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**Alg 2/Trig Table of Contents**

P. Prerequisites: Fundamental Concepts of AlgebraP.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Exponents and Scientific Notation P.3 Radicals and Rational Exponents P.4 Polynomials P.5 Factoring Polynomials P.6 Rational Expressions 1. Equations and Inequalities1.1 Graphs and Graphing Utilities 1.2 Linear Equations and Rational Equations 1.3 Models and Applications 1.4 Complex Numbers 1.5 Quadratic Equations 1.6 Other Types of Equations 1.7 Linear Inequalities and Absolute Value Inequalities 2. Functions and Graphs2.1 Basics of Functions and Their Graphs 2.2 More on Functions and Their Graphs 2.3 Linear Functions and Slope 2.4 More on Slope 2.5 Transformations of Functions 2.6 Combinations of Functions; Composite Functions 2.7 Inverse Functions 2.8 Distance and Midpoint Formulas; Circles 3. Polynomial and Rational Functions3.1 Quadratic Functions 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials; Remainder and Factor Theorems 3.4 Zeros of Polynomial Functions 3.5 Rational Functions and Their Graphs 3.6 Polynomial and Rational Inequalities 3.7 Modeling Using Variation 4. Exponential and Logarithmic Functions- Understanding & graphing logs and exponents
- Simplifying, expanding & condensing logs
- Solving log and exponential equations
5. Trigonometric Functions5.1 Angles and Radian Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle 5.4 Trigonometric Functions of Real Numbers; Periodic Functions 5.5 Graphs of Sine and Cosine Functions 5.6 Graphs of Other Trigonometric Functions 5.7 Inverse Trigonometric Functions 5.8 Applications of Trigonometric Functions |
6. Analytic Trigonometry6.1 Verifying Trigonometric Identities 6.2 Sum and Difference Formulas 6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas 6.4 Product-to-Sum and Sum-to-Product Formulas 6.5 Trigonometric Equations 7. Additional Topics in Trigonometry7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Polar Coordinates 7.4 Graphs of Polar Equations 7.5 Complex Numbers in Polar Form; DeMoivre's Theorem 7.6 Vectors 7.7 The Dot Product 8. Systems of Equations and Inequalities8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Partial Fractions 8.4 Systems of Nonlinear Equations in Two Variables 8.5 Systems of Inequalities 8.6 Linear Programming 9. Matrices and Determinants9.1 Matrix Solutions to Linear Systems 9.2 Inconsistent and Dependent Systems and Their Applications 9.3 Matrix Operations and Their Applications 9.4 Multiplicative Inverses of Matrices and Matrix Equations 9.5 Determinants and Cramer's Rule 10. Conic Sections and Analytic Geometry10.1 The Ellipse 10.2 The Hyperbola 10.3 The Parabola 10.4 Rotation of Axes 10.5 Parametric Equations 10.6 Conic Sections in Polar Coordinates 11. Sequences, Induction, and Probability11.1 Sequences and Summation Notation 11.2 Arithmetic Sequences 11.3 Geometric Sequences and Series 11.4 Mathematical Induction 11.5 The Binomial Theorem 11.6 Counting Principles, Permutations, and Combinations 11.7 Probability |