Calculus: Concepts & Contexts
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Conceptual Exercises; The most important way to foster conceptual understanding is through assigned problems. Stewart Concepts offers various types of problems, including explanations/mathematical writing problems, use of graphs and tables, Concept Checks, and True/False quizzes in the review sections.
Graded Homework Exercises 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 Interesting real-world data gathered from a variety of contemporary sources introduces, motivates, and illustrates the concepts of calculus.
Instructor Resource Guide w/Solutions—The instructor's resource contains an abundance of resources keyed to the textbook by chapter and section, including diagnostic tests, chapter summaries, teaching strategies, chapter tests, final exams, and more.
Solutions Builder is an innovative online tool which allows professors to select the problems and solutions they wish to use, post them on their class website, or print them out for reference. This powerful online tool reduces the bulk of the solutions manual, and offers a personalized, flexible instructional supplement that suits everyone's needs.
Graded Homework Exercises 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 Interesting real-world data gathered from a variety of contemporary sources introduces, motivates, and illustrates the concepts of calculus.
Instructor Resource Guide w/Solutions—The instructor's resource contains an abundance of resources keyed to the textbook by chapter and section, including diagnostic tests, chapter summaries, teaching strategies, chapter tests, final exams, and more.
Solutions Builder is an innovative online tool which allows professors to select the problems and solutions they wish to use, post them on their class website, or print them out for reference. This powerful online tool reduces the bulk of the solutions manual, and offers a personalized, flexible instructional supplement that suits everyone's needs.
作者簡介
James Stewart
James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning—Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning—Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
目次
1. FUNCTIONS AND MODELS
2. LIMITS AND DERIVATIVES
3. DIFFERENTIATION RULES
4. APPLICATIONS OF DIFFERENTIATION
5. INTEGRALS
6. APPLICATIONS OF INTEGRATION
7. DIFFERENTIAL EQUATIONS
8. INFINITE SEQUENCES AND SERIES
9. VECTORS AND THE GEOMETRY OF SPACE
10. VECTOR FUNCTIONS
11. PARTIAL DERIVATIVES
12. MULTIPLE INTEGRALS
13. VECTOR CALCULUS
APPENDIXES.
A. Intervals, Inequalities, and Absolute Values.
B. Coordinate Geometry.
C. Trigonometry.
D. Precise Definitions of Limits.
E. A Few Proofs.
F. Sigma Notation.
G. Integration of Rational Functions by Partial Fractions.
H. Polar Coordinates.
I. Complex Numbers.
J. Answers to Odd-Numbered Exercises.
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