Algebra and trigonometry / Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger.

Includes index.

Basic Concepts of Algebra -- The Real-Number System -- Integer Exponents, Scientific Notation, and Order of Operations -- Addition, Subtraction, and Multiplication of Polynomials -- Factoring -- Rational Expressions -- Radical Notation and Rational Exponents -- Radical Notation and Rational Exponents -- The Basics of Equation Solving -- Graphs, Functions, and Models -- Introduction to Graphing -- Functions and Graphs -- Linear Functions, Slope, and Applications -- Equations of Lines and Modeling -- More on Functions -- The Algebra of Functions -- Symmetry and Transformations -- Functions, Equations, and Inequalities -- Linear Equations, Functions, and Models -- The Complex Numbers -- Quadratic Equations, Functions, and Models -- Analyzing Graphs of Quadratic Functions -- More Equation Solving -- More Equation Solving -- Solving Linear Inequalities -- Polynomial And Rational Functions - Inverses of Matrices -- Determinants and Cramer's Rule -- Systems of Inequalities and Linear Programming -- Partial Fractions -- Analytic Geometry Topics -- The Parabola -- The Circle and the Eclipse -- The Hyperbola -- Nonlinear Systems of Equations and Inequalities -- Rotation of Axes-- Polar Equations of Conics -- Parametric Equations -- Sequences, Series, and Combinatorics -- Sequences and Series -- Arithmetic Sequences and Series -- Geometric Sequences and Series -- Mathematical Induction -- Combinatorics: Permutations -- The Binomial Theorem -- Probability.

Polynomial Functions and Models -- Graphing Polynomial Functions -- Polynomial Division; The Remainder and Factor Theorems -- Theorems about Zeros of Polynomial Functions -- Rational Functions -- Polynomial and Rational Inequalities -- Variation and Applications -- Exponential and Logarithmic Functions -- Exponential and Logarithmic Functions -- Inverse Functions -- Exponential Functions and Graphs -- Properties of Logarithmic Functions -- Solving Exponential and Logarithmic Equations -- Applications and Models: Growth and Decay, and Compound Interest -- he Trigonometric Functions -- Trigonometric Functions of Acute Angles -- Applications of Right Triangles -- Trigonometric Functions of Any Angle -- Radians, Arc Length, and Angular Speed -- Circular Functions: Graphs and Properties -- Graphs of Transformed Sine and Cosine Functions -- Trigonometric Identities, Inverse Functions, and Equations -- Identities: Cofunction, Double-Angle, and Half-Angle -- Proving Trigonometric Identities -- Inverses of the Trigonometric Functions -- Solving Trigonometric Equations -- Applications of Trigonometry -- The Law of Sines -- The Law of Cosines -- Complex Numbers: Trigonometric Form -- Vectors and Applications -- Vector Operations -- Systems of Equations and Matrices -- Systems of Equations in Two Variables -- Systems of Equations in Three Variables -- Matrices and Systems of Equations --

These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

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