# Alignment: Calculus • Early Transcendentals • Volume 2 • 3rd 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.

• 9 Introduction to Differential Equations
• 9.1 Solving Differential Equations
• 9.2 Models Involving 𝑦′ = 𝑘(𝑦 − 𝑏)
• 9.3 Graphical and Numerical Methods
• 9.4 The Logistic Equation
• 9.5 First-Order Linear Equations
• 10 Infinite Series
• 10.1 Sequences
• 10.2 Summing an Infinite Series
• 10.3 Convergence of Series with Positive Terms
• 10.4 Absolute and Conditional Convergence
• 10.5 The Ratio and Root Tests and Strategies for Choosing Tests
• 10.6 Power Series
• 10.7 Taylor Series
• 11 Parametric Equations, Polar Coordinates, and Conic Sections
• 11.1 Parametric Equations
• 11.2 Arc Length and Speed
• 11.3 Polar Coordinates
• 11.4 Area and Arc Length in Polar Coordinates
• 11.5 Conic Sections
• 12 Vector Geometry
• 12.1 Vectors in the Plane
• 12.2 Vectors in Three Dimensions
• 12.3 Dot Product and the Angle between Two Vectors
• 12.4 The Cross Product
• 12.5 Planes in 3-Space
• 12.6 A Survey of Quadric Surfaces
• 12.7 Cylindrical and Spherical Coordinates
• 13 Calculus of Vector-Valued Functions
• 13.1 Vector-Valued Functions
• 13.2 Calculus of Vector-Valued Functions
• 13.3 Arc Length and Speed
• 13.4 Curvature
• 13.5 Motion in 3-Space
• 13.6 Planetary Motion According to Kepler and Newton
• 14 Differentiation in Several Variables
• 14.1 Functions of Two or More Variables
• 14.2 Limits and Continuity in Several Variables
• 14.3 Partial Derivatives
• 14.4 Differentiability and Tangent Planes
• 14.5 The Gradient and Directional Derivatives
• 14.6 The Chain Rule
• 14.7 Optimization in Several Variables
• 14.8 Lagrange Multipliers: Optimizing with a Constraint
• 15 Multiple Integration
• 15.1 Integration in Two Variables
• 15.2 Double Integrals over More General Regions
• 15.3 Triple Integrals
• 15.4 Integration in Polar, Cylindrical, and Spherical Coordinates
• 15.5 Applications of Multiple Integrals
• 15.6 Change of Variables
• 16 Line and Surface Integrals
• 16.1 Vector Fields
• 16.2 Line Integrals
• 16.3 Conservative Vector Fields
• 16.4 Parametrized Surfaces and Surface Integrals
• 16.5 Surface Integrals of Vector Fields
• 17 Fundamental Theorems of Vector Analysis
• 17.1 Green’s Theorem
• 17.2 Stokes’ Theorem
• 17.3 Divergence Theorem