MATH221

An intensive development of the important concepts and methods of abstract mathematics. Students work individually, in groups, and with the instructor to prove theorems and solve problems. Students explore such topics as proof techniques, logic, set theory, equivalence relations, functions, and algebraic structures. Writing is a main focus, with emphasis on mathematical conventions, expectations, and presentation, including the use of LaTeX for typesetting symbols and formulas. The course provides exposure to what it means to be a mathematician.