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A colloquium talk should consist of three parts of roughly equal length:

  1. An introduction understandable by any beginning graduate student in the department, both those in EE and in CS. This is where you state the motivation of the problem, and outline what you achieved. Not all epsilons and deltas needed here. No area-specific prior knowledge should be assumed.
  2. A middle part that is accessible to every grad student and faculty member in your discipline (EE or CS). Undergraduate background in that discipline can be assumed.
  3. A last part addressed to faculty members and advanced grad students in your subarea, providing additional details, highlighting important issues, explicating the significance of the material.