3000 Solved Problems in Calculus

9780070415232

0070415234

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, hundreds of thousands of students improve their test scores and final grades with these indispensible guides. Get the edge on your classmates. Use Schaum's! f you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests ind answers fast; Study quickly and more effectively; Get the big picture without spending hours poring over lengthy textbooks. Timesaving features include: Step-by-step solutions to problems; Complete explanations of every step. Thousands of practice problems; Problems from every area of calculus; Problems grouped by topic; A wealth of problems on each topic; Clear diagrams and illustrations.Comprehensive index. Compatible with any classroom text, Schaum's 3000 Solved Problems in Calculus lets you progress at your own pace and find the anwers you need fast! This Schaum's Solved Problem Guide is so complete it's the perfect tool for graduate or professional exam review! You get fully solved problems explained step-by-step in chapters on: Inequalities. bsolute Value. Lines. Circles. Functions and Their Graphs. Limits. Continuity o 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 of Rational Functions: The Method of Partial Fractions. 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. Index.