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Course Description

ONLINE: In this online lecture course, we focus on basic aspects of number theory. We first investigate integers and their structure, showing how the ideas of factoring and prime numbers develop, as well as how these concepts can be extended into the complex numbers. Next, we investigate the world of modular arithmetic and ways it can be applied in cryptography. Finally, we look at the analysis of binary quadratic equations using the visual technique of the topograph. Students will gain an understanding of both how mathematicians think and develop new ideas as well as how they present these ideas in polished form. They will gain an appreciation for number theory, often referred to as the queen of mathematics. This being a math class, the class lectures build from week to week, so students are expected to attend all sessions. Students are encouraged to try the optional problem sets provided after each lecture in order to exercise their understanding of the concepts presented. | Lecture
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Section Title
Number Theory: A Visual Introduction
Type
Online - Zoom
Days
Th
Time
11:00AM to 12:15PM
Dates
Jan 27, 2022 to Mar 31, 2022
Schedule and Location
Contact Hours
12.5
Delivery Options
Virtual Classroom  
Course Fees
Instructors
Section Notes

Class sessions are recorded.

Prerequisite: Some facility with high-school-level algebra and basic number skills are required. The textbook is highly recommended, since the course is based heavily on 10 of the 11 chapters. With its historical notes and many exercises, it is a useful supplement to the course for anyone wanting to delve further.

Recommended reading: Martin H. Weissman, An Illustrated Theory of Numbers (9781470463717)