微積分(偏理工)

Essential Calculus Metric Version (Custom Solutions)

+作者:

Stewart

+年份:
2018 年1 版
+ISBN:
9789579282086
+書號:
MA0429PC
+規格:
平裝/彩色
+頁數:
864
+出版商:
聖智學習
+參考網址:
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. The data in examples and exercises hate teen updated to be more timely.
. New examples have teen added. And the solutions to some of the existing examples have been amplified.
. There new projects have been added: For instance, in the project The Speeds LZR Racer it is explained that this suit reduces drag in the water and, as a result, many swimming records were broken. Students are asked why a small decrease in drag can have a big effect on performance.
. I have streamlined Chapter 13 (Multiple Integrals) by combining the first two sections so that iterated integrals are treated earlier.
. Many exercises in each chapter are new.

●Conceptual Exercises
The most important way to foster conceptual understanding is through the problems that we assign. To that end I have devised various types of problems. Some exercise sets begin with requests to explain the meanings of the basic concepts of the section.
  Another type of exercise uses verbal description to test conceptual understanding. I particularly value problems that combine and compare graphical, numerical, and algebraic approaches.
●Graded Exercise Sets
Each exercise set is carefully graded, progressing from basic conceptual exercises and skill-development problems to more challenging problems involving applications and proofs.
●Real-World Data
My assistants and I spent a great deal of time looking in libraries, contacting companies and government agencies, and searching the Internet for interesting real-world data to introduce, motivate, and illustrate the concepts of calculus. As a result, many of the examples and exercises deal with functions defined by such numerical data or graphs.
●Projects
One way of involving students and making them active learners is to have them work (perhaps in groups) on extended projects that give a feeling of substantial accomplishment when completed. I have included some projects: Applied Projects involve applications that are designed to appeal to the imagination of students. Discovery Projects anticipate results to be discussed later or encourage discovery through pattern recognition.

James Stewart

1. FUNCTIONS AND LIMITS.
2. DERIVATIVES.
3. APPLICATION OF DIFFERENTIATION.
4. INTEGRALS.
5. APPLICATIONS OF INTEGRATION.
6. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS.
7. TECHNIQUES OF INTEGRATION.
8. FURTHER APPLICATIONS OF INTEGRATION.
9. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
10. INFINITE SEQUENCES AND SERIES.
11. VECTORS, VECTOR FUNCTIONS AND THE GEOMETRY OF SPACE.
12. PARTIAL DERIVATIVES.
13. MULTIPLE INTEGRALS.