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Ayres Jr.F., Mendelson E. Schaum's Outline of Calculus: 1,105 Solved Problems

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Ayres Jr.F., Mendelson E. Schaum's Outline of Calculus: 1,105 Solved Problems
6th Edition. — The McGraw-Hill Companies, Inc., USA, 2013. — 548 p. — (Schaum's Outline Series). — ISBN 0071795537.
Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 1,100 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems–it's just like having your own virtual tutor! You’ll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you 1,105 fully solved problems Concise explanations of all calculus concepts Expert tips on using the graphing calculator Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time–and get your best test scores!
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’Hôpital’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
Techniques of Integration IV: Miscellaneous Substitutions
Improper Integrals
Applications of Integration III: 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 Formula with Remainder
Partial Derivatives
Total Differential Differentiability Chain Rules
Space Vectors
Surfaces 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
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