# Alignment: Schaum’s Outlines • Calculus • Sixth Edition

Use Nagwa in conjunction with your preferred textbook. The recommended lessons from Nagwa for each section of this textbook are provided below. This alignment is not affiliated with, sponsored by, or endorsed by the publisher of the referenced textbook. Nagwa is a registered trademark of Nagwa Limited. All other trademarks and registered trademarks are the property of their respective owners.

• 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