Changes to this edition have significantly improved the text's accessibility. Graphing Calculator usage is expected and used to promote mathematical modeling, problem solving and motivating concepts. The supplements package has been expanded since the first edition and includes MathPak.
(NOTE: Each chapter concludes with Chapter Review.)
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 Quadratic 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 Three 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. Sequences; Induction; the Binomial Theorem.
Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. 8. Counting and Probability.
Sets and Counting. Permutations and Combinations. Probability of Equally Likely Outcomes. Analyzing Univariate Data; Probabilities from Data. 9. The Conics.
Conics. The Parabola. The Ellipse. The Hyperbola. Systems of Nonlinear Equations. Appendix Review.
Real Numbers. Algebra Review. Geometry Review. Integer Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Square Roots; Radicals. Rational Exponents. Answers. Index.