Spaces, Mappings, and Mathematical Structures with an Introduction to Proof

Harvard Extension School

MATH E-101

Section 1

CRN 27200

View Course Details

The goal of this course is to introduce abstract mathematical thought and formal proof writing. We begin by introducing logic and proof strategies, with emphasis on proofs related to sets, relations, functions, and elementary number theory. Then, we study various mathematical structures (such as groups, metric spaces, and topological spaces) that arise in more formal study of various branches of mathematics (algebra, calculus, and topology).

Credits: 4

Term

Spring Term 2027

Part of Term

Full Term

Format

Live Attendance Web Conference

Credit Status

Graduate, Noncredit, Undergraduate

Section Status

Open

Instructor Info

John W. Cain, PhD

Senior Lecturer on Mathematics, Harvard University

Meeting Info

T 6:30pm - 8:30pm (1/25 - 5/15)

Participation Option: Online Synchronous

Deadlines

Last day to register:

Prerequisites

MATH E-15 or the equivalent.

Notes

This course meets via web conference. Students must attend and participate at the scheduled meeting time. See minimum technology requirements.

Tuition

All Sections of this Course

CRN	Section #	Participation Option(s)	Instructor	Section Status	Meets	Term Dates
35860	1	On Campus	John Cain	Open	MTWTh 8:30am - 11:00am	Jul 13 to Aug 6
27200	1	Online Synchronous	John Cain	Open	T 6:30pm - 8:30pm	Jan 25 to May 15