# Schaum’s Outline of Calculus, 6th Edition

- Length: 560 pages
- Edition: 6
- Language: English
- Publisher: McGraw-Hill Education
- Publication Date: 2012-12-04
- ISBN-10: 0071795537
- ISBN-13: 9780071795531
- Sales Rank: #105085 (See Top 100 Books)

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**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!*

### Table of Contents

Chapter 1 Linear Coordinate Systems. Absolute Value. Inequalities

Chapter 2 Rectangular Coordinate Systems

Chapter 3 Lines

Chapter 4 Circles

Chapter 5 Equations and Their Graphs

Chapter 6 Functions

Chapter 7 Limits

Chapter 8 Continuity

Chapter 9 The Derivative

Chapter 10 Rules for Differentiating Functions

Chapter 11 Implicit Differentiation

Chapter 12 Tangent and Normal Lines

Chapter 13 Law of the Mean. Increasing and Decreasing Functions

Chapter 14 Maximum and Minimum Values

Chapter 15 Curve Sketching. Concavity. Symmetry

Chapter 16 Review of Trigonometry

Chapter 17 Differentiation of Trigonometric Functions

Chapter 18 Inverse Trigonometric Functions

Chapter 19 Rectilinear and Circular Motion

Chapter 20 Related Rates

Chapter 21 Differentials. Newton’s Method

Chapter 22 Antiderivatives

Chapter 23 The Definite Integral. Area Under a Curve

Chapter 24 The Fundamental Theorem of Calculus

Chapter 25 The Natural Logarithm

Chapter 26 Exponential and Logarithmic Functions

Chapter 27 L’Hôpital’s Rule

Chapter 28 Exponential Growth and Decay

Chapter 29 Applications of Integration I: Area and Arc Length

Chapter 30 Applications of Integration II: Volume

Chapter 31 Techniques of Integration I: Integration by Parts

Chapter 32 Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions

Chapter 33 Techniques of Integration III: Integration by Partial Fractions

Chapter 34 Techniques of Integration IV: Miscellaneous Substitutions

Chapter 35 Improper Integrals

Chapter 36 Applications of Integration III: Area of a Surface of Revolution

Chapter 37 Parametric Representation of Curves

Chapter 38 Curvature

Chapter 39 Plane Vectors

Chapter 40 Curvilinear Motion

Chapter 41 Polar Coordinates

Chapter 42 Infinite Sequences

Chapter 43 Infinite Series

Chapter 44 Series with Positive Terms. The Integral Test. Comparison Tests

Chapter 45 Alternating Series. Absolute and Conditional Convergence. The Ratio Test

Chapter 46 Power Series

Chapter 47 Taylor and Maclaurin Series. Taylor’s Formula with Remainder

Chapter 48 Partial Derivatives

Chapter 49 Total Differential.Differentiability.Chain Rules

Chapter 50 Space Vectors

Chapter 51 Surfaces and Curves in Space

Chapter 52 Directional Derivatives. Maximum and Minimum Values

Chapter 53 Vector Differentiation and Integration

Chapter 54 Double and Iterated Integrals

Chapter 55 Centroids and Moments of Inertia of Plane Areas

Chapter 56 Double Integration Applied to Volume Under a Surface and the Area of a Curved Surface

Chapter 57 Triple Integrals

Chapter 58 Masses of Variable Density

Chapter 59 Differential Equations of First and Second Order