Real Numbers, Circles, Parabolas, Functions and Their Graphs, Trigonometric Functions and Their Inverses, Precise Definition of a Limit, One-Sided Limits, Infinite Limits and Vertical Asymptotes, Continuity, The Derivative, Differentiation Rules Derivatives of Trigonometric Functions, The Chain Rule and Parametric Equations, Implicit Differentiation, Extreme Values of Functions, The Mean Value Theorem, Monotonic Functions and the First Derivative Test, Concavity and Curve Sketching, Optimization Problems, Indeterminate Forms and L'Hopital's Rule, The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals and the Substitution Rule, Area Between Curves.