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College Linear Algebra Bootcamp

SAT Score Range

•

2 sessions

•

About

Hi Everyone!

Siddharth and Daniel here!

This 10 session long bootcamp aims to teach you college-level linear algebra, following MIT's Open Course Ware's Syllabus. Here's the link: https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/.

This bootcamp won't be too intensive, but at the same time will not be too laid back. We expect to meet twice every week, taking 90 minutes per session. Tentatively, we've scheduled to meet every Saturday and Sunday at 10:00 AM EDT. We will be sure to adjust the timings as per demand!

Linear Algebra is essential in reshaping your perspective of the world. You begin to view everything in a form of a vector, matrices, and linear transformations. Linear Algebra plays a fundamental role in understanding key concepts in machine learning and quantum mechanics. Be excited not only to learn more about matrices and vectors, but also about the different real world applications that these concepts can be seen in such as a neat derivation Fourier series - the pinnacle of signal processing - using nothing more than a dash of linear algebra and an elementary fact from a middle school geometry textbook! Enroll now to find out what that is!

Algebra 2 and pre-calculus are pre-requisites. While it is not necessary, it would be great if you have exposure to the basic ideas of calculus!

Expected Results:

1. Understanding and applying matrix computations and ideas, such as:
2. Solve Ax = b for square systems by elimination. (Including pivots, multipliers, back substitution and more.)
3. Abstract vector spaces, basis and dimension.
4. Orthogonalization by Gram-Schmidt, with the best approximation theorem - a crazy powerful result that allows one to come up with way better polynomial approximations to trig functions than a calculus based Taylor series approach.
5. Eigenvalues and eigenvectors.

Tutored by

Siddharth K 🇮🇳

Certified in 11 topics

View Profile

Hi! I'm a high school student in Maharashtra, India. I like exploring different areas of math (Algebraic Number Theory and Algebraic Geometry) and cycling in my free time! I'm really excited to learn with others here at Schoolhouse!

Daniel H 🇺🇸

Certified in 10 topics

View Profile

Hi! I'm Daniel, a junior high school student that lives in New York. I'm here to help people study for the SAT and perhaps learn a bit more about the SAT myself. My strengths for the SAT are definitely math as I've consistently scored 770+ on practice tests and on the actual SAT. Some of my hobbies are definitely gaming, programming, playing with my cat, working out (though I only started a few months ago), and solving puzzles.

Schedule

✋ ATTENDANCE POLICY

Please do not miss more that two sessions in a row. Always be sure to notify either one of us in advance if you're going to miss a session!

SESSION 1

23

Aug

SESSION 1

Other Topics

Other Topics

Sat 2:00 PM - 3:30 PM UTCAug 23, 2:00 PM - 3:30 PM UTC

We'll get started with the notion of a matrix, and its use in solving systems of linear equations. Next, we'll meet the matrix inverse, an essential tool to tackling these systems of equations, as well as the Gauss-Jordan elimination method, including terms like pivots and row-echelon form.

Lastly, we'll introduction the notion of a vector space - the home of all the vectors!
SESSION 2

24

Aug

SESSION 2

Other Topics

Other Topics

Sun 2:00 PM - 3:30 PM UTCAug 24, 2:00 PM - 3:30 PM UTC

We'll continue with our study of abstract vector spaces, unpacking the notion using concrete examples you're likely to be familiar with. We talk about concepts such as span, basis and dimension, allowing us to view matrices and matrix multiplication in a different way altogether.

Public Discussion

Please log in to see discussion on this series.

Aug 23 - Aug 24

1 week

90 mins

/ session

Next session on August 23, 2025

SCHEDULE

Saturday, Aug 23

2:00PM

Sunday, Aug 24

2:00PM