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050 0 0 _aQA303
_b.A96 1999
100 1 _aAyres, Frank,
_91186
245 1 0 _aSchaum's Outline of Calculus /
_cFrank Ayres, Jr., Elliot Mendelson.
246 2 _aCalculus
250 _a4th ed.
260 _aNew York :
_bMcGraw-Hill,
_cc1999.
300 _axi, 578 p. :
_bill. ;
_c28 cm.
490 0 _aSchaum's outline series
500 _aRev. ed. of: Schaum's outline of theory and problems of differential and integral calculus. 3rd ed. c1990.
500 _aIncludes index.
505 _aLinear Coordinate Systems. Absolute Value. Inequalities. Rectangular Coordinate Systems. Lines. Circles. Equations and Their Graphs. Functions. Limits. Continuity. The Derivative. Rules for Differentiating Functions. Implicit Differentiation. Tangent and Normal Lines. Law of the Mean. Increasing and Decreasing Functions. Maximum and Minimum Values. Curve Sketching. Concavity. Symmetry. Review of Trigonometry. Differentiation of Trigonometric Functions. Inverse Trigonometric Functions. Rectilinear and Circular Motion. Related Rates. Differentials. Newton's Method. Antiderivatives. The Definite Integral. Area Under a Curve.The Fundamental Theorem of Calculus. The Natural Logarithm. Exponential and Logarithmic Functions. L'Hopital's Rule. Exponential Growth and Decay. Applications of Integration I: Area and Arc Length. Applications of Integration II: Volume. Techniques of Integration I: Integration by Parts. Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions. Techniques of Integration III: Integration by Partial Fractions. Miscellaneous Substitutions. Improper Integrals. Applications of Integration II: Area of A Surface of Revolution. Parametric Representation of Curves.Curvature. Plane Vectors. Curvilinear Motion. Polar Coordinates.Infinite Sequences. Infinite Series. Series with Positive Terms. The Integral Test. Comparison Tests.Alternating Series. Absolute and Conditional Convergence. The Ratio Test. Power Series. Taylor and Maclaurin Series. Taylor's Formual with Remainder. Partial Derivatives.Total Differential. Differentiability. Chain Rules. Space Vectors.Surface and Curves in Space. Directional Derivatives. Maximum and Minimum Values. Vector Differentiation and Integration. Double and Iterated Integrals. Centroids and Moments of Inertia of Plane Areas.Double Integration Applied to Volume Under a Surface and the Area of A Curved Surface. Triple Integrals. Masses of Variable Density.Differential Equations o
520 _aStudents can gain a thorough understanding of differential and integral calculus with this powerful study tool. They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide - includes problems and examples using graphing calculators. Master calculus with Schaum's - the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study 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, this book helps you: brush up before tests; find answers fast; study quickly and more effectively; get the big picture without spending hours poring over lengthy textbooks. Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format - without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill.Compatible with any classroom text, Schaum's let you study at your own pace and remind you of all the important facts you need to remember - fast! And Schaum's are so complete. Inside, you will find: 1103 problems, with step-by-step solutions; new graphing calculator help, with practical problems; math review sections to help the under prepared; and complete explanations of calculus concepts. If you want top grades and thorough understanding of calculus, this powerful study tool is the best tutor you can have!
650 0 _aCalculus
_vOutlines, syllabi, etc.
_91187
650 0 _aCalculus
_vProblems, exercises, etc.
_9930
700 1 _aAyres, Frank,
_d1901-1994.
_tSchaum's outline of theory and problems of differential and integral calculus.
_91188
700 1 _aMendelson, Elliott.
_91189
942 _2lcc
_n0
_cBK
999 _c343
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