GL
RN
Rodrigo N
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Series Details
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 recommended a Successful Completion of AP® Calculus BC
why Prereq?
You don't use Calculus in this course, but understanding 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 (45-60 min)
2. Homework
*repeat above until unit is complete*
3. Problem Set for the Unit
4. Unit TEST
Here is the syllabus for the series:
Topics:
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
✋ ATTENDANCE POLICY
You are free to attend/skip whichever sessions you want but remember that the MORE practice/help you get, the MORE you will improve! NOTE: USE THE TUTOR CHAT to message me if you won't be here before the session starts!
Dates
February 4 - May 30
Learners
10 / 10
Total Sessions
22
About the Tutor
GL
RN
I am a high school student with a passion for STEM. I enjoy learning from my mistakes and hope to encourage that same idea with students from around the globe.
View Rodrigo N's Profile
Upcoming Sessions
22
4
Feb
OT
Session 1
Other Topics
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
5
Feb
OT
Session 2
Other Topics
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
OH
Session 3
Office Hours
If you have a question about anything Calc. related, please stop by and I will do my best to help! :D
This place, for Linear Algebra students, will serve as a place for review before our test next class
7
Feb
OT
Session 4
Other Topics
Matrices and Systems of Equations DAY 3
5. Write and solve a system of equations modeling real-world situations such as electric circuits or traffic flow
OH
Session 5
Office Hours
If you have a question about anything Calc. related, please stop by and I will do my best to help! :D
This place, for Linear Algebra students, will serve as a place for review before our test next class
11
Feb
R
Session 6
Review
This is intended as a Linear Algebra Review Session before our Assessment or in between topics
12
Feb
OT
Session 7
Other Topics
Matrices and Systems of Equations TEST (02/12)
~1.5 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)
14
Feb
OT
Session 8
Other Topics
Matrix Operations and Matrix Inverses DAY 1
1. Perform the operations of matrix-matrix addition, scalar-matrix multiplication, and matrix-matrix multiplication on real and complex-valued matrices
OH
Session 9
Office Hours
If you have a question about anything Calc. related, please stop by and I will do my best to help! :D
This place, for Linear Algebra students, will serve as a place for review before our test next class
18
Feb
OT
Session 10
Other Topics
Matrix Operations and Matrix Inverses DAY 2
2. State and prove the algebraic properties of matrix operations
3. Find the transpose of a real-valued matrix and the conjugate transpose of a complex-valued matrix
OH
Session 11
Office Hours
If you have a question about anything Calc. related, please stop by and I will do my best to help! :D
This place, for Linear Algebra students, will serve as a place for review before our test next class
19
Feb
OT
Session 12
Other Topics
Matrix Operations and Matrix Inverses DAY 3
4. Identify if a matrix is symmetric (real-valued)
5. Find the inverse of a matrix, if it exists, and know conditions for invertibility.
6. Use inverses to solve a linear system of equations
OH
Session 13
Office Hours
If you have a question about anything Calc. related, please stop by and I will do my best to help! :D
This place, for Linear Algebra students, will serve as a place for review before our test next class
21
Feb
R
Session 14
Review
This is intended as a Linear Algebra Review Session before our Assessment or in between topics
25
Feb
OT
Session 15
Other Topics
Matrix Operations and Matrix Inversess TEST (02/25)
~1.5 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)
26
Feb
OT
Session 16
Other Topics
Determinants DAY 1
1. Compute the determinant of a square matrix using cofactor expansion
2. State, prove, and apply determinant properties, including determinant of a product, inverse, transpose, and diagonal matrix
OH
Session 17
Office Hours
If you have a question about anything Calc. related, please stop by and I will do my best to help! :D
This place, for Linear Algebra students, will serve as a place for review before our test next class
28
Feb
OT
Session 18
Other Topics
Determinants DAY 2
3. Use the determinant to determine whether a matrix is singular or nonsingular
4. Use the determinant of a coefficient matrix to determine whether a system of equations has a unique solution
OH
Session 19
Office Hours
If you have a question about anything Calc. related, please stop by and I will do my best to help! :D
This place, for Linear Algebra students, will serve as a place for review before our test next class
4
Mar
R
Session 20
Review
This is intended as a Linear Algebra Review Session before our Assessment or in between topics
5
Mar
OT
Session 21
Other Topics
Determinants TEST (03/05)
~1.5 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)
PLACEHOLDER:
Norm, Inner Product, and Vector Spaces TEST (03/TBD)
~1.5 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)
Basis, Dimension, and Subspaces TEST (TBD/TBD)
~1.5 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)
Linear Transformations TEST (TBD/TBD)
~1.5 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)
Eigenvalues and Eigenvectors TEST (TBD/TBD)
~1.5 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)
30
May
OT
Session 22
Other Topics
FINAL EXAM (05/30)
~2 hours
-feedback
-will be curved if need be (if I do that, I will send you your raw scores and curved scores)