Thomas' Calculus, Si Units + Mylab Mathematics With Pearson Etext 14th Edition (asmath201,asmath102)

By (author) Hass, Joel; By (author) Heil, Christopher E.; By (author) Weir Maurice
Table of contents
1. Functions 2. Limits and Continuity 3. Derivatives 4. Applications of Derivatives 5. Integrals 6. Applications of Definite Integrals 7. Transcendental Functions 8. Techniques of Integration 9. Infinite Sequences and Series 10. Parametric Equations and Polar Coordinates 11. Vectors and the Geometry of Space 12. Vector-Valued Functions and Motion in Space 13. Partial Derivatives 14. Multiple Integrals 15. Integrals and Vector Fields 16. First-Order Differential Equations 17. Second-Order Differential Equations (Online) Appendices
Feature
New co-author Chris Heil (Georgia Institute of Technology) and co-author Joel Hass continue Thomas’ tradition of developing students’ mathematical maturity and proficiency, going beyond memorising formulas and routine procedures, and showing students how to generalise key concepts once they are introduced. The authors are careful to present key topics, such as the definition of the derivative, both informally and formally. The distinction between the two is clearly stated as each is developed, including an explanation as to why a formal definition is needed. Ideas are introduced with examples and intuitive explanations that are then generalised so that students are not overwhelmed by abstraction. Results are both carefully stated and proved throughout the book, and proofs are clearly explained and motivated. Students and instructors who proceed through the formal material will find it as carefully presented and explained as the informal development. If the instructor decides to downplay formality at any stage, it will not cause problems with later developments in the text. A flexible table of contents divides topics into manageable sections, allowing instructors to tailor their course to meet the specific needs of their students. Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book. Strong exercise sets feature a great breadth of problems—progressing from skills problems to applied and theoretical problems—to encourage students to think about and practice the concepts until they achieve mastery. In the 14th SI Edition, the authors added new exercises throughout, many geometric in nature. Writing exercises placed throughout the text ask students to explore and explain a variety of calculus concepts and applications. In addition, the end of each chapter contains a list of questions for students to review and summarise what they have learned. Many of these exercises make good writing assignments. Technology exercises (marked with a T) are included in each section, asking students to use the calculator or computer when solving the problems. In addition, Computer Explorations give the option of assigning exercises that require a computer algebra system (CAS, such as Maple or Mathematica). Each major topic is developed with both simple and more advanced examples to give the basic ideas and illustrate deeper concepts. Figures are conceived and rendered to provide insight for students and support conceptual reasoning. In the 14th SI Edition, new figures are added to enhance understanding and graphics are revised throughout to emphasise clear visualisation. Annotations within examples (shown in blue type) guide students through the problem solution and emphasise that each step in a mathematical argument is rigorously justified. For the 14th SI Edition, many more annotations were added. End-of-chapter materials include review questions, practice exercises covering the entire chapter, and a series of Additional and Advanced Exercises with more challenging or synthesising problems.
New feature
Co-authors Joel Hass and Chris Heil reconsidered every word, symbol, and piece of