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Suggested Exercises for MATH 231

textbook: Rogawski, Adams, & Franzosa, “Calculus: Early Transcendentals”, 4th edition, (C) 2019 W. H. Freeman and Company

Chapter 12: Vectors and 3D Geometry

  • §12.1 - 3, 4, 5, 6, 7, 8, 21, 22, 23, 24, 25, 26, 39, 40, 41, 42, 56, 57, 58, 59, 60, 61
  • §12.2 - 5, 6, 7, 8, 24, 25, 26, 27, 33, 34, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 47, 48, 49, 50
  • §12.3 - 1, 2, 3, 4, 5, 6, 7, 8, 13, 14, 15, 16, 23, 24, 25, 26, 27, 28, 29, 30, 34, 37, 38, 39, 40, 55, 56, 57, 58, 59, 60, 67, 69
  • §12.4 - 9, 10, 11, 12, 13, 14, 19, 20, 21, 22, 26, 28, 40, 41, 42, 43, 44, 45, 50, 52
  • §12.5 - 1, 2, 3, 4, 5, 6, 7, 8, 13, 14, 15, 16, 17, 18, 19, 20, 33, 34, 35, 36, 37, 41, 42, 43, 44
  • §12.6 - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 43, 44, 45, 46

Chapter 13: Calculus of Vector-Valued Functions

  • §13.1 - 1, 2, 4, 5, 7, 8, 16, 37, 38, 45, 46, 48
  • §13.2 - 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 19, 20, 21, 22, 25, 41, 42, 43, 44, 45, 46, 47, 48
  • §13.3 - 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 32, 33, 34, 35, 36, 37
  • §13.4 - TBA
  • §13.5 - 9, 11, 12, 13, 14, 15, 16, 17, 18, 36, 37, 38, 39, 40, 41, 42, 43, 44

Chapter 14: Calculus of Multivariable Functions

  • §14.1 - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 40, 41, 42, 43, 44, 45, 51
  • §14.2 - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
  • §14.3 - 1, 4, 5, 6, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 60, 61, 62, 63, 64, 65, 66, 75, 76, 77, 78
  • §14.4 - 3, 4, 5, 6, 7, 8, 9, 10, 16, 18, 19, 20, 25, 26, 27, 28, 29, 30
  • §14.5 - 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 46, 47, 48
  • §14.6 - 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 21, 26, 27, 29, 30, 31, 32, 33, 34
  • §14.7 - 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 29, 30, 31, 32, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 54, 56, 57, 59
  • §14.8 - 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 21, 41, 42, 43, 44