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Full Description
Dwyer and Gruenwald's PRECALCULUS builds on the same features as their very successful COLLEGE ALGEBRA, Second Edition and COLLEGE ALGEBRA AND TRIGONOMETRY, Second Edition , while adding material to help students look ahead to calculus. The book is organized around a traditional table of contents, and offers a contemporary flavor through the use of the rule of four, modeling, and a strong conceptual orientation. The authors motivate students by using outstanding contemporary applications that address important topical issues, as well as entertaining and illustrative ones. The applications are woven around a carefully paced presentation of algebra and trigonometry topics. A rich variety of exercises further engage and challenge students. In PRECALCULUS, the authors assume that students have access to a variety of graphing calculator models, so generic instruction is provided. Guidelines and keystrokes for specific calculators can be found in the free, text-specific online graphing calculator manual.
Contents
1. FOUNDATIONS AND FUNDAMENTALS. The Real Number System. Exponents and Radicals. Algebraic Expressions. Graphs of Equations. Techniques for Solving Equations. Inequalities. Lines. 2. FUNCTIONS AND THEIR GRAPHS. Functions. Graphs of Functions. Combinations of Functions. Inverses of Functions. Selected Functions. Modeling with Functions and Variation. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Polynomial Functions. Division of Polynomials. Zeros and Factors of Polynomials. Real Zeros of Polynomials. Rational Functions. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Logarithmic Identities and Equations. Exponential Equations and Applications. Modeling with Exponential and Logarithmic Functions. 5. TRIGONOMETRIC FUNCTIONS. Angles and Their Measurements. Trigonometric Functions of Acute Angles. Trigonometric Functions of Real Numbers. Graphs of Sine and Cosine. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. 6. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Fundamental Trigonometric Identities. Sum and Difference Identities. Double-Angle and Half-Angle Identities. 7. APPLICATIONS OF TRIGONOMETRY. The Law of Sines. The Law of Cosines. Trigonometric Form of Complex Numbers. Powers and Roots of Complex Numbers. Polar Coordinates. Vectors. 8. RELATIONS AND CONIC SECTIONS. Relations and Their Graphs. Parabolas. Ellipses. Hyperbolas and Classification of Conic Sections. Rotation of Axes and General Conic Sections. Parametric Equations. 9. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Equations. Matrices. Linear Systems and Matrices. Gaussian and Gauss-Jordan Elimination. Inverses of Square Matrices. Determinants and Cramer?s Rule. Systems of Inequalities. Linear Programming. 10. INTEGER FUNCTIONS AND PROBABILITY. Sequences. Series. Permutations and Combinations. Probability. The Binomial Theorem. Mathematical Induction.
