Math 455.1: Aims

The aims are:

  1. Learn computational skills of counting and other areas of discrete mathematics.
  2. Understand fundamental concepts about integers, graphs and trees, integers, finite sets, and other discrete structures.
  3. Improve ability to read mathematical exposition.
  4. Develop skills of reasoning about discrete structures, and of expressing that reasoning in writing.
  5. Become acquainted with various mathematical ideas that are useful in computer science, computer engineering, further mathematical study, and elsewhere.
  6. Engage in some (guided) mathematical exploration.
  7. Learn enough about Mathematica to use it effectively in dealing with discrete mathematics and to be able learn more about Mathematica.

Mathematica is used for three purposes: First, as a tool for doing numeric and symbolic calculations and forming graphical representations. Second, as a means for experimenting.  Third, as an aid in understanding key ideas and methods.

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