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Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12

Exercises for Chapter 3

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Downloadable documents containing the exercises and the solutions are provided in either MS Word's .doc format or Adobe Acrobat's .pdf format. Data is provided as text.

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Exercise:
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concepts from chapter 3
  These exercises explore concepts from Chapter 3 including the parametric representation of curves in 3-dimensional space, and the tangent vector, curvature vector, scalar curvature and torsion for such curves. For surfaces in 3-dimensional space the exercises cover the unit normal vector, the coefficients of the first and second fundamental forms, and the normal curvature.
 
Solutions:
   
differential geometry of Wytch Farm faults
  Data is provided on eleven fault surfaces imaged in a 3D reflection seismic survey for the Wytch Farm oil field in southern England. The objectives of this exercise are to quantify the surface and tipline shapes of these faults using the concepts and tools of differential geometry and to make inferences about the mechanical behavior of the faults.
 
   
differential geometry of the Emigrant Gap anticline
  GPS location data are provided for the top of the A1 sandstone on a doubly plunging fold near Casper, Wyoming. The objectives of this exercise are to quantify the shape of the surface of this sandstone unit using the concepts and tools of differential geometry and to make inferences about the mechanical behavior of folded strata.