Schaum's outline of theory and problems of beginning calculus
著者
書誌事項
Schaum's outline of theory and problems of beginning calculus
（Schaum's outline series）
McGraw-Hill, c1997
2nd ed
- pbk.
- タイトル別名
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Beginning calculus
Theory and problems of beginning calculus
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注記
Includes index
内容説明・目次
内容説明
This easy-to-understand calculus study aid is ideal for those who are new to the subject. It offers a well-illustrated, step-by-step introduction that moves along at an easy-to-keep-up-with pace. Use it with your textbook or for independent study to improve your comprehension and boost your grades. It features 226 solved and 513 skill-building supplementary problems - more than other study guides. Whether you simply want to feel confident at test time or build a solid foundation in calculus for more advanced math, science, and engineering course, "Schaum's Outline of Beginning Calculus" is students' first choice.This will make up the calculus segments of one-semester liberal arts courses and the various one-semester Calculus courses for business or life sciences. This book will also address weaker students in general freshman calculus and high school advanced placement courses. Theory is restricted to fundamentals of differentiation and integration (single-variable) and the solved problems, with no steps omitted, include reviews of algebra.
This updated edition will include: problems suitable for graphing calculators and existing problems adapted to involve calculator use; emphasis on algorithmic aspects of Calculus; Newton's method will be given a separate section, a section various approximation techniques for integration, Simpson's Rule the Midpoint rule; a section that presents the traditional treatment of exponential and logarithmic functions, which method some textbooks have gone back to.
目次
Coordinate Systems on a Line.Coordinate Systems in a Plane.Graphs of Equations.Straight Lines.Intersections of Graphs.Symmetry.Functions and Their Graphs.Limits.Special Limits.Continuity.The Slope of a Tangent Line.The Derivative.More on the Derivative.Maximum and Minimum Problems.The Chain Rule.Implicit Differentiation.The Mean-Value Theorem.The Sign of the Derivative.Rectilinear Motion.Instantaneous Velocity.Instantaneous Rate of Change.Related Rates.Approximation by Differentials.Newton's Method.Higher-Order Derivatives.Applications of the Second Derivative.Graph Sketching.More Maxiumum and Minimum Problems.Angle Measure.The Sine and Cosine Functions.Graphs and Derivatives of the Sine and Cosine Functions.The Tangent and Other Trigonometric Functions.Antiderivatives.The Definite Integral.The Fundamental Theorem of Calculus.Applications of Integration I: Area and Arc Length.Applications of Exponential Growth and Decay.Inverse Trigonometric Functions.L'Hopital's Rule.Exponential Growth and Decay.Inverse Trigonometric Functions.Integration by Parts.Trigonometric Integrands.Trigonometric Substitutions.Integration of Rational Functions: The Method of Partial Fractions.Answers to Supplementary Problems.
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