Mathematics 221 - Trans Theoretical Math

This course is an introduction to proofs and abstract mathematical thinking, serving as a bridge from introductory classes such as calculus to more advanced proof-based classes. The principal goal of this class is to help students develop skills for both reading and writing mathematical proofs. Topics covered may include fundamentals of logic, quantifiers, proof techniques, mathematical induction, elementary set theory, equivalence relations, functions, and the notions of countability and uncountability. Some topics in analysis will also be surveyed, such as open and closed sets in the real line, sequences of real numbers, and limits of functions. Additional topics may vary from year to year.

Four class hours per week. No prerequisites. MATH 220 and 221 may not both be taken for credit. Limited to 25 students. Fall semester. Professor Alvarado.