Students earning a degree in mathematics will:

• know the definitions of fundamental concepts and the major theorems of the core areas of undergraduate mathematics as outlined in course syllabi;

• be able to prove various propositions in the core areas of undergraduate mathematics and will appreciate the need for rigorous proof;

• be able to analyze and solve problems in the core areas of undergraduate mathematics; and

• have working knowledge of at least one mathematical "language" (beyond entry level) and its inherent tools, as well as an appreciation for both the utility and beauty of mathematics.?