To develop skills needed in order to read, write, recognize and appreciate a (good) mathematical proof. The corresponding assessment will be based on student performance on the two in-class exams, the final exam, and select homework assignments.
To develop fluency in using basic logic and set theory, including the language of functions and relations. The extent to which this goal is achieved will be determined by student performance on the second in-class exam, the final exam, and select homework assignments.
To gain familiarity with certain areas of mathematics which could be labeled as being “discrete”: combinatorics, number theory, graph theory. The extent to which this goal is achieved will be assessed by means of the first in-class exam, the final exam, the graph theory quiz, and select homework assignments.
To situate the practice of mathematics within its larger intellectual and social context. Specifically, this course will challenge a student to form a point of view on philosophical issues having to do with foundations of mathematics as a whole. The corresponding assessment will rely on student essays at the end of the semester.
Note: The ratio 3:3:3:1 summarizes the relative importance of the four educational goals of this particular course.