MATH 30800-C: Bridge to Advanced Mathematics

Instructor: Benjamin Steinberg

Lectures: M-W 11:00-12:15 NAC 6/111

Office: MR 306

Phone: (212) 650-5482 (but email is preferred!)

Email: bsteinberg@ccny.cuny.edu

Office Hours: Thu 1-2 on ZOOM.

Textbooks:

Material to be covered (tentative)

Chatrand et al., Chapters 1-11 and Ross, Chapter 1. This course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include set theory, logic, mathematical induction, relations and orders, functions, Cantor’s theory of countability, and development of the real number system.

Grading

Exam Information

Midterms will be administered in class during class time. The final exam will be scheduled by the university during the exam period.

In general there will be no makeups. At the department's or the instructor's discretion, any makeup exam, including a makeup final, may be administered as an oral examination carried out either in-person or using video-conferencing software (such as Zoom).

No calculators, books, or notes are permitted on any exam. You are required to bring a photo ID.

Homework

Weekly (approximately) problem sets will be posted on the course webpage on Blackboard. 2-3 problems per set will be graded (you will not be told in advance which ones), as well as completeness, but it is recommended that you attempt all problems in order to succeed at the course. You may work with other students, but you should indicate who you worked with on which problems. You should write your final solutions yourself. Any outside sources (e.g., the internet) should be properly cited. The 2 lowest homework scores will be dropped. No late homework will be accepted.

Academic Integrity

All work submitted for this course should be your own unless explicitly stated or acknowledged by you. You are expected to adhere to the CUNY Policy on academic integrity. Violations will be pursued through the appropriate campus mechanisms.

Examples of violations include using online discussion boards, email or messaging apps during quizzes and exams, using online "tutoring" sites or online mathematical software during quizzes and exams.