Briggs/Cochran is the most successful new calculus series published in the last two decades. The authors' years of teaching experience resulted in a text that reflects how students generally use a textbook: they start in the exercises and refer back to the narrative for help as needed. The text therefore builds from a foundation of meticulously crafted exercise sets, then draws students into the narrative through writing that reflects the voice of the instructor, examples that are stepped out and thoughtfully annotated, and figures that are designed to teach rather than simply supplement the narrative.
The authors appeal to students' geometric intuition to introduce fundamental concepts, laying a foundation for the rigorous development that follows. This book is an expanded version of Calculus by the same authors, with an entire chapter devoted to differential equations, additional sections on other topics, and additional exercises in most sections. See the "Features" section for more details.
1. Functions
2. Limits
3. Derivatives
4. App0licatiolns of the Derivative
5. Integration
6. Applications of Integration
7. Logarithmic and Exponential Functions
8. Integration Techniques
9. Differential Equations
10. Sequences and Infinite Series
11. Power Series
12. Parametric and Polar Curves
13. Vectors and Vector-Valued Functions
14. Functions of Several Variables
15. Multiple Integration
16. Vector Calculus