Math 310: Real Analysis
Fall 2018

Office: Fowler 325
Email: gdaigle@oxy.edu

Office Hours:

Often in office:

Lecture:

Course Goals

In Math 310 we will learn to reason clearly and precisely about the underlying foundations of calculus. We will learn about the topology of the real numbers, then define metric spaces, which are the setting in which all limits and calculus make sense. We will then use this to study limits of sequences and functions, continuity, derivatives, series, and integrals.

During the course, students will learn to make precise and rigorous arguments about real numbers, and clearly write and communicate these arguments.

The course syllabus is available here.

Course Notes

Homework

Tests

References

There is no mandatory textbook for this course. I will post complete lecture notes and homework assignments on this page, and you do not need to purchase a textbook.

I will be using several textbooks as I prepare notes for this course.

There are a couple other books you may find it useful to reference from time to time, which are freely available online.