Student Solutions Manual for Single Variable Calculus

10. Sequences and Infinite Series
    • 10.1 An Overview
    • 10.2 Sequences
    • 10.3 Infinite Series
    • 10.4 The Divergence and Integral Tests
    • 10.5 Comparison Tests
    • 10.6 Alternating Series
    • 10.7 The Ratio and Root Tests
    • 10.8 Choosing a Convergence Test
    • Review Exercises
11. Power Series
    • 11.1 Approximating Functions with Polynomials
    • 11.2 Properties of Power Series
    • 11.3 Taylor Series
    • 11.4 Working with Taylor Series
    • Review Exercises
12. Parametric and Polar Curves
    • 12.1 Parametric Equations
    • 12.2 Polar Coordinates
    • 12.3 Calculus in Polar Coordinates
    • 12.4 Conic Sections
    • Review Exercises
13. Vectors and the Geometry of Space
    • 13.1 Vectors in the Plane
    • 13.2 Vectors in Three Dimensions
    • 13.3 Dot Products
    • 13.4 Cross Products
    • 13.5 Lines and Planes in Space
    • 13.6 Cylinders and Quadric Surfaces
    • Review Exercises
14. Vector-Valued Functions
    • 14.1 Vector-Valued Functions
    • 14.2 Calculus of Vector-Valued Functions
    • 14.3 Motion in Space
    • 14.4 Length of Curves
    • 14.5 Curvature and Normal Vectors
    • Review Exercises
15. Functions of Several Variables
    • 15.1 Graphs and Level Curves
    • 15.2 Limits and Continuity
    • 15.3 Partial Derivatives
    • 15.4 The Chain Rule
    • 15.5 Directional Derivatives and the Gradient
    • 15.6 Tangent Planes and Linear Approximation
    • 15.7 Maximum/Minimum Problems
    • 15.8 Lagrange Multipliers
    • Review Exercises
16. Multiple Integration
    • 16.1 Double Integrals over Rectangular Regions
    • 16.2 Double Integrals over General Regions
    • 16.3 Double Integrals in Polar Coordinates
    • 16.4 Triple Integrals
    • 16.5 Triple Integrals in Cylindrical and Spherical Coordinates
    • 16.6 Integrals for Mass Calculations
    • 16.7 Change of Variables in Multiple Integrals
    • Review Exercises
17. Vector Calculus
    • 17.1 Vector Fields
    • 17.2 Line Integrals
    • 17.3 Conservative Vector Fields
    • 17.4 Green’s Theorem
    • 17.5 Divergence and Curl
    • 17.6 Surface Integrals
    • 17.7 Stokes’ Theorem
    • 17.8 Divergence Theorem
    • Review Exercises

• D2 Second-Order Differential Equations ONLINE
  • D2.1 Basic Ideas
  • D2.2 Linear Homogeneous Equations
  • D2.3 Linear Nonhomogeneous Equations
  • D2.4 Applications
  • D2.5 Complex Forcing Functions
  • Review Exercises

Appendices

• A. Proofs of Selected Theorems
• B. Algebra Review ONLINE
• C. Complex Numbers ONLINE

• Answers
• Index
• Table of Integrals