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STEM Support
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Приєднався 14 січ 2018
Optimization Practice | Maximize Area of Rectangle Bounded by Parabola [Calc 1]
mathgptpro.com/?pr=MAX24 - Try MathGPTPro for free or subscribe with a sweet 30% off!
Timestamps:
00:00 - Intro
00:34 - MathGPTPro Overview
01:33 - Problem Overview
01:59 - Step 1: Write down the goal
02:12 - Step 2: Draw a picture and define variables
05:14 - Step 3: Write function for what you're trying to optimize (in terms of ONE variable!)
06:26 - Step 4: Find critical points (and check if extraneous)
07:53 - Step 5: 1st / 2nd derivative test (see if you found a local max or min)
09:45 - Step 6: Answer the question
11:12 - Demo - MathGPTPro
Timestamps:
00:00 - Intro
00:34 - MathGPTPro Overview
01:33 - Problem Overview
01:59 - Step 1: Write down the goal
02:12 - Step 2: Draw a picture and define variables
05:14 - Step 3: Write function for what you're trying to optimize (in terms of ONE variable!)
06:26 - Step 4: Find critical points (and check if extraneous)
07:53 - Step 5: 1st / 2nd derivative test (see if you found a local max or min)
09:45 - Step 6: Answer the question
11:12 - Demo - MathGPTPro
Переглядів: 1 002
Відео
Logarithmic Differentiation? [Calc 1]
Переглядів 4836 місяців тому
mathgptpro.com/?pr=MAX24 - Try MathGPTPro for free or subscribe with a sweet 30% off!
How to Solve ANY Related Rates Problem [Calc 1]
Переглядів 29 тис.8 місяців тому
Related rates is my roman empire
Implicit Differentiation is a PIECE OF CAKE - Easy Medium and Hard Examples [Passing Calc 1]
Переглядів 2,5 тис.2 роки тому
Hoping this video can pull back the curtain on what is at bottom just normal differentiation with an extra step or two :) Watch 3blue1brown's video on this topic for a deeper understanding: ua-cam.com/video/qb40J4N1fa4/v-deo.html Easy example: 1:52 Medium example: 4:14 Hard example: 6:15
LINEAR QUADRATIC REGULAR (LQR) *MADE EASY*
Переглядів 7 тис.3 роки тому
In this video, we derive the optimal controller that solves the LQR problem in continuous time. The necessary conditions are derived and we solve the system using the solution to a Riccati differential equation.
Is this Function Even or Odd? A Simple Process [Passing Calc 1]
Переглядів 4583 роки тому
Symmetry about a point makes about as much sense to me as a screen door on a submarine
Linear Quadratic Regular (LQR) - Episode 2: Zero Input Cost & Lyapunov Equation
Переглядів 1,1 тис.3 роки тому
In this video, we review the state/co-state two-point boundary value problem (BVP) and discuss the boundary conditions for free and fixed final state problems. Then, we find the zero-input cost-to-go function, and derive the Lyapunov Equation for the kernel matrix. This sets the stage for the next video, where we solve the LQR problem and derive the Riccati equation. Next video - ua-cam.com/vid...
Linear Quadratic Regulator (LQR) - Episode 01: Introduction & Necessary Conditions
Переглядів 2,5 тис.3 роки тому
In this video, we introduce the LQR problem in optimal control and break it down to understand what is going on. We then derive the necessary conditions for an optimal controller to satisfy in the LQR problem, and derive the important Hamiltonian matrix equation. Second video - ua-cam.com/video/am8U3LE2rVw/v-deo.html
Georgia Tech Linear Algebra Midterm 3 Review Session | Diagonalization, Eigenvectors, Invertibility
Переглядів 4,5 тис.4 роки тому
Coronavirus meets diagonalizability... who u got?
Curve Sketching | Basically a Review of Calc 1 [Passing Calc 1]
Переглядів 2,3 тис.4 роки тому
Domain: 1:07 Symmetry: 3:09 Horizontal asymptotes: 7:01 Increasing/decreasing intervals: 11:05 Concave up/down intervals: 18:55 x/y intercepts: 23:46 Sketching: 25:37
Derivative of ln(x)^ln(x)?? [Passing Calc 1]
Переглядів 2834 роки тому
They don't teach you this ln(a^b) vs ln(a)^b stuff in skool
How to Solve ANY Optimization Problem [Calc 1]
Переглядів 548 тис.4 роки тому
Optimization problems are like men. They're all the same amirite? Same video but related rates: ua-cam.com/video/gBHIZlF0TX8/v-deo.html
A Geometric Proof of DeMorgan's Law
Переглядів 4,6 тис.5 років тому
DeMorgan's law is a statement from logic and set theory regarding the relationship between complements, unions, and intersections. It is used as a first principle in proofs and theorems in measure theory (sigma algebras), probability theory, and more. To make this video, I used manim, an open-source python library, made by 3Blue1Brown: github.com/3b1b/manim
How to Find Closest Point in a Subspace to a Vector [Passing Linear Algebra]
Переглядів 23 тис.5 років тому
Part b: 6:27
Least Squares Regression | Final Exam Problem [Passing Linear Algebra]
Переглядів 4 тис.5 років тому
TLDR summary: 10:47
Two Methods to Find Standard Matrix for Projection Onto a Line [Passing Linear Algebra]
Переглядів 22 тис.5 років тому
Two Methods to Find Standard Matrix for Projection Onto a Line [Passing Linear Algebra]
Standard Matrix of Projection Formula Derivation [Passing Linear Algebra]
Переглядів 11 тис.5 років тому
Standard Matrix of Projection Formula Derivation [Passing Linear Algebra]
Orthogonal Complements | How to Find a Basis for "W Perp" [Passing Linear Algebra]
Переглядів 77 тис.5 років тому
Orthogonal Complements | How to Find a Basis for "W Perp" [Passing Linear Algebra]
How to Find All Vectors Orthogonal to v and w [Passing Linear Algebra]
Переглядів 18 тис.5 років тому
How to Find All Vectors Orthogonal to v and w [Passing Linear Algebra]
Stochastic Matrices; Steady State Vector [Passing Linear Algebra]
Переглядів 15 тис.5 років тому
Stochastic Matrices; Steady State Vector [Passing Linear Algebra]
Invertible but NOT Diagonalizable (Plus all other combinations) [Passing Linear Algebra]
Переглядів 14 тис.5 років тому
Invertible but NOT Diagonalizable (Plus all other combinations) [Passing Linear Algebra]
True False - Eigenstuff, Diagonalization, Determinants [Passing Linear Algebra]
Переглядів 6 тис.5 років тому
True False - Eigenstuff, Diagonalization, Determinants [Passing Linear Algebra]
Finding a Matrix GIVEN it's Eigenspaces [Passing Linear Algebra]
Переглядів 6 тис.5 років тому
Finding a Matrix GIVEN it's Eigenspaces [Passing Linear Algebra]
Diagonalizing 3x3 Matrix - Full Process [Passing Linear Algebra]
Переглядів 133 тис.5 років тому
Diagonalizing 3x3 Matrix - Full Process [Passing Linear Algebra]
The 4 Ways to Tell if a Matrix is Diagonalizable [Passing Linear Algebra]
Переглядів 138 тис.5 років тому
The 4 Ways to Tell if a Matrix is Diagonalizable [Passing Linear Algebra]
DIRTY Shortcut to Find Geometric Multiplicity [Passing Linear Algebra]
Переглядів 14 тис.5 років тому
DIRTY Shortcut to Find Geometric Multiplicity [Passing Linear Algebra]
Complex Eigenvalues and Eigenvectors [Passing Linear Algebra]
Переглядів 21 тис.5 років тому
Complex Eigenvalues and Eigenvectors [Passing Linear Algebra]
Introduction to Perturbation Theory + First Order Corrections
Переглядів 1 тис.5 років тому
Introduction to Perturbation Theory First Order Corrections
Johnson Elizabeth Brown Betty Johnson Ruth
just out of pure curiosity what year of school do they teach this in?
I have a paper in the morning..this helped ❤
Thank you so much this taught me more in 10 minutes than my math teacher in 3 hours
Amazing. Great level of detail and super easy to follow. Thanks!
You did not do it step by step but it was good
Identity matrix is diagonalization, but doesn't have distinct eigen value. Any one explain it
You are the best
ur saving my life
Thank you so much 😢
Wow what explanation
Nice explanation, thanks!
these questions require creativity, and its so hard for me dang
Can you PLEASE DO A VIDEO ON introduction to related rates with TWO EQUATIONS!? In calculus
Great video. Thanks for sharing
Thank you
For the second one i got -9/80, how come you times it by sec squared theta?
you just know how to complicate things 🤣
8
Thank you, this is so clear.
Thank you so much you made it easier for me
need more questions
Exam in 15 min
Are you teaching those who are Learning it for the first time or are you lecturing a pro😒.
Straight to the point. Wow. Thank you.
This subject is hard for me because the word problems are not realistic. For example, how can 1 side of a ladder move faster than the other side. In the real world universe in which we all live in, how can a ladder increase its distance from a wall at 1ft/s while falling towards the ground at 3/4ft/s. The only way is to increase the length of the hypotenuse (ladder) which the derivative is not taking into account.
It's only at one "curve" in the chart. Eventually it turns into another curve and so forth.
bro i never write comments but I need to speedrun my LA exam and this is such a fucking good and quick revision of concepts you're a king
no bullshit and straight to the point
Isn't it that you can treat A(l) as a quadratic equation and found its maximum point directly without derivation?
THE GOAT
STEM Support more like life support
Isn't 2nd one case of existence of LD column and LD we can remove the last column and say that first 3 form basis over R³
very clear, thank you!
This is unbelievable helpful. Thank you!
You worked the flashlight and runner problem using the tangent. Can you explain why this problem cannot be worked using sin(theta)?
Thanks dude.
Seriously one of the best math channels!
Thabks xd, I haven't taken the class but my gf is at the moment and this just made it so simply and covered everything I was missing in my notes xd.
W
YOUR CHEATING
Your definition at the beginning of the video was very good, most other sources make it way too complicated.
Very intuitive and well structured video! Thank you
In the third problem, since the first column is both 0 couldn't we just ignore it? Wouldn't that result in 1 solution?
Brilliant
Just in case anyone needs an explanation (please correct me if I am wrong): For question 3: - "empty" means that the solution set is no solution (i.e., the solution set does not have any solution) - b is a nonzero vector. I think what STEM Support was trying to explain is that because the x vector can be the zero vector, then it cannot be the case that b is a nonzero vector. But because b is a nonzero vector, then the statement must be false. Note: I am still trying to understand and make sense of what STEM Support explained and this is the one which I understand the most.
Really appreciate the videos, can't thank you enough 🙏🙏
omg this vid is awesome
dont you have to normalize in the end?
2:00 man after so many vids you're the only one who answered my question thanks sm
Is it possible to define two vectors which are linearly dependant as one vector being a multiple of the other? Edit 1: I have just realised that STEM Support mentioned that very fact a few seconds after I posted this comment. Thank you, STEM Support!
Really nice and easy problem. Keep it up 👋🏼