Please note: this is preliminary (unedited) edition. You can download the third corrected edition from the following link:
Conditions of Use
This book is licensed under a Creative Commons License (CC BY-NC-SA). You can download the ebook Precalculus, Preliminary 4th Edition for free.
- Title
- Precalculus, Preliminary 4th Edition
- Publisher
- OpenIntro
- Author(s)
- Carl Stitz, Jeff Zeager
- Published
- 2024-01-15
- Edition
- 4
- Format
- eBook (pdf, epub, mobi)
- Pages
- 1447
- Language
- English
- License
- CC BY-NC-SA
- Book Homepage
- Free eBook, Errata, Code, Solutions, etc.
Table of Contents The Old Preface Introduction to Functions Functions and their Representations Functions as Mappings Algebraic Representations of Functions Geometric Representations of Functions Exercises Answers Constant and Linear Functions Constant Functions Linear Functions Linear Regression The Average Rate of Change of a Function Exercises Answers Absolute Value Functions Graphs of Absolute Value Functions Graphical Solution Techniques for Equations and Inequalities Exercises Answers Quadratic Functions Graphs of Quadratic Functions Inequalities involving Quadratic Functions Exercises Answers Polynomial Functions Graphs of Polynomial Functions Monomial Functions Polynomial Functions Exercises Answers The Remainder and Factor Theorems Exercises Answers Real Zeros of Polynomials For Those Wishing to use a Graphing Utility For Those Wishing NOT to use a Graphing Calculator The Intermediate Value Theorem and Inequalities Exercises Answers Complex Zeros and the Fundamental Theorem of Algebra Exercises Answers Rational Functions Introduction to Rational Functions Laurent Monomial Functions Local Behavior near Excluded Values End Behavior Exercises Answers Graphs of Rational Functions Exercises Answers Inequalities involving Rational Functions and Applications Exercises Answers Root, Radical and Power Functions Root and Radical Functions Root Functions Other Functions involving Radicals Exercises Answers Power Functions Rational Number Exponents Real Number Exponents Exercises Answers Equations and Inequalities involving Power Functions Exercises Answers Further Topics on Functions Graphs of Functions Exercises Answers Function Arithmetic Difference Quotients Exercises Answers Function Composition Exercises Answers Transformations of Graphs Vertical and Horizontal Shifts Reflections about the Coordinate Axes Scalings Transformations in Sequence Exercises Answers Relations and Implicit Functions Exercises Answers Inverse Functions Exercises Answers Exponential and Logarithmic Functions Exponential Functions Exercises Answers Logarithmic Functions Exercises Answers Properties of Logarithms Exercises Answers Equations and Inequalities involving Exponential Functions Exercises Answers Equations and Inequalities involving Logarithmic Functions Exercises Answers Applications of Exponential and Logarithmic Functions Applications of Exponential Functions Applications of Logarithms Exercises Answers The Conic Sections Introduction to Conics Parabolas Exercises Answers Circles Exercises Answers Ellipses Exercises Answers Hyperbolas Exercises Answers Systems of Equations and Matrices Systems of Linear Equations: Gaussian Elimination Exercises Answers Systems of Linear Equations: Augmented Matrices Exercises Answers Matrix Arithmetic Exercises Answers Systems of Linear Equations: Matrix Inverses Exercises Answers Determinants and Cramer's Rule Definition and Properties of the Determinant Cramer's Rule and Matrix Adjoints Exercises Answers Partial Fraction Decomposition Exercises Answers Systems of Non-Linear Equations Exercises Answers Inequalities and Regions in the Plane Exercises Answers Sequences and the Binomial Theorem Sequences Exercises Answers Summation Notation Extensions to Calculus: Geometric Series Extensions to Calculus: Area Exercises Answers Mathematical Induction Exercises Selected Answers The Binomial Theorem Exercises Answers Foundations of Trigonometry The Radian Measure of Angles Applications of Radian Measure: Circular Motion Exercises Answers The Circular Functions: Sine and Cosine Beyond the Unit Circle Exercises Answers Graphs of Sine and Cosine Applications of Sinusoids Exercises Answers The Circular Functions: Tangent, Secant, Cosecant, and Cotangent Exercises Answers Graphs of Secant, Cosecant, Tangent, and Cotangent Functions Graphs of the Secant and Cosecant Functions Graphs of the Tangent and Cotangent Functions Extended Interval Notation Exercises Answers Analytical Trigonometry The Pythagorean Identities Exercises Answers More Identities Sinusoids, Revisited Exercises Answers The Inverse Circular Functions Inverses of Secant and Cosecant: Trigonometry Friendly Approach Inverses of Secant and Cosecant: Calculus Friendly Approach Calculators and the Inverse Circular Functions. Solving Equations Using the Inverse Trigonometric Functions. Exercises Answers Equations and Inequalities Involving the Circular Functions Harmonic Motion Exercises Answers Geometric Applications of Trigonometry The Law of Sines Bearings Exercises Answers The Law of Cosines Exercises Answers Vectors Exercises Answers The Dot Product Vector Projections Exercises Answers Polar Coordinates and Parametric Equations Polar Coordinates Exercises Answers The Graphs of Polar Equations Exercises Answers The Polar Form of Complex Numbers Exercises Answers The Polar Form of the Conic Sections Rotation of Axes The Polar Form of Conics Exercises Answers Parametric Equations Exercises Answers Algebra Review Basic Set Theory and Interval Notation Some Basic Set Theory Notions Sets of Real Numbers Exercises Answers Real Number Arithmetic Exercises Answers The Cartesian Plane The Cartesian Coordinate Plane Distance in the Plane Exercises Answers Linear Equations and Inequalities Linear Equations Linear Inequalities Exercises Answers Graphing Lines Exercises Answers Systems of Two Linear Equations in Two Unknowns Exercises Answers Absolute Value Equations and Inequalities Absolute Value Equations Absolute Value Inequalities Exercises Answers Polynomial Arithmetic Polynomial Addition, Subtraction and Multiplication. Polynomial Long Division. Exercises Answers Basic Factoring Techniques Solving Equations by Factoring Exercises Answers Quadratic Equations Exercises Answers Complex Numbers Exercises Answers Rational Expressions and Equations Exercises Answers Radical Equations Rationalizing Denominators and Numerators Exercises Answers Variation Exercises Answers Geometry Review Angles in Degrees Exercises Answers Right Triangle Trigonometry Exercises Answers Selected Proofs The Density of the Rationals within the Reals Why Pi is Actually a Constant Cauchy's Bound Fermat's Penultimate Theorem Index
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