# Thomas' Calculus in SI Units, Global Edition (14e)

##### Description

*For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science*

** Thomas' Calculus** helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalised concepts. In the

**14th SI Edition**, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind. The result is a text that goes beyond memorising formulas and routine procedures to help students generalise key concepts and develop deeper understanding.

##### 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

##### Features & benefits

- 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.