Introduction to Linear Algebra
SAT Score Range
•
5 sessions
•
IS
MK
KL
+8
This series ended on September 4, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
Despite it's simple foundations, linear algebra is a subject taught to undergraduate students, typically after Calculus II. However, I have found linear algebra to be simple to learn and a powerful tool for mathematicians. In this series, we will explore the fundamentals of linear algebra, looking at vectors, matrices, linear transformations, and linear modeling. Students should have taken at least algebra II. Any knowledge regarding functions and matrices from precalculus will also be helpful.
Tutored by
Schedule
✋ ATTENDANCE POLICY
Attendance is not required, but please try to make every session, as topics can get confusing if you miss knowledge from previous sessions.
SESSION 1
20
Aug
SESSION 1
Orientation
Orientation
Sat 11:00 PM - Sun, 12:00 AM UTCAug 20, 11:00 PM - Aug 21, 12:00 AM UTC
Introduction, we will cover what linear algebra is, systems of equations, and Gauss-Jordan elimination.
SESSION 2
24
Aug
SESSION 2
Even More Math
Even More Math
Wed 12:00 AM - 1:00 AM UTCAug 24, 12:00 AM - 1:00 AM UTC
We will cover vectors, properties of matrices, the kernels and images of a matrix, and what makes a transformation linear.
SESSION 3
28
Aug
SESSION 3
Even More Math
Even More Math
Sun 12:00 AM - 1:00 AM UTCAug 28, 12:00 AM - 1:00 AM UTC
We will cover special vectors and matrices, including orthogonality, perpendicular subspaces, and projection matrices.
SESSION 4
31
Aug
SESSION 4
Even More Math
Even More Math
Wed 12:00 AM - 1:00 AM UTCAug 31, 12:00 AM - 1:00 AM UTC
We will take a look at different ways to represent real world problems in the math of linear algebra, including transition matrices, quadratic forms, and least square estimations.
SESSION 5
4
Sep
SESSION 5
Even More Math
Even More Math
Sun 12:00 AM - 1:00 AM UTCSep 4, 12:00 AM - 1:00 AM UTC
We will take a look at a special case with Fourier analysis, seeing how it is used in the real world and how we can do the math ourselves.