Precalculus. (2022)

• Record Type: Book
• Further Information: Note: Michael Sullivan.
• Authors: Sullivan, Michael, 1942-
• Contents: <div class="c-non-traditional-number-list_container"> Graphs The Distance and Midpoint Formulas Graphs of Equations in Two Variables; Intercepts; Symmetry Lines Circles Chapter 1 Review, Test, and Projects Functions and Their Graphs Functions The Graph of a Function Properties of Functions Library of Functions; Piecewise-defined Functions Graphing Techniques: Transformations Mathematical Models: Building Functions Chapter 2 Review, Test, and Projects Linear and Quadratic Functions Properties of Linear Functions and Linear Models Building Linear Models from Data Quadratic Functions and Their Properties Build Quadratic Models from Verbal Descriptions and from Data Inequalities Involving Quadratic Functions Chapter 3 Review, Test, and Projects Polynomial and Rational Functions Polynomial Functions Graphing Polynomial Functions; Models Properties of Rational Functions The Graph of a Rational Function Polynomial and Rational Inequalities The Real Zeros of a Polynomial Function Chapter 4 Review, Test, and Projects Exponential and Logarithmic Functions Composite Functions One-to-One Functions; Inverse Functions Exponential Functions Logarithmic Functions Properties of Logarithms Logarithmic and Exponential Equations Financial Models Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models Building Exponential, Logarithmic, and Logistic Models from Data Chapter 5 Review, Test, and Projects Trigonometric Functions Angles, Arc, Length, and Circular Motion Trigonometric Functions: Unit Circle Approach Properties of the Trigonometric Functions Graphs of the Sine and Cosine Functions Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Phase Shift; Sinusoidal Curve Fitting Chapter 6 Review, Test, and Projects Analytic Trigonometry The Inverse Sine, Cosine, and Tangent Functions The Inverse Trigonometric Functions (Continued) Trigonometric Equations Trigonometric Identities Sum and Difference Formulas Double-angle and Half-angle Formulas Product-to-Sum and Sum-to-Product Formulas Chapter 7 Review, Test, and Projects Applications of Trigonometric Functions Right Triangle Trigonometry; Applications The Law of Sines The Law of Cosines Area of a Triangle Simple Harmonic Motion; Damped Motion; Combining Waves Chapter 8 Review, Test, and Projects Polar Coordinates; Vectors Polar Coordinates Polar Equations and Graphs The Complex Plane; De Moivre's Theorem Vectors The Dot Product Vectors in Space The Cross Product Chapter 9 Review, Test, and Projects Analytic Geometry Conics The Parabola The Ellipse The Hyperbola Rotation of Axes; General Form of a Conic Polar Equations of Conics Plane Curves and Parametric Equations Chapter 10 Review, Test, and Projects Systems of Equations and Inequalities Systems of Linear Equations: Substitution and Elimination Systems of Linear Equations: Matrices Systems of Linear Equations: Determinants Matrix Algebra Partial Fraction Decomposition Systems of Nonlinear Equations Systems of Inequalities Linear Programming Chapter 11 Review, Test, and Projects Sequences; Induction; the Binomial Theorem Arithmetic Sequences Geometric Sequences; Geometric Series Mathematical Induction The Binomial Theorem Chapter 12 Review, Test, and Projects Counting and Probability Counting Permutations and Combinations Probability Chapter 13 Review, Test, and Projects A Preview of Calculus: The Limit, Derivative, and Integral of a Function Finding Limits Using Tables and Graphs Algebra Techniques for Finding Limits One-sided Limits; Continuous Functions The Tangent Problem; The Derivative The Area Problem; The Integral Chapter 14 Review, Test, and Projects Appendix A: Review A.1 Algebra Essentials A.2 Geometry Essentials A.3 Polynomials A.4 Synthetic Division A.5 Rational Expressions A.6 Solving Equations A.7 Complex Numbers; Quadratic Equations in the Complex Number System A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications A.9 Interval Notation; Solving Inequalities A.9 Interval Notation; Solving Inequalities A.10 nth Roots; Rational Exponents Appendix B: Graphing Utilities B.1 The Viewing Rectangle B.2 Using a Graphing Utility to Graph Equations B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry B.4 Using a Graphing Utility to Solve Equations B.5 Square Screens B.6 Using a Graphing Utility to Graph Inequalities B.7 Using a Graphing Utility to Solve Systems of Linear Equations B.8 Using a Graphing Utility to Graph a Polar Equation B.9 Using a Graphing Utility to Graph Parametric Equations Answers Credits Index.
• Edition: Eleventh edition Global edition
• Publisher Details: Upper Saddle River : Pearson
• Publication Date: 2022
• Extent: 1 online resource
• Subjects: 510; Precalculus
• Languages: English
• ISBNs: 9781292444475
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.