Midlands State University Library
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Multivariable calculus : concepts and contexts 3 / created by James Stewart

By: Material type: TextTextPublisher: Thomson Brooks/Cole, 2005Copyright date: ©2005Description: (various pagings) : illustrations (some coloured) ; 27 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780534410049
Subject(s): LOC classification:
  • QA303 STE
Contents:
8. INFINITE SEQUENCES AND SERIES. Sequences. Series. The Integral and Comparison Tests; Estimating Sums. Other Convergence Tests. Power Series. Representation of Functions as Power Series. Taylor and Maclaurin Series. The Binomial Series. Applications of Taylor Polynomials. Review. Focus on Problem Solving. 9. VECTORS AND THE GEOMETRY OF SPACE. Three Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Equations of Lines and Planes. Functions and Surfaces. Cylindrical and Spherical Coordinates. Review. Focus on Problem Solving. 10. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space. Parametric Surfaces. Review. Focus on Problem Solving. 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Lagrange Multipliers. Review. Focus on Problem Solving. 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Interated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Triple Integrals in Cylindrical and Spherical Coordinates. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving. 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Surface Integrals. Stokes' Theorem. The Divergence Theorem. Summary. Review. Focus on Problem Solving. Appendix A: Intervals, Inequalities, And Absolute Values. Appendix B: Coordinate Geometry. Appendix C: Trigonometry. Appendix D: Precise Definitions Of Limits. Appendix E: A Few Proofs. Appendix F: Sigma Notation. Appendix G: Integration Of Rational Functions By Partial Fractions. Appendix H: Polar Coordinates. Appendix I: Complex Numbers. Appendix J: Answers To Odd-Numbered Exercises. Index.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
Book Book Main Library Open Shelf QA303 STE (Browse shelf(Opens below)) 160774 Available BK148405

Includes index


8. INFINITE SEQUENCES AND SERIES. Sequences. Series. The Integral and Comparison Tests; Estimating Sums. Other Convergence Tests. Power Series. Representation of Functions as Power Series. Taylor and Maclaurin Series. The Binomial Series. Applications of Taylor Polynomials. Review. Focus on Problem Solving. 9. VECTORS AND THE GEOMETRY OF SPACE. Three Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Equations of Lines and Planes. Functions and Surfaces. Cylindrical and Spherical Coordinates. Review. Focus on Problem Solving. 10. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space. Parametric Surfaces. Review. Focus on Problem Solving. 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Lagrange Multipliers. Review. Focus on Problem Solving. 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Interated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Triple Integrals in Cylindrical and Spherical Coordinates. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving. 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Surface Integrals. Stokes' Theorem. The Divergence Theorem. Summary. Review. Focus on Problem Solving. Appendix A: Intervals, Inequalities, And Absolute Values. Appendix B: Coordinate Geometry. Appendix C: Trigonometry. Appendix D: Precise Definitions Of Limits. Appendix E: A Few Proofs. Appendix F: Sigma Notation. Appendix G: Integration Of Rational Functions By Partial Fractions. Appendix H: Polar Coordinates. Appendix I: Complex Numbers. Appendix J: Answers To Odd-Numbered Exercises. Index.

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