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Calculus: Single Variable, Textbook and Student Solutions Manual, 5th Edition
John Wiley and Sons Ltd, December 2009
Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.
New to this edition:
- Expanded Skills and Practice: The 5th edition includes a number new of skill-building and practice exercises, as well as additional problems.
- Updated Data and Models: References to dates, prices, and other time-bound quantities have been updated for contemporary applied examples, problems, and projects. For example, Section 11.7 now introduces the current debate on Peak Oil production, underscoring the importance of mathematics in understanding the world's economic and social problems.
- New Projects: There are new projects in Chapter 1:Which way is the Wind Blowing?; Chapter 5: The Car and the Truck; Chapter 9: Prednisone; and Chapter 10: The Shape of Planets.
- More Problems: 10% more "problem"-type questions now included in the test banks and instructor's manuals.
- Chapter 4 Reorganization: This chapter has been reorganized to smooth the approach to optimization.
- New ConcepTests: Promote active learning in the classroom. These can be used with or without clickers, and have been shown to dramatically improve student learning.
- Expanded Appendices: A new Appendix D introducing vectors in the plane has been added. This can be covered at any time, but may be particularly useful in the conjunction with Section 4.8 on parametric equations.
- Foundations: The 5th edition of the text provides students with a clear understanding of the ideas of calculus as a solid foundation for subsequent courses in mathematics and other disciplines.
- Rule of Four: Encourages students with a variety of learning styles to expand their knowledge by presenting ideas and concepts graphically, numerically, symbolically, and verbally.
- Balanced Approach: The authors understand the important balance between concepts and skills. As instructors themselves, they know that the balance that an instructor chooses depends on the students they have: sometimes a focus on conceptual understanding is best; sometimes more drill is appropriate. The flexibility of the Fifth Edition allows instructors to tailor the course to their students.
- Problems: Creative problems, of great variety, probe student understanding.
- Emphasis on modeling
- Student Understanding: Exposition written in a way that students can actually read and more easily understand.
- Flexible approach to technology
Deborah Hughes Hallett is Adjunct Professor of Public Policy and Professor of Mathematics at the University of Arizona. She graduated from Cambridge University in England and has taught at Middle East Technical University in Ankara, Turkey. Her work is on strategies to improve the teaching of mathematics, and she is interested in promoting international cooperation between mathematicians. She has served on committees for the National Academy of Sciences and organized three international conferences on the teaching of mathematics. She is a fellow of the American Advancement of Science and the author or coauthor of seven books, which have been translated into several languages. Her work has been recognized by prizes from Harvard, Arizona, the Association for Women in Mathematics, and the Mathematical Association of America.