Linear Algebra
SAT Score Range
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4 sessions
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RR
MT
GW
+13
This series was cancelled on February 21, 2025. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
I am back to host another wonderful series: LINEAR ALGEBRA! I hope you all can join!

This series will cover the content of a semester of college Linear Algebra and is traditionally taken after Calculus

PREREQ:
Pre-Calculus (Surprising, right?) . . . but I STRONGLY recommend a successful completion of AP® Calculus BC

why the Prereq?
You don't use Calculus in this course, but understanding vectors and matrices well will get you ahead. The only part in AP® Calculus BC useful for this is the vectors unit, so please review that on your own because we will do a quick recap of the basics of vectors and matrices when this series begins!

STRUCTURE:
1. Lecture (60-90 min)
2. Optional Homework
*repeat above until unit is complete*
3. Problem Set for the Unit
4. Unit TEST


Here is the syllabus for the series:
1. Matrices and Systems of Equations
2. Matrix Operations and Matrix Inverses
3. Determinants
4. Norm, Inner Product, and Vector Spaces
5. Basis, Dimension, and Subspaces
6. Linear Transformations
7. Eigenvalues and Eigenvectors
Tutored by
Schedule
✋ ATTENDANCE POLICY
USE THE TUTOR CHAT to message me if you won't be here BEFORE the session starts (this counts as an excused absence!)
IF YOU EXCEED 3 CONSECUTIVE UNEXCUSED ABSENCES, you will, unfortunately, be removed from the series
SESSION 1
7
Feb
SESSION 1
Other Topics
Other Topics
Fri 9:30 PM - 10:30 PM UTCFeb 7, 9:30 PM - 10:30 PM UTC
Matrices and Systems of Equations DAY 1
1. Use correct matrix terminology to describes various types and features of matrices (triangular, symmetric, row echelon form, et.al.)
2. Use Gauss-Jordan elimination to transform a matrix into reduced row echelon form
SESSION 2
11
Feb
SESSION 2
Other Topics
Other Topics
Tue 9:30 PM - 10:30 PM UTCFeb 11, 9:30 PM - 10:30 PM UTC
Matrices and Systems of Equations DAY 2
3. Determine conditions such that a given system of equations will have no solution, exactly one solution, or infinitely many solutions
4. Write the solution set for a system of linear equations by interpreting the reduced row echelon form of the augmented matrix, including expressing infinitely many solutions in terms of free parameters
SESSION 3
14
Feb
SESSION 3
Other Topics
Other Topics
Fri 9:30 PM - 10:30 PM UTCFeb 14, 9:30 PM - 10:30 PM UTC

Matrices and Systems of Equations DAY 2-3
3. Determine conditions such that a given system of equations will have no solution, exactly one solution, or infinitely many solutions
4. Write the solution set for a system of linear equations by interpreting the reduced row echelon form of the augmented matrix, including expressing infinitely many solutions in terms of free parameters
5. Write and solve a system of equations modeling real-world situations such as electric circuits or traffic flow
SESSION 4
18
Feb
SESSION 4
Review
Review
Tue 9:30 PM - 10:15 PM UTCFeb 18, 9:30 PM - 10:15 PM UTC
This is intended as a Linear Algebra Review Session before our Assessment or in between topics