Math 2240 Lecture Schedule (tentative)

Reading: Please take some time (at least 10 or 20 minutes) before each lecture to read the sections of the book which will be covered. It helps a great deal to be familiar with the terminology that will be used and the theorems that will be established.

  Date   Lecture Material
  Week 1  
    1/26/17   4.1: Riemann integration
  Week 2  
    1/31/17   4.2 (cf. 3.8): Center of gravity, Probability
    2/2/17   4.3: Integrability
  Week 3  
    2/7/17   4.4: Null and co-null sets
    2/9/17   4.5: Multiple integration (Fubini)
  Week 4  
    2/14/17   4.6: Numerical integration
    2/16/17   4.7,4.8: Non-dyadic pavings, Determinants
  Week 5  
    2/23/17   4.9: Determinant scales volume
  Week 6  
    2/28/17   4.10: Change of variables
    3/2/17   4.11: Lebesgue integration, part 1
  Week 7  
    3/7/17   Prelim 1
    3/9/17   Lebesgue integration, part 2
  Week 8  
    3/14/17   5.1/5.2: Parallelotopes and Parametrizations
    3/16/17   5.3: Volumes of manifolds
  Week 9  
    3/21/17   5.4: The Gauss map
    3/23/17   5.5: Snowflakes, Gaskets, and fractal dust
  Week 10  
    3/28/17   6.1: Alternating k-forms and wedges thereof
    3/30/17   6.2, 6.3: Orienting manifolds and integrating forms (part 1)
  Spring Break  
  Week 11  
    4/11/17  6.4: Integrating forms over manifolds
    4/13/17   6.5: Interpreting forms in vector calculus
  Week 12  
    4/18/17   6.6: Boundaries
    4/20/17   6.7: Exterior derivatives
  Week 13  
    4/25/17   6.8: Exterior derivatives in three-space (div, grad, curl)
    4/20/17   6.9: Pullbacks
  Week 14  
    5/2/17   6.10: STOKES!
    5/4/17   6.11: Classical versions of Stokes
  Week 15  
    5/9/17   6.12: Maxwell's laws (let there be light)

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Last Updated 2017-01-24