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Schaum's Outline of Calculus, Seventh Edition

Medium: Buch
ISBN: 978-1-264-25833-8
Verlag: McGraw-Hill Education Ltd
Erscheinungstermin: 22.10.2021
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Study smarter and stay on top of your calculus course with the bestselling Schaum’s Outline—now with the NEW Schaum’s app and website!

Schaum’s Outline of Calculus, Seventh Edition is the go-to study guide for hundreds of thousands of high school and college students enrolled in calculus courses—including Calculus, Calculus II, Calculus III, AP Calculus and Precalculus. With an outline format that facilitates quick and easy review, Schaum’s Outline of Calculus, Seventh Edition helps you understand basic concepts and get the extra practice you need to excel in these courses.

Chapters include Linear Coordinate Systems, Functions, Limits, Rules for Differentiating Functions, Law of the Mean, Inverse Trigonometric Functions, The Definite Integral, Space Vectors, Directional Derivatives, and much, much more.

Features:

- NEW to this edition: the new Schaum’s app and website!
- 1,105 problems solved step by step
- 30 problem-solving videos online
- Outline format supplies a concise guide to the standard college course in calculus
- Clear, concise explanations covers all course fundamentals
- Hundreds of additional practice problems
- Supports the major leading textbooks in calculus
- Appropriate for the following courses: Calculus I, Calculus II, Calculus III, AP Calculus, Precalculus

Produkteigenschaften

  • Artikelnummer: 9781264258338
  • Medium: Buch
  • ISBN: 978-1-264-25833-8
  • Verlag: McGraw-Hill Education Ltd
  • Erscheinungstermin: 22.10.2021
  • Sprache(n): Englisch
  • Auflage: 7. Auflage 2021
  • Produktform: Kartoniert
  • Gewicht: 1148 g
  • Seiten: 569
  • Format (B x H x T): 208 x 274 x 30 mm
  • Ausgabetyp: Kein, Unbekannt
  • Vorauflage: 978-0-07-179553-1

Themen

Autoren/Hrsg.

Autoren

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide

Preface
Chapter 1 Linear Coordinate Systems. Absolute Value. Inequalities.  Linear Coordinate System  Finite Intervals  Infinite Intervals  Inequalities  Solved Problems  Supplementary Problems
Chapter 2 Rectangular Coordinate Systems  Coordinate Axes  Coordinates  Quadrants  The Distance Formula  The Midpoint Formulas  Proofs of Geometric Theorems  Solved Problems  Supplementary Problems
Chapter 3 Lines  The Steepness of a Line  The Sign of the Slope  Slope and Steepness  Equations of Lines  A Point–Slope Equation  Slope–Intercept Equation  Parallel Lines  Perpendicular Lines  Solved Problems  Supplementary Problems
Chapter 4 Circles  Equations of Circles  The Standard Equation of a Circle  Solved Problems  Supplementary Problems
Chapter 5 Equations and Their Graphs  The Graph of an Equation  Parabolas  Ellipses  Hyperbolas  Conic Sections  Solved Problems  Supplementary Problems
Chapter 6 Functions  Solved Problems  Supplementary Problems
Chapter 7 Limits  Limit of a Function  Right and Left Limits  Theorems on Limits  Infinity  Solved Problems  Supplementary Problems
Chapter 8 Continuity  Continuous Function  Solved Problems  Supplementary Problems
Chapter 9 The Derivative  Delta Notation  The Derivative  Notation for Derivatives  Differentiability  Solved Problems  Supplementary Problems
Chapter 10 Rules for Differentiating Functions  Differentiation  Composite Functions. The Chain Rule.  Chain Rule  Alternative Formulation of the Chain Rule  Inverse Functions  Higher Derivatives  Solved Problems  Supplementary Problems
Chapter 11 Implicit Differentiation  Implicit Functions  Derivatives of Higher Order  Solved Problems  Supplementary Problems
Chapter 12 Tangent and Normal Lines  The Angles of Intersection  Solved Problems  Supplementary Problems
Chapter 13 Law of the Mean. Increasing and Decreasing Functions.  Relative Maximum and Minimum  Increasing and Decreasing Functions  Solved Problems  Supplementary Problems
Chapter 14 Maximum and Minimum Values  Critical Numbers  Second Derivative Test for Relative Extrema  First Derivative Test  Absolute Maximum and Minimum  Tabular Method for Finding the Absolute Maximum and Minimum  Solved Problems  Supplementary Problems
Chapter 15 Curve Sketching. Concavity. Symmetry.  Concavity  Points of Inflection  Vertical Asymptotes  Horizontal Asymptotes  Symmetry  Inverse Functions and Symmetry  Even and Odd Functions  Hints for Sketching the Graph G of y = f (x)  Solved Problems  Supplementary Problems
Chapter 16 Review of Trigonometry  Angle Measure  Directed Angles  Sine and Cosine Functions  Solved Problems  Supplementary Problems
Chapter 17 Differentiation of Trigonometric Functions  Continuity of cos x and sin x  Graph of sin x  Graph of cos x  Other Trigonometric Functions  Derivatives  Other Relationships  Graph of y = tan x  Graph of y = sec x  Angles Between Curves  Solved Problems  Supplementary Problems
Chapter 18 Inverse Trigonometric Functions  The Derivative of sin-1 x  The Inverse Cosine Function  The Inverse Tangent Function  Solved Problems  Supplementary Problems
Chapter 19 Rectilinear and Circular Motion  Rectilinear Motion  Motion Under the Influence of Gravity  Circular Motion  Solved Problems  Supplementary Problems
Chapter 20 Related Rates  Solved Problems  Supplementary Problems
Chapter 21 Differentials. Newton’s Method.  The Differential  Definition  Newton’s Method  Solved Problems  Supplementary Problems
Chapter 22 Antiderivatives  Laws for Antiderivatives  Solved Problems  Supplementary Problems
Chapter 23 The Definite Integral. Area Under a Curve.  Sigma Notation  Area Under a Curve  Properties of the Definite Integral  Solved Problems  Supplementary Problems
Chapter 24 The Fundamental Theorem of Calculus  Mean Value Theorem for Integrals  Average Value of a Function on a Closed Interval  Fundamental Theorem of Calculus  Change of Variable in a Definite Integral  Solved Problems  Supplementary Problems
Chapter 25 The Natural Logarithm  The Natural Logarithm  Definition  Properties of the Natural Logarithm  Solved Problems  Supplementary Problems
Chapter 26 Exponential and Logarithmic Functions  Definition  Properties of ex  The General Exponential Function  General Logarithmic Functions  Solved Problems  Supplementary Problems
Chapter 27 L’Hôpital’s Rule  L’Hôpital’s Rule  Indeterminate Type 0 · 8  Indeterminate Type 8 - 8  Indeterminate Types 00, 80, and 18  Solved Problems  Supplementary Problems
Chapter 28 Exponential Growth and Decay  Half-Life  Solved Problems  Supplementary Problems
Chapter 29 Applications of Integration I: Area and Arc Length  Area Between a Curve and the Y-Axis  Areas Between Curves  Arc Length  Solved Problems  Supplementary Problems
Chapter 30 Applications of Integration II: Volume  Disk Formula  Washer Method  Cylindrical Shell Method  Difference of Shells Formula  Cross-Section Formula (Slicing Formula)  Solved Problems  Supplementary Problems
Chapter 31 Techniques of Integration I: Integration by Parts  Solved Problems  Supplementary Problems
Chapter 32 Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions  Trigonometric Integrands  Trigonometric Substitutions  Solved Problems  Supplementary Problems
Chapter 33 Techniques of Integration III: Integration by Partial Fractions  Method of Partial Fractions  Solved Problems  Supplementary Problems
Chapter 34 Techniques of Integration IV: Miscellaneous Substitutions  Solved Problems  Supplementary Problems
Chapter 35 Improper Integrals  Infinite Limits of Integration  Discontinuities of the Integrand  Solved Problems  Supplementary Problems
Chapter 36 Applications of Integration III: Area of a Surface of Revolution  Solved Problems  Supplementary Problems
Chapter 37 Parametric Representation of Curves  Parametric Equations  Arc Length for a Parametric Curve  Solved Problems  Supplementary Problems
Chapter 38 Curvature  Derivative of Arc Length  Curvature  The Radius of Curvature  The Circle of Curvature  The Center of Curvature  The Evolute  Solved Problems  Supplementary Problems
Chapter 39 Plane Vectors  Scalars and Vectors  Sum and Difference of Two Vectors  Components of a Vector  Scalar Product (or Dot Product)  Scalar and Vector Projections  Differentiation of Vector Functions  Solved Problems  Supplementary Problems
Chapter 40 Curvilinear Motion  Velocity in Curvilinear Motion  Acceleration in Curvilinear Motion  Tangential and Normal Components of Acceleration  Solved Problems  Supplementary Problems
Chapter 41 Polar Coordinates  Polar and Rectangular Coordinates  Some Typical Polar Curves  Angle of Inclination  Points of Intersection  Angle of Intersection  The Derivative of the Arc Length  Curvature  Solved Problems  Supplementary Problems
Chapter 42 Infinite Sequences  Infinite Sequences  Limit of a Sequence  Monotonic Sequences  Solved Problems  Supplementary Problems
Chapter 43 Infinite Series  Geometric Series  Solved Problems  Supplementary Problems
Chapter 44 Series with Positive Terms. The Integral Test. Comparison Tests.  Series of Positive Terms  Solved Problems  Supplementary Problems
Chapter 45 Alternating Series. Absolute and Conditional Convergence. The Ratio Test.  Alternating Series  Definition  Solved Problems  Supplementary Problems
Chapter 46 Power Series  Power Series  Uniform Convergence  Solved Problems  Supplementary Problems
Chapter 47 Taylor and Maclaurin Series. Taylor’s Formula wi