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- Students will demonstrate the ability to formulate, interpret and draw inferences from mathematical models.
- Students will demonstrate competence with a wide variety of mathematical tools and techniques.
- Students will demonstrate the ability to assess the accuracy, implications and limitations of their mathematical results.
- Students will demonstrate a breadth of general mathematical knowledge as well as depth in at least one area.

- Students will demonstrate a breadth of knowledge in the associated field.
- Students will understand the interactions between mathematics and the associated field and demonstrate the ability to apply mathematical concepts and techniques in to problems in that field.