Jumat, 19 September 2008

Vectors, Matrices and Motion



OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.


Textbook Components

  • Table of Contents (PDF)
  • Answers to Odd-Numbered Problems (PDF)
  • Equations (PDF)

11: Vectors and Matrices, pp. 398-445

11.1 Vectors and Dot Products, pp. 398-406
11.2 Planes and Projections, pp. 407-415
11.3 Cross Products and Determinants, pp. 416-424
11.4 Matrices and Linear Equations, pp. 425-434
11.5 Linear Algebra in Three Dimensions, pp. 435-445

Chapter 11 - complete (PDF - 4.0 MB)

Chapter 11 - sections:

11.1 - 11.3 (PDF - 2.5 MB)
11.4 - 11.5 (PDF - 1.7 MB)
12: Motion along a Curve, pp. 446-471

12.1 The Position Vector, pp. 446-452
12.2 Plane Motion: Projectiles and Cycloids, pp. 453-458
12.3 Tangent Vector and Normal Vector, pp. 459-463
12.4 Polar Coordinates and Planetary Motion, pp. 464-471

Chapter 12 - complete (PDF - 2.2 MB)

Chapter 12 - sections:

12.1 - 12.2 (PDF - 1.2 MB)
12.3 - 12.4 (PDF - 1.1 MB)


Sumber:

MIT OCW

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