Algebra and trigonometry
By: Cynthia Y. Young
Edition: 2nd ed.
Publisher: John Wiley & Sons
Published: 2010
Place of publication: Hoboken, NJ
Language: eng
Number of pages: 1309
ISBN-13: 9780470222737
Subjects: Algebra; Textbooks; Fonctions (Mathématiques); Algèbre linéaire; Algèbre; Trigonométrie; Manuels d'enseignement supérieur; Trigonometry
Notes: Includes index.
Table of contents: title: Chapter 0: Prerequisites and review; title: 0.1 Real numbers; title: 0.2 Integer exponents and scientific notation; title: 0.3 Polynomials: Basic operations; title: 0.4 Factoring polynomials; title: 0.5 Rational expressions; title: 0.6 Rational exponents and radicals; title: 0.7 Complex Numbers; title: Review; title: Review exercises; title: Practice test; title: Chapter 1: Equations and inequalitites; title: 1.1 Linear equations; title: 1.2 Applications involving linear equations; title: 1.3 Quadratic equations; title: 1.4 Other types of equations; title: 1.5 Linear inequalities; title: 1.6 Polynomial and rational inequalities; title: 1.7 Absolute value equations and inequalities; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 2: Graphs; title: 2.1 Basic tools: Cartesian plane, distance, and midpoint; title: 2.2 Graphing equations: Point-plotting, intercepts, and symmetry; title: 2.3 Lines; title: 2.4 Circles; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 3: Functions and their graphs; title: 3.1 Functions; title: 3.2 Graphs of functions; Piecewise-defined functions; Increasing and decreasing functions; Average rate of change; title: 3.3 Graphing techniques: Transformations; title: 3.4 Operations on functions and composition of functions; title: 3.5 One-to-one functions and inverse functions; title: 3.6 Modeling functions using variation; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 4: Polynomial and rational functions; title: 4.1 Quadratic functions; title: 4.2 Polynomial functions of higher degree; title: 4.3 Dividing polynomials: Long division and synthetic division; title: 4.4 The real zeros of a polynomial functions; title: 4.5 Complex zeros: The fundamental theorem of algebra; title: 4.6 Rational functions; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 5: Exponential and logarithmic functions; title: 5.1 Exponential functions and their graphs; title: 5.2 Logarithmic functions and their graphs; title: 5.3 Properties of logarithms; title: 5.4 Exponential and logarithmic equations; title: 5.5 Exponential and logarithmic models; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 6: Trigonometric functions; title: 6.1 Angles, degrees, and triangles; title: 6.2 Definition 1 of trigonometric functions: Right triangle ratios; title: 6.3 Applications of right triangle trigonometry: Solving right triangles; title: 6.4 Definition 2 of trigonometric functions: Cartesian plane; title: 6.5 Trigonometric functions of nonacute angles; title: 6.6 Radian measure and applications; title: 6.7 Definition 3 of trigonometric functions: Unit circle approach; title: 6.8 Graphs of sine and cosine functions; title: 6.9 Graphs of other trigonometric functions; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 7: Analytic trigonometry; title: 7.1 Basic trigonometric identities; title: 7.2 Verifying trigonometric identities; title: 7.3 Sum and difference identities; title: 7.4 Double-angle identities; title: 7.5 Half-angle identities; title: 7.6 Product-to-sum and sum-to-product identities; title: 7.7 Inverse trigonometric functions; title: 7.8 Trigonometric equations; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 8: Additional topics in trigonometry; title: 8.1 Oblique triangles and the law of sines; title: 8.2 The law of cosines; title: 8.3 The area of a triangle; title: 8.4 Vectors; title: 8.5 The dot product; title: 8.6 Polar (Trigonometric) form of complex numbers; title: 8.7 Products, quotients, powers, and roots of complex numbers; title: 8.8 Polar equations and graphs; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 9: Systems of linear equations and inequalities; title: 9.1 Systems of linear equations in two variables; title: 9.2 Systems of linear equations in three variables; title: 9.3 Partial fractions; title: 9.4 Systems of linear inequalities in two variables; title: 9.5 The linear programming model; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 10: Matrices; title: 10.1 Matrices and systems of linear equations; title: 10.2 Matrix algebra; title: 10.3 Matrix equations; the inverse of a square matrix 10.4 The determinant of a square matrix and Cramer's rule; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 11: Analytic geometry and systems of nonlinear equations and inequalities; title: 1.1 Conic basics; title: 11.2 The parabola; title: 11.3 The ellipse; title: 11.4 The hyperbola; title: 11.5 Systems of nonlinear equations; title: 11.6 Systems of nonlinear inequalitites; title: 11.7 Rotation of axes; title: 11.8 Polar equations of conics; title: 11.9 Parametric equations and graphs; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Chapter 12: Sequences, series, and probability; title: 12.1 Sequences and series; title: 12.2 Arithmetic sequences and series; title: 12.3 Geometric sequences and series; title: 12.4 Mathematical induction; title: 12.5 The binomial theorem; title: 12.6 Counting, permutations, and combinations; title: 12.7 Probability; title: Modeling your world; title: Review; title: Review exercises; title: Practice test; title: Cumulative test; title: Answers to odd numbered exercises; title: Applications index; title: Subject index.