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MATH 2001 Transition to Advanced Mathematics 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. Corequisite: Mathematics *1206 DISCLAIMER The City University reserves the right, because of changing conditions, to make modifications of any nature in academic programs and requirements of the university and its constituent colleges without advanced notice. Students are advised to consult regularly with college and department counselors concerning their programs of study. Access the college's current and recent course bulletins.
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.
Corequisite: Mathematics *1206
The City University reserves the right, because of changing conditions, to make modifications of any nature in academic programs and requirements of the university and its constituent colleges without advanced notice. Students are advised to consult regularly with college and department counselors concerning their programs of study.
Access the college's current and recent course bulletins.
