Single Variable Calculus: Early Transcendentals

Assumptions Matter uses short explanations and well-chosen counterexamples to help students appreciate why hypotheses are needed in theorems.

Conceptual Insights encourage the student to develop a conceptual understanding of calculus by explaining important ideas clearly but informally.

Graphical Insights enhance the students' visual understanding by making the crucial connection between graphical properties and the underlying concept.

Reminders are margin notes that link back to important concepts discussed earlier in the text.

Section Summaries summarize a section’s key points in a concise and useful way.

Section Exercise Sets offer a comprehensive set of exercises closely coordinated with the text. These exercises vary in levels of difficulty from routine, to moderate, to more challenging. Also included are questions appropriate for written response or use of technology.
--Varying levels of difficulty from the routine drill problems to moderate and challenging exercises are included in each section’s exercise set.
--Preliminary Exercises begin each exercise set and need little or no computation. They can be used to check understanding of key concepts of a section before problems from the exercise set are assigned.
--Further Insights and Challenges are more challenging problems that help to extend a section’s material.

Historical Perspectives are brief vignettes that place key conceptual discoveries and advancements in their historical settings.

End of Chapter Review Exercises offer a comprehensive set of exercises closely coordinated with the chapter material.