Statistics Learning Outcomes (Major in Statistics, B.S. in Mathematical Sciences):
Study Design: Graduates can critically evaluate the strengths and weaknesses of study designs and can select a study design that is appropriate for addressing a specific research question.
Data Analysis: Graduates can use statistical reasoning, formulate a problem in statistical terms, perform exploratory analysis of data by graphical and other means, and carry out a variety of formal inference procedures.
Theory: Graduates should be able to describe important theoretical results and understand how they can be applied to answer statistical questions.
Computing: Graduates should be able to use standard statistical software packages for data management and analysis and should be able to solve algorithmic problems.
Communication: Statistics is an interdisciplinary science and therefore strong communication skills are necessary to be an effective statistician. Graduates should be able to interpret and communicate the results of a statistical analysis through oral and written reports. Graduates also should have developed teamwork and organizing skills.
Mathematics Curricular Themes
Mathematics and statistics permeate modern life. The study of these subjects leads to the acquisition of new knowledge, new skills and a new language for communication. Below we outline the general curricular themes we see as common to all of our programs. Precise learning outcomes that are consistent with these themes and that are feasible to evaluate have been incorporated into our departmental learning outcomes.
Universality: We hope to impart an appreciation for the power, beauty and breadth of mathematics and statistics. On one extreme, theoretical mathematics and statistics are beautiful subjects that require strong skills in critical and abstract thinking. The simple abstract concepts that arise in these subjects, such as a vector or a rate of change, have been applied to the immeasurable benefit of society in all areas of human endeavors. These applied areas serve to motivate and inspire new theoretical research.
Communication: Effective communication is an essential skill in all parts of life, from the person to the professional and from the humanities to the sciences. Practicing precision and clarity in effective mathematical communication, both verbally and visually, is excellent training for oral and written communications in all fields.
Problem solving: Solving a problem, whether in mathematics and statistics or elsewhere, requires a clear delineation of the problem, requisite knowledge, relevant skills and creativity.
Computational skills: Computing, grounded in paper-and-pencil work, runs the gamut from order-of-magnitude estimates in one’s head to the ability to use a computer to provide insight into a problem. These skills are especially important in those disciplines more directed toward modeling.
Mathematics Learning Outcomes (Major in Mathematics, B.S. in Mathematical Sciences):
Writing: Graduates should be able to write clearly and precisely about quantitative topics.
Computing: Graduates should be able to perform college-level mathematical computations on a computer.
Construction: Graduates should be able to construct a logically rigorous proof as well as to recognize flaws in a poorly constructed proof.
Concepts: Students graduating with a B.S. in Mathematics should also demonstrate an understanding of the core concepts from analysis and abstract algebra. (Specifically, students should demonstrate an understanding of continuity, convergence, metrics and limits from analysis as well as the basic structure of groups, rings and fields from algebra.)