STEM Support
STEM Support
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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
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]
Degenerate Perturbation Theory - 1
Переглядів 6995 років тому
Degenerate Perturbation Theory - 1
Introduction to Perturbation Theory + First Order Corrections
Переглядів 1 тис.5 років тому
Introduction to Perturbation Theory First Order Corrections
Second Order Corrections
Переглядів 3265 років тому
Second Order Corrections

КОМЕНТАРІ

  • @CharlotteAgee-p8y
    @CharlotteAgee-p8y День тому

    Johnson Elizabeth Brown Betty Johnson Ruth

  • @thecactus1229
    @thecactus1229 10 днів тому

    just out of pure curiosity what year of school do they teach this in?

  • @janamfedaehadrii3833
    @janamfedaehadrii3833 10 днів тому

    I have a paper in the morning..this helped ❤

  • @bella-fv1ul
    @bella-fv1ul 13 днів тому

    Thank you so much this taught me more in 10 minutes than my math teacher in 3 hours

  • @diemilio
    @diemilio 16 днів тому

    Amazing. Great level of detail and super easy to follow. Thanks!

  • @samuelraphael9736
    @samuelraphael9736 24 дні тому

    You did not do it step by step but it was good

  • @aravindr4676
    @aravindr4676 24 дні тому

    Identity matrix is diagonalization, but doesn't have distinct eigen value. Any one explain it

  • @HsunaOperate
    @HsunaOperate Місяць тому

    You are the best

  • @yulcreates
    @yulcreates Місяць тому

    ur saving my life

  • @Kimtaehyung95.30
    @Kimtaehyung95.30 Місяць тому

    Thank you so much 😢

  • @user-hj9ty5jr1c
    @user-hj9ty5jr1c Місяць тому

    Wow what explanation

  • @AceBillions
    @AceBillions Місяць тому

    Nice explanation, thanks!

  • @apothe6
    @apothe6 Місяць тому

    these questions require creativity, and its so hard for me dang

  • @queenbreerobinson4354
    @queenbreerobinson4354 Місяць тому

    Can you PLEASE DO A VIDEO ON introduction to related rates with TWO EQUATIONS!? In calculus

  • @ERROR204.
    @ERROR204. Місяць тому

    Great video. Thanks for sharing

  • @archee2364
    @archee2364 Місяць тому

    Thank you

  • @zybfx6757
    @zybfx6757 Місяць тому

    For the second one i got -9/80, how come you times it by sec squared theta?

  • @dumiremia777
    @dumiremia777 Місяць тому

    you just know how to complicate things 🤣

  • @DavidIssanzu-v7e
    @DavidIssanzu-v7e 2 місяці тому

    8

  • @chessketeer
    @chessketeer 2 місяці тому

    Thank you, this is so clear.

  • @bjesuslovesme_
    @bjesuslovesme_ 2 місяці тому

    Thank you so much you made it easier for me

  • @harshsao7415
    @harshsao7415 2 місяці тому

    need more questions

  • @justgaming4336
    @justgaming4336 2 місяці тому

    Exam in 15 min

  • @Im_bjay
    @Im_bjay 2 місяці тому

    Are you teaching those who are Learning it for the first time or are you lecturing a pro😒.

  • @mason33838
    @mason33838 2 місяці тому

    Straight to the point. Wow. Thank you.

  • @dj2turnt278
    @dj2turnt278 2 місяці тому

    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.

    • @gagelee9570
      @gagelee9570 2 місяці тому

      It's only at one "curve" in the chart. Eventually it turns into another curve and so forth.

  • @ann5710
    @ann5710 2 місяці тому

    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

    • @ann5710
      @ann5710 2 місяці тому

      no bullshit and straight to the point

  • @xingyv5599
    @xingyv5599 2 місяці тому

    Isn't it that you can treat A(l) as a quadratic equation and found its maximum point directly without derivation?

  • @riotza7597
    @riotza7597 2 місяці тому

    THE GOAT

  • @sammyboiz
    @sammyboiz 2 місяці тому

    STEM Support more like life support

  • @sayanbaidya9724
    @sayanbaidya9724 2 місяці тому

    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

  • @chessketeer
    @chessketeer 2 місяці тому

    very clear, thank you!

  • @chessketeer
    @chessketeer 2 місяці тому

    This is unbelievable helpful. Thank you!

  • @zapnode
    @zapnode 2 місяці тому

    You worked the flashlight and runner problem using the tangent. Can you explain why this problem cannot be worked using sin(theta)?

  • @harx1241
    @harx1241 2 місяці тому

    Thanks dude.

  • @michael654
    @michael654 3 місяці тому

    Seriously one of the best math channels!

  • @alexanderrios7685
    @alexanderrios7685 3 місяці тому

    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.

  • @NEMESISTBSM
    @NEMESISTBSM 3 місяці тому

    W

  • @jimmyhumphrey8358
    @jimmyhumphrey8358 3 місяці тому

    YOUR CHEATING

  • @stepbystepscience
    @stepbystepscience 3 місяці тому

    Your definition at the beginning of the video was very good, most other sources make it way too complicated.

  • @viktorkhan8518
    @viktorkhan8518 3 місяці тому

    Very intuitive and well structured video! Thank you

  • @user-ly7fi6wm4j
    @user-ly7fi6wm4j 3 місяці тому

    In the third problem, since the first column is both 0 couldn't we just ignore it? Wouldn't that result in 1 solution?

  • @ashharkausar413
    @ashharkausar413 3 місяці тому

    Brilliant

  • @02_aldebaranrahmanadhitya95
    @02_aldebaranrahmanadhitya95 3 місяці тому

    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.

  • @thienphan1764
    @thienphan1764 3 місяці тому

    Really appreciate the videos, can't thank you enough 🙏🙏

  • @kiec213
    @kiec213 3 місяці тому

    omg this vid is awesome

  • @user-el8st3un6n
    @user-el8st3un6n 3 місяці тому

    dont you have to normalize in the end?

  • @babi9500
    @babi9500 3 місяці тому

    2:00 man after so many vids you're the only one who answered my question thanks sm

  • @02_aldebaranrahmanadhitya95
    @02_aldebaranrahmanadhitya95 3 місяці тому

    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!

  • @matusvrab8400
    @matusvrab8400 3 місяці тому

    Really nice and easy problem. Keep it up 👋🏼