MULTIVARIABLE CALCULUS /

Capítulo 9 – Sequences and Series (p. 475)

9.1 Sequences – 476
9.2 Monotonic Sequences – 485
9.3 Series – 490
9.4 Integral Test – 501
9.5 Comparison Tests – 504
9.6 Ratio and Root Tests – 509
9.7 Alternating Series – 512
9.8 Power Series – 519
9.9 Representing Functions by Power Series – 523
9.10 Taylor Series – 529
9.11 Binomial Series – 540
Chapter 9 in Review – 544

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Capítulo 10 – Conics and Polar Coordinates (p. 547)

10.1 Conic Sections – 548
10.2 Parametric Equations – 560
10.3 Calculus and Parametric Equations – 568
10.4 Polar Coordinate System – 573
10.5 Graphs of Polar Equations – 576
10.6 Calculus in Polar Coordinates – 585
10.7 Conic Sections in Polar Coordinates – 592
Chapter 10 in Review – 597

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Capítulo 11 – Vectors and 3-Space (p. 601)

11.1 Vectors in 2-Space – 602
11.2 3-Space and Vectors – 608
11.3 Dot Product – 614
11.4 Cross Product – 622
11.5 Lines in 3-Space – 629
11.6 Planes – 634
11.7 Cylinders and Spheres – 640
11.8 Quadric Surfaces – 643
Chapter 11 in Review – 650

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Capítulo 12 – Vector-Valued Functions (p. 655)

12.1 Vector Functions – 656
12.2 Calculus of Vector Functions – 661
12.3 Motion on a Curve – 668
12.4 Curvature and Acceleration – 673
Chapter 12 in Review – 679

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Capítulo 13 – Partial Derivatives (p. 681)

13.1 Functions of Several Variables – 682
13.2 Limits and Continuity – 688
13.3 Partial Derivatives – 695
13.4 Linearization and Differentials – 703
13.5 Chain Rule – 711
13.6 Directional Derivative – 718
13.7 Tangent Planes and Normal Lines – 724
13.8 Extrema of Multivariable Functions – 728
13.9 Method of Least Squares – 735
13.10 Lagrange Multipliers – 737
Chapter 13 in Review – 744

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Capítulo 14 – Multiple Integrals (p. 749)

14.1 The Double Integral – 750
14.2 Iterated Integrals – 753
14.3 Evaluation of Double Integrals – 757
14.4 Center of Mass and Moments – 764
14.5 Double Integrals in Polar Coordinates – 768
14.6 Surface Area – 773
14.7 The Triple Integral – 776
14.8 Triple Integrals in Other Coordinate Systems – 783
14.9 Change of Variables in Multiple Integrals – 790
Chapter 14 in Review – 796

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Capítulo 15 – Vector Integral Calculus (p. 801)

15.1 Line Integrals – 802
15.2 Line Integrals of Vector Fields – 808
15.3 Independence of the Path – 815
15.4 Green’s Theorem – 824
15.5 Parametric Surfaces and Area – 830
15.6 Surface Integrals – 839
15.7 Curl and Divergence – 845
15.8 Stokes’ Theorem – 851
15.9 Divergence Theorem – 856
Chapter 15 in Review – 863

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Capítulo 16 – Higher-Order Differential Equations (p. 867)

16.1 Exact First-Order Equations – 868
16.2 Homogenous Linear Equations – 872
16.3 Nonhomogenous Linear Equations – 878
16.4 Mathematical Models – 883
16.5 Power Series Solutions – 891
Chapter 16 in Review – 895

Appropriate for the third semester in the college calculus sequence, the Fourth Edition of Multivariable Calculus maintains the student-friendly writing style and robust exercises and problem sets that Dennis Zill is famous for. Ideal as a follow-up companion to Zill's first volume, or as a stand-alone text, this exceptional revision presents the topics typically covered in the traditional third course, including Vector-Valued Functions, Differential Calculus of Functions of Several Variables, Integral Calculus of Functions of Several Variables, Vector Integral Calculus, and an Introduction to Differential Equations.

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