College of the Environment, Forestry, and Natural Sciences2021-2022

Department of Mathematics and Statistics

Mathematics, Master of Science

Learning Outcomes

Purpose Statement

The MS Mathematics degree program provides students the content knowledge, as well as abstract reasoning and communication skills, which constitute a broad foundation in graduate-level mathematics.  This foundation illuminates the inter-connection between different branches of mathematics and is the theoretical basis for validating and critically assessing the mathematical principles and methods necessary for continued studies in mathematics beyond the master’s degree or for work that graduates may perform in industry, education or government agencies.
 
Student Learning Outcomes

  • Graduates will demonstrate breadth and depth of knowledge in graduate-level mathematics.
    • Graduates will have acquired a broad theoretical knowledge in mathematics, particularly in the areas of Analysis, Linear Algebra, and Abstract Algebra, which are central to advanced studies in mathematics.
    • For the Comprehensive Examination option, graduates will demonstrate mastery in a focused and approved selection of three mathematical areas by successfully completing a comprehensive oral examination in these areas administered by a committee of the mathematics/statistics faculty.
    • For the Thesis option, graduates will demonstrate mastery in a focused area of mathematics and the ability to conduct independent inquiry by completing a substantial thesis in this area and defending it in front of a committee of the mathematics/statistics faculty.
  • Graduates will demonstrate the profound skills of logical mathematical reasoning which at the graduate level encompasses high degrees of abstraction and complexity.
    • Graduates will be able to read and synthesize complex formal mathematical arguments.
    • Graduates will be proficient in the independent writing of elegant proofs of significant length or complexity and in the skeptical assessment of the argumentation of others.
    • Graduates will be able to use acquired reasoning skills to read and interpret advanced mathematical literature (textbooks, journals, papers, etc.) to continue independent learning.
    • Graduates will have developed the creativity and intuition necessary for positing conjectures and deducing mathematical facts by applying established mathematical knowledge and reasoning in novel situations.
  • Graduates will communicate mathematics effectively in preparation for careers in the corporate sector, government agencies, or education or for continued graduate studies.
    • Graduates will be able to precisely communicate advanced mathematical principles and ideas with clarity and coherence, both written and verbally, demonstrating communication skills to be used in any future career.
    • Graduates will productively and creatively collaborate with peers or faculty to posit conjectures and work on mathematical problems of significant complexity demonstrating cooperative working skills to be used in any future career.

 


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