MATH *2001 Transition to Advanced Mathematics
(Prior to Fall 2010, this course was known as MATH 9.5.
The information below might still reflect the old course numbers. Bracketed numbers, if any, are the old course numbers. Learn more...)
3 hours; 3 credits
An introduction to mathematical proofs and a transition to advanced mathematics. Elements of mathematical language: basic set theory and logic. Direct proof, proof by contrapositive and proof by contradiction. Counterexample and disproof. Relations. Functions. Mathematical induction. Countable and uncountable sets. Proofs in elementary number theory. Development of the real numbers. Properties of the real number system: order, uncountability, completeness, least upper bound property, and the existence of the limits of Cauchy sequences.
Prerequisite: Mathematics *1206 [4.3] or 1211 [4.31].