Abstract Algebra Crash Course
Next session on Dec 11, 2023
We'll take a brief look at one of the first courses you will take in university if you would like to become a math major. We will begin with the fundamentals—learning some basic set theory, working with complex numbers, and setting the definitions of rings and fields. Then we'll prove some intuitive things that we know about number theory and modular arithmetic (i.e. working with remainders). From there we will generalize our methods to other areas, such as doing "number theory" and "modular arithmetic" with polynomials and much more! No calculus knowledge is necessary for this series; however, high-school Algebra 1 and Algebra 2 are necessary. (BTW do you know that this series would be called "Algebra 1" in university?? 😂😜)
I am taking abstract algebra in university right now and approaching the end of the course.
✋ ATTENDANCE POLICY
Come to each session; it will be very difficult to catch up otherwise.
November 21 - December 12
9 / 20
About the Tutor
Hi! I'm Kindness (aka Enci); I'm a college freshman for the 2023-24 school year, majoring in pure math. I love to share whatever I know, and when Schoolhouse offered me the opportunity, I jumped at it. In my free time, you can find me writing poems, playing the piano or violin, and scrapbooking.
Even More Math
We'll look at some basic results of rings and look at some examples. We'll also define a field and look at some examples. (Session date TBD)
Even More Math
We switch gears to the topic of basic number theory! This will be the springboard of more complicated stuff in the future. We'll begin the topic with divisibility and Bézout's lemma. If there is anything you should carry away from this session, be sure to carry away the logic of the proof for Bézout's lemma. (Session date TBD)