Binghamton University MATH
Problem solving is a part of mathematics organized around methods rather than theorems. For this reason it is somewhat amorphous, and difficult to study, but the ideas are applicable to almost any part of mathematics. For purposes of this class, there is a distinction between problems and exercises. An exercise is a question that tests mastery of a narrowly focused technique. In a problem, by contrast, the technique to be used is not immediately apparent. Problems are sometimes open-ended, poorly-defined, or even unsolvable. The objective of the course is to introduce students to a variety of mathematical knowledge and techniques useful for mathematical problem solving and not always covered in other courses. This course will be run partly in a seminar format; students will be expected to regularly present their own work to the class. Students will be expected to participate in the William Lowell Putnam Mathematical Competition (which is held on the first Saturday in December). Prerequisites: Math 330 or consent of instructor. Fall only.
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