Schaum’s Outline Series
Frank Ayres, Jr., PhD
Formerly Professor and Head of the Department of Mathematics Dickinson College
Elliott Mendelson, PhD
Professor of Mathematics Queens College
McGraw-Hill
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
