Math 3345: Foundations of Higher Mathematics

Sections 14442 & 14444
Autumn 2021
Max Kutler

Overview

The main goal of this course is to 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 14442)

Course Syllabus (Section 14444)


Instructor

Max Kutler, kutler.8(at)osu(dot)edu.

Office hours: Monday, Wednesday, Thursday 2-3 pm, and by appointment


Textbook

The Fundamentals of Higher Mathematics by Neil Falkner, Autumn 2021 edition

For purchase: OSU Bookstore


Homework

There will be daily homework assignments.

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.