theorem

Rectilinear motion

Related Rates

Local linear approximation and differential

Absolute Extrema I Extreme Value Theorem and optimizations

Antiderivatives and formulas of antidifferentiation

Integration by Substitution

The definite integral

Fundamental Theorem of Calculus

Area of a Plane Region

Volumes by slicing I disks or washers and cylindrical shells

Math 21 LE