Precalculus : With Limits
ISBN: 9780470532027 | 0470532025
Format: HardcoverPublisher: John Wiley & Sons Inc
Pub. Date: 1/19/2010
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Engineers looking for an accessible approach to calculus will appreciate Young's introduction. The book offers a clear writing style that helps reduce any math anxiety they may have while developing their problem-solving skills. It incorporates Parallel Words and Math boxes that provide detailed annotations which follow a multi-modal approach. Your Turn exercises reinforce concepts by allowing them to see the connection between the exercises and examples. A five-step problem solving method is also used to help engineers gain a stronger understa... MORE
| Review: Equations and Inequalities | |
| Linear Equations | |
| Quadratic Equations | |
| Other Types of Equations | |
| Inequalities | |
| Graphing Equations | |
| Lines | |
| Modeling Variation | |
| Functions and Their Graphs | |
| Functions | |
| Graphs of Functions | |
| Graphing Techniques: Transformations | ... MORE|
| Combining Functions | |
| One-to-One Functions and Inverse Functions | |
| Polynomial and Rational Functions | |
| Quadratic Functions | |
| Polynomial Functions of Higher Degree | |
| Dividing Polynomials | |
| The Real Zeros of a Polynomial Function | |
| Complex Zeros: The Fundamental Theorem of Algebra | |
| Rational Functions | |
| Exponential and Logarithmic Functions | |
| Exponential Functions and Their Graphs | |
| Logarithmic Functions and Their Graphs | |
| Properties of Logarithms | |
| Exponential and Logarithmic Equations | |
| Exponential and Logarithmic Models | |
| Trigonometric Functions of Angles | |
| Angle Measure | |
| Right Triangle Trigonometry | |
| Trigonometric Functions of Angles | |
| The Law of Sines | |
| The Law of Cosines | |
| Trigonometric Functions of Real Numbers | |
| Trigonometric Functions: The Unit Circle Approach | |
| Graphs of Sine and Cosine Functions | |
| Graphs of Other Trigonometric Functions | |
| Analytic Trigonometry | |
| Verifying Trigonometric Identities | |
| Sum and Difference Identities | |
| Double-Angle and Half-Angle Identities | |
| Product-to-Sum and Sum-to-Product Identities | |
| Inverse Trigonometric Functions | |
| Trigonometric Equations | |
| Vectors, the Complex Plane, and Polar Coordinates | |
| Vectors | |
| The Dot Product | |
| Polar (Trigonometric) Form of Complex Numbers | |
| Products, Quotients, Powers, and Roots of Complex Numbers | |
| Polar Coordinates and Graphs of Polar Equations | |
| Systems of Linear Equations and Inequalities | |
| Systems of Linear Equations in Two Variables | |
| Systems of Linear Equations in Three Variables | |
| Systems of Linear Equations and Matrices | |
| Matrix Algebra | |
| The Determinant of a Square Matrix and Cramer's Rule | |
| Partial Fractions | |
| Systems of Linear Inequalities in Two Variables | |
| Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations | |
| Conic Basics | |
| The Parabola | |
| The Ellipse | |
| The Hyperbola | |
| Systems of Nonlinear Equations | |
| Systems of Nonlinear Inequalities | |
| Rotation of Axes | |
| Polar Equations of Conics | |
| Parametric Equations and Graphs | |
| Sequences and Series | |
| Sequences and Series | |
| Arithmetic Sequences and Series | |
| Geometric Sequences and Series | |
| Mathematical Induction | |
| The Binomial Theorem | |
| Limits: A Preview to Calculus 992 | |
| Introduction to Limits: Estimating Limits Numerically and Graphically | |
| Techniques for Finding Limits | |
| Tangent Lines and Derivatives | |
| Limits at Infinity; Limits of Sequences | |
| Finding the Area Under a Curve | |
| Appendix Prerequisites: Fundamentals of Algebra | |
| Real Numbers | |
| Integer Exponents and Scientific Notation | |
| Polynomials: Basic Operations | |
| Factoring Polynomials | |
| Rational Expressions | |
| Rational Exponents and Radicals | |
| Complex Numbers | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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