Math 5335      Fall 2003 and Fall 2004
Text supplements

Last update: Tuesday, August 20, 2004

Materials to be posted here will include:

• A few writeups that explain how different parts of the text relate to one another.
• Explanations about some difficult points in the subject matter, and alternative ways of looking at certain proofs.
   

The following materials are now available:

• Chapter 1 supplements
  Topics include:
  1. Introduction   (Actually just a link to the Online course description)
  2. §1.4: Simple curves and their lengths
  3. §§1.4 and 1.5 About the integral used in the definition of angular measure
  4. §1.5: A concrete interpretation of angular measure
  5. [optional]   Angular measure: our definition compared with protractor measure
      
• Chapter 2 supplements
  Topics include:
  1. §2.2: angles with a given angular measure
  2. Preview of Chapter 3: another viewpoint about angular measure
  3. §2.4: the outward angles of a triangle
      
• Chapter 3 supplements
  Topics include:
  1. Heron's formula (Theorem 8 in §3.5)
  2. §3.4: Another proof of Theorem 6
  3. §3.7: The barycentric coordinates of the incenter
  4. §3.10: The inner product and the cosine
  5. §3.11: The cosine function, the inner product, and right angle trigonometry
  6. §3.11: About the law of cosines
      

Comments and questions to:  roberts@math.umn.edu

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