Conic Sections and Polar Coordinates:Ĭlassifying Conic Sections by Eccentricity.Ĭonics and Parametric Equations The Cycloid.Īlternating Series, Absolute and Conditional Convergence.Ĭonvergence of Taylor Series Error Estimates.ġ3. Graphical Solutions of Autonomous Equations.Īpplications of First-Order Differential Equations.ġ0. Slope Fields and Separable Differential Equations.įirst-Order Linear Differential Equations.
Integral Tables and Computer Algebra Systems. Integration of Rational Functions by Partial Fractions. Volumes by Slicing and Rotation About an Axis.Īreas of Surfaces of Revolution and The Theorems of Pappus. Indefinite Integrals and the Substitution Rule. Sigma Notation and Limits of Finite Sums. Indeterminate Forms and L'Hopital's Rule. Monotonic Functions and the First Derivative Test. Identifying Functions Mathematical Models.Ĭombining Functions Shifting and Scaling Graphs. Every effort has been made to insure that all content in the new edition reinforces thinking and encourages deep understanding of the material. The ambition of Thomas 11e is to teach the ideas of Calculus so that students will be able to apply them in new and novel ways, first in the exercises but ultimately in their careers. The authors have also excised extraneous information in general and have made the technology much more transparent. Many of the examples have been trimmed of distractions and rewritten with a clear focus on the main ideas. In addition, the table of contents has been refined to match the standard syllabus. The exercises develop this theme as a pivot point between the lecture in class, and the understanding that comes with applying the ideas of Calculus. The book’s theme is that Calculus is about thinking one cannot memorize it all. For the 11th edition, the authors have added exercises cut in the 10th edition, as well as, going back to the classic 5th and 6th editions for additional exercises and examples. The new edition of Thomas is a return to what Thomas has always been: the book with the best exercises.
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