Precalculus
Mathematics for Calculus
by James Stewart, Lothar Redlin, Saleem Watson
7th Edition
Publisher: Cengage Learning
Book Details
| Print ISBN | 9781305071759 |
| eText ISBN | 9798214356594 |
| Publisher | Cengage Learning |
| Publishing Year | 2016 |
| Edition | 7th Edition |
| Language | English |
| Pages | 1088 |
Developing a deep, intuitive understanding of mathematical principles is essential for success in advanced scientific, engineering, and technical disciplines. Precalculus: Mathematics for Calculus 7th Edition addresses this critical educational need by delivering a clear, highly structured pathway that successfully bridges high school algebra and university-level calculus. By focusing on the core concept of functions and their real-world applications, this text prepares students to tackle complex quantitative challenges with confidence. The authors intentionally avoid the common academic pitfall of oversimplifying difficult topics, ensuring that learners build genuine mathematical maturity rather than relying on rote memorization. This rigorous approach helps students cultivate the analytical mindset required to excel in subsequent STEM coursework.
The collaborative expertise of James Stewart, Lothar Redlin, and Saleem Watson shines through in their balanced pedagogical framework. Throughout the chapters, the text seamlessly integrates algebraic, graphical, and numerical perspectives to help students visualize abstract mathematical ideas from multiple angles. Key themes include the thorough exploration of polynomial, rational, exponential, logarithmic, and trigonometric functions, alongside introductory concepts in analytic geometry and sequences. By introducing problem-solving strategies and mathematical modeling at an early stage, the authors encourage students to apply their knowledge to practical scenarios, fostering critical thinking skills that extend far beyond the classroom walls. This methodology ensures that students do not just perform calculations, but actually comprehend the underlying logic of the mathematical structures they study.
This comprehensive textbook is widely adopted by instructors seeking a rigorous yet accessible curriculum for diverse student cohorts. Distinctive features of Precalculus: Mathematics for Calculus 7th Edition include extensive graphing calculator exercises, detailed step-by-step examples, and a wealth of diverse practice problems that reinforce learning. For students seeking a flexible digital learning experience, the Precalculus: Mathematics for Calculus 7th Edition PDF offers convenient access to these rich resources on any device. This edition refines the authors' signature clarity and attention to detail, making it an indispensable tool for anyone preparing to transition into the demanding world of calculus.
Table of Contents
Chapter 1: Fundamentals
- • Real Numbers
- • Exponents and Radicals
- • Algebraic Expressions
- • Rational Expressions
- • Equations
- • Modeling with Equations
- • Inequalities
- • Coordinate Geometry and Graphs
- • Lines
Chapter 2: Functions
- • Functions and Function Notation
- • Graphs of Functions
- • Getting Information from the Graph of a Function
- • Average Rate of Change of a Function
- • Linear Functions and Models
- • Transformations of Functions
- • Combining Functions
- • One-to-One Functions and Their Inverses
Chapter 3: Polynomial and Rational Functions
- • Quadratic Functions and Models
- • Polynomial Functions and Their Graphs
- • Dividing Polynomials
- • Real Zeros of Polynomials
- • Complex Numbers
- • Complex Zeros and the Fundamental Theorem of Algebra
- • Rational Functions
Chapter 4: Exponential and Logarithmic Functions
- • Exponential Functions
- • The Natural Exponential Function
- • Logarithmic Functions
- • Laws of Logarithms
- • Exponential and Logarithmic Equations
- • Modeling with Exponential and Logarithmic Functions
Chapter 5: Trigonometric Functions: Unit Circle Approach
- • The Unit Circle
- • Trigonometric Functions of Real Numbers
- • Trigonometric Graphs
- • More Trigonometric Graphs
- • Inverse Trigonometric Functions and Their Graphs
- • Modeling Harmonic Motion
Chapter 6: Trigonometric Functions: Right Triangle Approach
- • Angle Measure
- • Trigonometry of Right Triangles
- • Trigonometric Functions of Angles
- • Inverse Trigonometry and Right Triangles
- • The Law of Sines
- • The Law of Cosines
Chapter 7: Analytic Trigonometry
- • Trigonometric Identities
- • Addition and Subtraction Formulas
- • Double-Angle, Half-Angle, and Product-to-Sum Formulas
- • Trigonometric Equations
Chapter 8: Polar Coordinates and Parametric Equations
- • Polar Coordinates
- • Graphs of Polar Equations
- • Polar Form of Complex Numbers; De Moivre's Theorem
- • Plane Curves and Parametric Equations
Chapter 9: Vectors in Two and Three Dimensions
- • Vectors in Two Dimensions
- • The Dot Product
- • Three-Dimensional Coordinate Geometry
- • Vectors in Three Dimensions
- • The Cross Product
Chapter 10: Systems of Equations and Inequalities
- • Systems of Linear Equations in Two Variables
- • Systems of Linear Equations in Several Variables
- • Matrices and Systems of Linear Equations
- • The Algebra of Matrices
- • Inverses of Matrices and Matrix Equations
- • Determinants and Cramer's Rule
- • Systems of Nonlinear Equations
- • Systems of Inequalities
Chapter 11: Analytic Geometry
- • Parabolas
- • Ellipses
- • Hyperbolas
- • Shifted Conics
- • Rotation of Axes
- • Polar Equations of Conics
Chapter 12: Sequences and Series
- • Sequences and Summation Notation
- • Arithmetic Sequences
- • Geometric Sequences
- • Mathematics of Finance
- • Mathematical Induction
- • The Binomial Theorem
Chapter 13: Limits: A Preview of Calculus
- • Finding Limits Numerically and Graphically
- • Finding Limits Algebraically
- • Tangent Lines and Rates of Change
- • Limits at Infinity; Limits of Sequences
- • Areas
Customer Reviews
0.0
0 reviews
No reviews yet. Be the first to review this book!
Write a Review
Reviewed by GradeFocus
▶Research Sources (12)
- 9798214356594: Precalculus: Mathematics for Calculus ...
- Precalculus by: James Stewart - 9798214356594 | RedShelf
- Textbook and Supplies | Allan Hancock College Bookstore
- Search Results : Cengage
- Precalculus: Cal Poly
- Textbook and Supplies | Allan Hancock College
- Precalculus: Mathematics for Calculus, 7th Edition - Cengage
- [PDF] Precalculus, Mathematics for Calculus 7th ed. - Jhevon World
- [PDF] Precalculus, Mathematics for Calculus 7th ed.
- Precalculus: Mathematics for Calculus - 7th Edition - Quizlet
- Precalculus: Mathematics for Calculus - Cengage Instructor Center
- Precalculus : mathematics for calculus : Stewart, James, 1941
