Algebra & Trigonometry Enhanced with Graphing Utilities

(NOTE: Each chapter concludes with Chapter Review.) 1. Graphs. Rectangular Coordinates; Graphing Utilities; Scatter Diagrams. Graphs of Equations. Solving Equations. Setting up Equations; Applications. Solving Inequalities. Lines. Circles. 2. Linear and Quadratic Functions. Functions. Linear Functions and Models. Quadratic Equations and Functions. Quadratic Functions and Models. 3. Functions and Their Graphs. Characteristics of Functions; Library of Functions. Graphing Techniques: Transformations. Operations on Functions; Composite Functions. Mathematical Models: Constructing Functions. 4. Polynomial and Rational Functions. Power Functions and Models. Polynomial Functions and Models. Polynomial Division. The Real Zeros of a Polynomial Function. Complex Numbers; Quadratic Equations with a Negative Discriminant. Complex Zeros; Fundamental Theorem of Algebra. Rational Functions. Polynomial and Rational Inequalities. 5. Exponential and Logarithmic Functions. One-to-One Functions; Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay. Exponential, Logarithmic, And Logistic Curve Fitting. 6. Systems of Equations and Inequalities. Systems of Linear Equations: Two Equations Containing Two Variables. Systems of Linear Equations: Three Equations Containing Three Variables. Systems of Linear Equations: Matrices. Systems of Linear Equations: Determinants. Matrix Algebra. Systems of Linear Inequalities; Linear Programming. Partial Fraction Decomposition. 7. Trigonometric Functions. Angles and Their Measure. Right Triangle Trigonometry. Computing The Values of Trigonometric Functions of Given Angles. Trigonometric Functions of General Angles. Properties of the Trigonometric Functions; Unit Circle Approach. Graphs of the Trigonometric Functions. Sinusoidal Graphs; Sinusoidal Curve Fitting. 8. Analytic Trigonometry. Trigonometric Identities. Sum and Difference Formulas. Double-Angle and Half-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions. Trigonometric Equations (I). Trigonometric Equations (II). 9. Applications of Trigonometric Functions. Solving Right Triangles. The Law of Sines. The Law of Cosines. The Area of a Triangle. Simple Harmonic Motion; Damped Motion. 10. Polar Coordinates; Vectors. Polar Coordinates. Polar Equations and Graphs. The Complex Plane; DeMoivres Theorem. Vectors. The Dot Product. 11. Analytic Geometry. Conics. The Parabola. The Ellipse. The Hyperbola. Rotation of Axes; General Form of a Conic. Polar Equations of Conics. Plane Curves and Parametric Equations. Systems of Nonlinear Equations. 12. Sequences; Induction; the Binomial Theorem. Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. 13. Counting and Probability. Sets and Counting.