Real Numbers. Numbers and Their Disguises: Brackets, Fractions, Exponents, Roots, Percent, Scientific Notation. Circles, Parabolas, etc. Completing the Square. Functions. Power Functions. Shifting and Scaling. Limits. Factoring. Rationalizing. Extracting. The Derivative. Rational Operations and Expressions. Derivatives of Trigonometric Functions. Cyclic Phenomena: The Six Basic Trigonometric Functions. The Chain Rule. Composition and Decomposition of Functions. Implicit Differentiation. Equations of Degree 1 and 2 (mostly). Max-Min Problems. Word Problems. Algebraic and Trigonometric. Integrating Trigonometric Functions. Trigonometric Identities. Appendices. Exponential Functions. Inverse Functions: Graphs, Expressions, Equations. Logarithmic Functions. The Binomial Theorem.
