3000 solved problems in calculus
著者
書誌事項
3000 solved problems in calculus
（Schaum's solved problems series）
McGraw-Hill, c1988
- タイトル別名
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Schaum's 3000 solved problems in calculus
Schaum's three thousand solved problems in calculus
大学図書館所蔵 全5件
内容説明・目次
内容説明
Master calculus with Schaum's--the high-performance solved-problem guide.
It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!
Students love Schaum's Solved Problem Guides because they produce results. Each year, thousands of students improve their test scores and final grades with these indispensable guides. Get the edge on your classmates. Use Schaum's!
If you don't have a lot of time but want to excel in class, use this book to:
Brush up before testsStudy quickly and more effectivelyLearn the best strategies for solving tough problems in step-by-step detailReview what you've learned in class by solving thousands of relevant problems that test your skill
Compatible with any classroom text, Schaum's Solved Problem Guides let you practice at your own pace and remind you of all the important problem-solving techniques you need to remember--fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.
Inside you will find:
3000 solved problems with complete solutions--the largest selection of solved problems yet published on this subjectAn index to help you quickly locate the types of problems you want to solveProblems like those you'll find on your examsTechniques for choosing the correct approach to problemsGuidance toward the quickest, most efficient solutions
If you want top grades and thorough understanding of calculus, this powerful study tool is the best tutor you can have!
目次
- Inequalities
- absolute value
- lines
- circles
- functions and their graphs
- limits
- continuity
- the derivative
- the chain rule
- trigonometric functions and their derivatives
- Rolle's theorem, the mean value theorem and the sign of the derivative
- higher-order derivatives and implicit differentiation
- maxima and minima
- related rates
- curve sketching (graphs)
- applied maximum and minimum problems
- rectilinear motion
- approximation by differentials
- antiderivatives (indefinite integrals)
- the definite integral and the fundamental theorem of calculus
- area and arc length
- volume
- the natural logarithm
- exponential functions
- l"Hopital's rule
- exponential growth and decay
- inverse trigonometric functions
- integration by parts trigonometric integrands and substitutions
- integration by rational functions - the method of partial functions
- integrals for surface area, work, centroids
- improper integrals
- planar vectors
- parametric equations
- vector functions, curvilinear motion
- polar coordinates
- infinite sequences
- infinite series
- power series
- Taylor and MacLaurin series
- vectors in space, lines and planes
- functions of several variables
- partial derivatives
- directional derivatives and the gradient extreme values
- multiple integrals and their applications
- vector functions in space
- divergence and curl, line integrals
- differential equations.
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