Precalculus essentials / 2nd ed.

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作者：Robert Blitzer.

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ISBN：9780132220941

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简介

This text takes the same approach as the regular Blitzer Precalculus version by deleting chapters. The text explores math the way it evolved: by describing real problems and how math explains them. It is interesting, lively (with applications you won't see in any other math book), and exceedingly clear. Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the student by opening their minds to learning (2) keeping the student engaged on every page (3) explaining ideas directly, simply, and clearly. Students are strongly supported by a consistent pedagogical framework. A “See it, Hear it, Try it?” format consistently walks students through each and every example in just the same way that an instructor would teach this example in class. Blitzer liberally inserts voice balloons and annotations throughout the text helping clarify the more difficult concepts for students.

Chapter Prerequisites: Fundamental Concepts of Algebra p. 1
Algebraic Expressions and Real Numbers p. 2
Exponents and Scientific Notation p. 3
Radicals and Rational Exponents p. 4
Polynomials p. 5
Factoring Polynomials Mid-chapter Check Point p. 6
Rational Expressions p. 7
Equations p. 8
Modeling with Equations p. 9
Linear Inequalities and Absolute Value Inequalities
Functions and Graphs
Graphs and Graphing Utilities
Basics of Functions and their Graphs
More on Functions and their Graphs
Linear Functions and Slope
More on Slope Mid-chapter Check Point
Transformations of Functions
Combinations of Functions; Composite Functions
Inverse Functions
Distance and Midpoint Formulas; Circles
Modeling with Functions
Polynomial and Rational Functions
Complex Numbers
Quadratic Functions
Polynomial Functions and their Graphs
Dividing Polynomials; Remainder and Factor Theorems
Zeros of Polynomial Functions Mid-chapter Check Point
Rational Functions and their Graphs
Polynomial and Rational Inequalities
Modeling Using Variation
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms Mid-chapter Check Point
Exponential and Logarithmic Equations
Exponential Growth and Decay; Modeling Data
Trigonometric Functions
Angles and Radian Measure
Trigonometric Functions: The Unit Circle
Right Triangle Trigonometry
Trigonometric Functions of Any Angle Mid-chapter Check Point
Graphs of Sine and Cosine Functions
Graphs of other Trigonometric Functions
Inverse Trigonometric Functions
Applications of Trigonometric Functions
Analytic Trigonometry
Verifying Trigonometric Identities
Sum and Difference Formulas
Double-Angle, Power-Reducing, and Half-Angle Formulas Mid-chapter Check Point
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
Additional Topics in Trigonometry
The Law of Sines
The Law of Cosines
Polar Coordinates
Graphs of Polar Equations Mid-chapter Check Point
Complex Numbers in Polar Form; DeMoivres Theorem
Vectors
The Dot Product Appendix: Where Did That Come From? Selected Proofs

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Precalculus essentials / 2nd ed.

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