In this course we will learn how to read and write mathematical proofs. Along the way, we will encounter some of the fundamental objects and ideas upon which modern mathematics is built. Topics include logic, induction, divisibility, prime numbers, sets, functions, and cardinality.
Course Syllabus (Section 26965)
Course Syllabus (Section 26980)
Max Kutler, kutler.8(at)osu(dot)edu.
Office: Math Tower 756
Office hours: Monday, Thursday, Friday 10-11 am, and by appointment
The Fundamentals of Higher Mathematics by Neil Falkner, Spring 2023 edition (free pdf available on Canvas)
For purchase (hard copy): OSU Bookstore
There will be two homework assignments due each week. Homework assignments will be submitted at the beginning of class, typically on Mondays and Fridays.
Solutions must be written clearly, legibly, and with appropriate style. Among other things, this means your work should include proper grammar, punctuation, and spelling. I recommend using Guidelines for Good Mathematical Writing by Francis Su as a basic style guide.
You are encouraged to work with other students in the class on the homework, and it is appropriate to acknowledge the assistance of others. While it may be tempting to consult people or resources outside of the class, it will be best for your learning process to refrain from doing so. All solutions you submit must be your own.