Thomas' Calculus: Early Transcendentals, Single Variable

Key differences between 13th and 12th editions

• Period between current and previous publications: 4 years (2013 vs 2009).
• The material in the Thirteenth Edition of Thomas' Calculus: ET, Single Variable is covered in 11 chapters as in the Eleventh Edition.
• Two new sections:
• Section 8.1 "Using Basic Integration Formulas" reviews basic integration formulas and the Substitution Rules combined with algebraic methods and trigonometric identities.
• Section 8.10 "Probability" as an application of improper integrals to making predictions for probabilistic models, with a wide range of applications in business and sciences.
• Presentation of absolute convergence before considering the Ratio and Root Tests for convergence of a series, which allows the tests to be stated in their stronger forms (Theorems 13 and 14, Section 10.5).
• Updated and new art with additional tables.
• New examples, including:
• Predicting the rise in college tuition costs
• Predicting the decline in tuberculosis death rates
• Minimizing production costs
• Integration by parts
• Log formula for the inverse hyperbolic sine function
• Using the Integral Test
• Finding the perimeter of an ellipse
• Testing multivariable critical points in an exponential function