Real numbers and the real line, intervals, absolute value, Equations and inequalities involving absolute value

Graphs of Quadratic Equations, circles, parabolas, shifting a graph, ellipses and hyperbolas

Functions, domain and range, graphs, even and odd functions,combining functions, composite functions, piecewise defined functions

Trigonometric functions, identities, graphs of trigonometric functions, Limits of functions

Limits at infinity and infinite limits, Continuity

Tangent lines and their slopes, the derivative, Differentiation Rules, The Chain Rule

Derivatives of Trigonometric Functions, Higher-Order Derivatives

The Mean Value Theorem, Implicit Differentiation, Antiderivatives

Inverse Functions, The Natural Logarithm and Exponential, The Inverse Trigonometric Functions

Hyperbolic Functions, Related Rates, Finding Roots of Equations, Indeterminate Forms

Extreme Values

Concavity and Inflections, Sketching the Graph of Functions

Max-Min. Problems

Linear Approximations