Synopses & Reviews
Students 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 guidemore than104,000 copies were bought of the prior edition!includes problems and examples using graphing calculators.
Master calculus with Schaum'sthe 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 effectivley; 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 formatwithout 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 rememberfast! 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
- 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!
About the Author
Frank Ayers, Ph.D., (deceased) was a professor and head of the department of mathematics at Dickinson College. Elliott Mendelson, Ph.D., (Roslyn, NY) is a professor of mathematics at Queens College.
Table of Contents
Linear 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 of First and Second Order.