THIS IS A ONE-SEMESTER COURSE.

Please Note: Students are required to have taken Advanced Mathematical Concepts, Part 1 in order to take this course.

In this course, students will continue their journey through the fascinating world of number patterns. They will investigate numbers in great detail through the advanced concepts of addition, subtraction, multiplication, division, powers, and roots in bases other than 10. In addition, they will further their examination of primes, composites, remainders, fractions, decimals, and other mathematical phenomena. Notably, they will begin exploring the world of algebraic equations and expressions.

By the end of the course, students will have both an enhanced appreciation for numbers and a new and enlightened understanding of how numbers and number patterns work algebraically, which will help bring clarity to any mathematical operations they encounter in the future.

Class Meetings: Wednesdays, 1:00 p.m. Eastern Time
Dates: September 9 – December 16, 2026

Student Expectations: Students will be expected to arrive at the class meetings on time with their cameras turned on. In addition, they will be expected to complete an array of problems and exercises that will help them internalize what they are learning in the class meetings.

Student Support: The instructor is available via email. In addition, the instructor will remain online after class for those students who need extra help.

Feedback/Assessment: The instructor will provide feedback on student work and will help the students work through any mathematical questions they may have so that they gain a true understanding of the concepts.

Materials/Supplies: Students will need the books Introduction to Number Theory and Introduction to Number Theory Solutions Manual by Mathew Crawford, both of which they used in Advanced Mathematical Concepts, Part 1.

Prerequisites: Students are required to have taken Advanced Mathematical Concepts, Part 1 in order to take this course.