عنوان

Precalculus

013421742X

0134217632

0134314522

9780134217420

9780134217635

9780134314525

b393332

Precalculus

[Book]

Margaret L. Lial, American River College [and three others].

6th edition

Boston

Pearson,

[2017] ©2017

1 volume (various pagings) : illustrations (some color) ; 29 cm

R. Review of basic concepts. Sets Real numbers and their properties Polynomials Factoring polynomials Rational expressions Rational exponents Radical expressions -- 1. Equations and inequalities. Linear equations Applications and modeling with linear equations Complex numbers Quadratic equations Applications and modeling with quadratic equations Other types of equations and applications Inequalities Absolute value equations and inequalities -- 2. Graphs and functions. Rectangular coordinates and graphs Circles Functions Linear functions Equations of lines and linear models Graphs of basic functions Graphing techniques Function operations and composition -- 3. Polynomial and rational functions. Quadratic functions and models Synthetic division Zeros of polynomial functions Polynomial functions: graphs, applications, and models Rational functions: graphs, applications, and models Variation -- 4. Inverse, exponential, and logarithmic functions. Inverse functions Exponential functions Logarithmic functions Evaluating logarithms and the change-of-base theorem Exponential and logarithmic equations Applications and models of exponential growth and decay -- 5. Trigonometric functions. Angles Trigonometric functions Trigonometric function values and angle measures Solutions and applications of right triangles -- 6. The circular functions and their graphs. Radian measure The unit circle and circular functions Graphs of the sine and cosine functions Translations of the graphs of the sine and cosine functions Graphs of the tangent and cotangent functions Graphs of the secant and cosecant functions Harmonic motion 7. Trigonometric identities and equations. Fundamental identities Verifying trigonometric identities Double-angle and half-angle identities Inverse circular functions Trigonometric equations Equations involving inverse trigonometric functions -- 8. Applications of trigonometry. The law of sines The law of cosines Geometrically defined vectors and applications Algebraically defined vectors and the dot product Trigonometric (polar) form of complex numbers: products and quotients De Moivre's Theorem power and roots of complex numbers Polar equations and graphs Parametric equations, graphs, and applications -- 9. Systems and matrices. Systems of linear equations Matrix solution of linear systems Determinant solution of linear systems Partial fractions Nonlinear systems of equations Systems of inequalities and linear programming Properties of matrices Matrix inverses -- 10. Analytic geometry. Parabolas Ellipses Hyperbolas Summary of the conic sections -- 11. Further topics in algebra. Sequences and series Arithmetic sequences and series Geometric sequences and series The binomial theorem Mathematical induction Basics of counting theory Basics of probability -- Appendices. Appendix A. Polar form of conic sections -- Appendix B. Rotation of axes -- Appendix C. Geometry formulas.

Precalculus.Precalculus.Precalculus.Algebra.Precalculus.Precalculus.Precalculus.Algebra.Precalculus.Precalculus.Precalculus.Algebra.Trigonometry.

Margaret L Lial

[Book]

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