Precalculus: Concepts Through Functions: A Right Triangle Approach to Trigonometry, Fourth Edition

A Precalculus Text Organized Around Functions 📐

Precalculus: Concepts Through Functions: A Right Triangle Approach to Trigonometry, Fourth Edition presents precalculus as a connected study of functions rather than a collection of disconnected techniques. Michael Sullivan and Michael Sullivan III build the material so that algebraic, exponential, logarithmic, and trigonometric ideas reinforce one another, with trigonometry introduced through a right-triangle perspective. The result is a textbook designed to help students understand why the mathematics works, not just how to reproduce steps.

What Makes the Fourth Edition Distinctive

The fourth edition keeps the features that have made the Sullivan series a familiar classroom resource while refining the student experience. Each chapter opens with a real-world article and a related project, giving the mathematics a context. Learning objectives appear at the start of sections and again where the objective is covered, so students can track what they are expected to master. ‘Preparing for This Section’ reviews reactivate prerequisite skills before new material begins, and ‘Now Work’ prompts send readers immediately to related exercises after key examples.

Practice That Builds From Skills to Applications 📊

Exercise sets move through several levels. Readers begin with Concepts and Vocabulary items, then work through Skill Building problems correlated to examples. Mixed Practice asks them to combine ideas, while Applications and Extensions show how the mathematics applies beyond the page. Discussion and Writing exercises invite students to explain concepts in their own words. ‘Retain Your Knowledge’ problems and cumulative reviews help keep earlier skills alive throughout the course.

Support for Conceptual Understanding

• Exploration and Seeing the Concept: graphing activities that foreshadow or reinforce important ideas.
• In Words: plain-language restatements of select definitions and theorems.
• Warnings: notes that point out common mistakes before they become habits.
• Model It! examples and problems: tasks that require building a mathematical model from a verbal description or data.
• Calculus icons: markers that identify material especially important for later calculus study.

Review and Exam Preparation

Each chapter closes with a structured review. ‘Things to Know’ lists key theorems, formulas, and definitions. ‘You Should Be Able to…’ matches objectives with examples and practice exercises. Review Exercises and a Chapter Test provide comprehensive practice, and Cumulative Reviews beginning in Chapter 2 help students prepare for final exams. This organization makes the book useful for semester-long courses, independent review, and instructor-led planning.

Who This Edition Is For

This fourth edition is suited to students taking precalculus, college algebra and trigonometry, or a course that prepares them for calculus. Its function-centered approach and extensive exercise sets may also appeal to instructors who want a dependable structure and to independent learners who need clear objectives, worked examples, and plenty of practice. The front matter references Pearson’s MyLab Math course resources; access to those online materials requires a separate code and is not part of the textbook itself.

Why the Function-Centered Approach Matters

By keeping functions at the center, the book helps readers see connections among formulas, graphs, and real-world situations. That perspective can make later calculus study feel less like a leap and more like a continuation. For students who want a precalculus text with a strong pedagogical framework, this edition offers both breadth and structure.