Contemporary precalculus through applications second edition – Contemporary Precalculus Through Applications, Second Edition, presents a fresh and engaging approach to teaching precalculus by seamlessly integrating real-world applications into the learning process. This comprehensive textbook is designed to empower students with a deep understanding of mathematical concepts and their practical significance.
The book’s logical organization and clear explanations guide students through a wide range of mathematical topics, including functions, graphs, trigonometry, and analytic geometry. Each chapter is carefully crafted to build upon prior knowledge and foster a strong foundation for future studies.
Book Overview
Contemporary Precalculus Through Applications, Second Edition, by Robert Blitzer, is a comprehensive textbook designed to introduce students to the fundamental concepts of precalculus through real-world applications. The book is intended for students with a strong algebraic background and is appropriate for a one-semester or two-semester precalculus course.
The book is organized into 12 chapters, each covering a specific mathematical topic. The chapters are arranged in a logical progression, starting with the basics of algebra and trigonometry and progressing to more advanced topics such as conic sections and sequences and series.
One of the key features of the book is its focus on applications. Each chapter includes numerous examples and exercises that show students how precalculus can be used to solve real-world problems. The book also includes a variety of projects and activities that allow students to apply their knowledge in a practical setting.
Mathematical Content
The mathematical content of Contemporary Precalculus Through Applications, Second Edition, covers a wide range of topics, including:
- Algebra: equations, inequalities, functions, graphs, matrices, and determinants
- Trigonometry: angles, triangles, trigonometric functions, and identities
- Analytic geometry: conic sections, polar coordinates, and parametric equations
- Sequences and series: arithmetic and geometric sequences, and series
- Limits and continuity: limits of functions, continuity, and the intermediate value theorem
The book presents these concepts in a clear and concise manner, with numerous examples and exercises to help students understand the material.
Applications and Examples
Contemporary Precalculus Through Applications, Second Edition, integrates applications into the learning process in a variety of ways. Each chapter includes numerous examples and exercises that show students how precalculus can be used to solve real-world problems. The book also includes a variety of projects and activities that allow students to apply their knowledge in a practical setting.
For example, one project in the book asks students to design a roller coaster using the principles of physics. Another project asks students to use trigonometry to determine the height of a building. These projects and activities help students to see how precalculus can be used to solve real-world problems and to develop their problem-solving skills.
Pedagogical Features
Contemporary Precalculus Through Applications, Second Edition, includes a variety of pedagogical features to support student learning and engagement. These features include:
- Numerous examples and exercises: Each chapter includes numerous examples and exercises that help students to understand the material.
- Chapter summaries: Each chapter includes a summary that reviews the key concepts covered in the chapter.
- Review exercises: Each chapter includes a set of review exercises that help students to assess their understanding of the material.
- Interactive and multimedia elements: The book includes a variety of interactive and multimedia elements, such as videos, animations, and simulations, that help students to visualize the concepts and to learn in a more engaging way.
Table of Contents: Contemporary Precalculus Through Applications Second Edition
| Chapter | Topic |
|---|---|
| 1 | Introduction to Functions and Graphs |
| 2 | Linear Functions and Equations |
| 3 | Quadratic Functions and Equations |
| 4 | Polynomial Functions |
| 5 | Rational Functions |
| 6 | Exponential and Logarithmic Functions |
| 7 | Trigonometric Functions |
| 8 | Analytic Trigonometry |
| 9 | Systems of Equations and Inequalities |
| 10 | Matrices and Determinants |
| 11 | Sequences and Series |
| 12 | Limits and Continuity |
Index
| Term | Page |
|---|---|
| Algebra | 1-100 |
| Analytic geometry | 200-300 |
| Applications | 1-300 |
| Calculus | 300-400 |
| Functions | 1-100 |
| Limits | 400-500 |
| Matrices | 200-300 |
| Precalculus | 1-500 |
| Sequences | 300-400 |
| Series | 300-400 |
| Trigonometry | 100-200 |
Common Queries
What is the primary audience for Contemporary Precalculus Through Applications?
High school and college students enrolled in precalculus courses.
How does the book approach the teaching of precalculus?
Through a unique integration of real-world applications into each chapter, making mathematical concepts more relatable and meaningful.
What are some of the key features of the book?
Comprehensive coverage of mathematical concepts, abundant practice exercises, interactive multimedia elements, and a user-friendly organization.
