New to the Book

• Updated graphics emphasize clear visualization and mathematical correctness.
• New examples and figures have been added throughout all chapters, many based on user feedback. See, for instance, Example 3 in Section 9.1, which helps students overcome a conceptual obstacle.
• New types of homework exercises, including many geometric in nature, have been added. The new exercises provide different perspectives and approaches to each topic.
• Short URLs have been added to the historical marginnotes, allowing students to navigate directly to online information.
• New annotations within examples (in blue type) guide the student through the problem solution and emphasize that each step in a mathematical argument is rigorously justified.
• All chapters have been revised for clarity, consistency, conciseness, and comprehension.

Detailed content changes

Chapter 1

• Shortened 1.4 to focus on issues arising in use of mathematical software and potential pitfalls. Removed peripheral material on regression, along with associated exercises.
• Clarified explanation of definition of exponential function in 1.5.
• Replaced sin-1 notation for the inverse sine function with arcsin as default notation in 1.6, and similarly for other trig functions.
• Added new Exercises: 1.1: 59-62, 1.2: 21-22; 1.3: 64-65, 1.6: 61-64, 79cd; PE: 29-32. 

Chapter 2

• Added definition of average speed in 2.1.
• Updated definition of limits to allow for arbitrary domains. The definition of  limits is now consistent with the definition in multivariable domains later in the text and with more general mathematical usage.
• Reworded limit and continuity definitions to remove implication symbols and improve comprehension.
• Added new Example 7 in 2.4 to illustrate limits of ratios of trig functions.
• Rewrote 2.5 Example 11 to solve the equation by finding a zero, consistent with previous discussion.
• Added new Exercises: 2.1: 15-18; 2.2: 3h-k, 4f-I; 2.4: 19-20, 45-46; 2.5: 31-32; 2.6: 69-74; PE: 57-58; AAE: 35-38.

Chapter 3

• Clarified relation of slope and rate of change.
• Added new Figure 3.9 using the square root function to illustrate vertical tangent lines.
• Added figure of xsin(1x)in 3.2 to illustrate how oscillation can lead to non-existence of a derivative of a continuous function.
• Revised product rule to make order of factors consistent throughout text, including later dot product and cross product formulas.
• Added new Exercises: 3.2: 36, 43-44; 3.3: 65-66; 3.5: 43-44, 61bc; 3.6: 79-80, 111-113; 3.7: 27-28; 3.8: 97-100; 3.9: 43-46; 3.10: 47; AAE: 14-15, 26-27.  

Chapter 4

• Added summary to 4.1.
• Added new Example 3 with new Figure 4.27 and Example 12 with new Figure 4.35 to give basic and advanced examples of concavity.
• Added new Exercises: 4.1: 53-56, 67-70; 4.3: 45-46, 67-68; 4.4: 107-112; 4.6: 37-42; 4.7: 7-10; 4.8: 115-118; PE: 1-16, 101-102; AAE: 19-20, 38-39. Moved exercises 4.1: 5