Knowledge of Discrete Mathematics

"Candidates apply the fundamental ideas of discrete mathematics in the formulation and solution of problems."

Reflection on the Standard:

One of the courses I have taken to fulfill this standard is Operations Research. This course covered the theory and applications of linear programming, nonlinear programming, continuous and discrete probability models, dynamic programming, and both the transportation and network flow models. In this course I gained a conceptual understanding of the basic elements of linear programming (meeting indicator 13.1), applied the fundamental ideas of discrete mathematics in the formulation and solution of problems arising from real-world situations (meeting indicator 13.2), used technological tools, especially the Simplex Engine and Maple, to solve problems involving the use of discrete mathematics and the application of algorithms (meeting indicator 13.3), and gained an understanding of the historical development of linear programming (meeting indicator 13.4).

Artifact:

To illustrate this standard, I have selected a project from Operations Research. In this project, two other group members and I used given data from a computer services firm to review the company’s current computer paper purchasing plan and to make recommendations on how to change this purchasing plan so that the average weekly cost associated with the purchase and storage of paper was minimized. Please click the artifact icon below to view this project:
OR.pdf

Explanation of Artifact in Relation to the Standard:

In this project, I applied the fundamental ideas of discrete mathematics in the formulation and solution of a real-world problem (meeting indicator 13.2) and used Maple to solve many problems that involved the use of discrete mathematics (meeting indicator 13.3).

Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3.0 License