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
zhlédnutí: 929

Video

Logarithmic Differentiation? [Calc 1]
zhlédnutí 449Před 5 měsíci
mathgptpro.com/?pr=MAX24 - Try MathGPTPro for free or subscribe with a sweet 30% off!
How to Solve ANY Related Rates Problem [Calc 1]
zhlédnutí 28KPřed 7 měsíci
Related rates is my roman empire
Implicit Differentiation is a PIECE OF CAKE - Easy Medium and Hard Examples [Passing Calc 1]
zhlédnutí 2,5KPřed 2 lety
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: czcams.com/video/qb40J4N1fa4/video.html Easy example: 1:52 Medium example: 4:14 Hard example: 6:15
LINEAR QUADRATIC REGULAR (LQR) *MADE EASY*
zhlédnutí 7KPřed 3 lety
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]
zhlédnutí 444Před 3 lety
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
zhlédnutí 1,1KPřed 3 lety
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 - czcams.com/vid...
Linear Quadratic Regulator (LQR) - Episode 01: Introduction & Necessary Conditions
zhlédnutí 2,5KPřed 3 lety
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 - czcams.com/video/am8U3LE2rVw/video.html
Georgia Tech Linear Algebra Midterm 3 Review Session | Diagonalization, Eigenvectors, Invertibility
zhlédnutí 4,5KPřed 4 lety
Coronavirus meets diagonalizability... who u got?
Curve Sketching | Basically a Review of Calc 1 [Passing Calc 1]
zhlédnutí 2,3KPřed 4 lety
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]
zhlédnutí 276Před 4 lety
They don't teach you this ln(a^b) vs ln(a)^b stuff in skool
How to Solve ANY Optimization Problem [Calc 1]
zhlédnutí 544KPřed 4 lety
Optimization problems are like men. They're all the same amirite? Same video but related rates: czcams.com/video/gBHIZlF0TX8/video.html
A Geometric Proof of DeMorgan's Law
zhlédnutí 4,5KPřed 4 lety
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
Two Methods to Find Standard Matrix for Projection Onto a Line [Passing Linear Algebra]
zhlédnutí 21KPřed 5 lety
Two Methods to Find Standard Matrix for Projection Onto a Line [Passing Linear Algebra]
Standard Matrix of Projection Formula Derivation [Passing Linear Algebra]
zhlédnutí 11KPřed 5 lety
Standard Matrix of Projection Formula Derivation [Passing Linear Algebra]
Orthogonal Complements | How to Find a Basis for "W Perp" [Passing Linear Algebra]
zhlédnutí 76KPřed 5 lety
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]
zhlédnutí 17KPřed 5 lety
How to Find All Vectors Orthogonal to v and w [Passing Linear Algebra]
Stochastic Matrices; Steady State Vector [Passing Linear Algebra]
zhlédnutí 15KPřed 5 lety
Stochastic Matrices; Steady State Vector [Passing Linear Algebra]
Invertible but NOT Diagonalizable (Plus all other combinations) [Passing Linear Algebra]
zhlédnutí 13KPřed 5 lety
Invertible but NOT Diagonalizable (Plus all other combinations) [Passing Linear Algebra]
True False - Eigenstuff, Diagonalization, Determinants [Passing Linear Algebra]
zhlédnutí 6KPřed 5 lety
True False - Eigenstuff, Diagonalization, Determinants [Passing Linear Algebra]
Finding a Matrix GIVEN it's Eigenspaces [Passing Linear Algebra]
zhlédnutí 6KPřed 5 lety
Finding a Matrix GIVEN it's Eigenspaces [Passing Linear Algebra]
Diagonalizing 3x3 Matrix - Full Process [Passing Linear Algebra]
zhlédnutí 132KPřed 5 lety
Diagonalizing 3x3 Matrix - Full Process [Passing Linear Algebra]
The 4 Ways to Tell if a Matrix is Diagonalizable [Passing Linear Algebra]
zhlédnutí 137KPřed 5 lety
The 4 Ways to Tell if a Matrix is Diagonalizable [Passing Linear Algebra]
DIRTY Shortcut to Find Geometric Multiplicity [Passing Linear Algebra]
zhlédnutí 14KPřed 5 lety
DIRTY Shortcut to Find Geometric Multiplicity [Passing Linear Algebra]
Complex Eigenvalues and Eigenvectors [Passing Linear Algebra]
zhlédnutí 20KPřed 5 lety
Complex Eigenvalues and Eigenvectors [Passing Linear Algebra]
Degenerate Perturbation Theory - 1
zhlédnutí 699Před 5 lety
Degenerate Perturbation Theory - 1
Introduction to Perturbation Theory + First Order Corrections
zhlédnutí 1KPřed 5 lety
Introduction to Perturbation Theory First Order Corrections
Second Order Corrections
zhlédnutí 322Před 5 lety
Second Order Corrections

Komentáře

  • @HsunaOperate
    @HsunaOperate Před 13 hodinami

    You are the best

  • @yulcreates
    @yulcreates Před 2 dny

    ur saving my life

  • @Kimtaehyung95.30
    @Kimtaehyung95.30 Před 2 dny

    Thank you so much 😢

  • @user-hj9ty5jr1c
    @user-hj9ty5jr1c Před 5 dny

    Wow what explanation

  • @AceBillions
    @AceBillions Před 7 dny

    Nice explanation, thanks!

  • @apothe6
    @apothe6 Před 16 dny

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

  • @queenbreerobinson4354

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

  • @ERROR204.
    @ERROR204. Před 24 dny

    Great video. Thanks for sharing

  • @archee2364
    @archee2364 Před 24 dny

    Thank you

  • @zybfx6757
    @zybfx6757 Před 26 dny

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

  • @dumiremia777
    @dumiremia777 Před 27 dny

    you just know how to complicate things 🤣

  • @DavidIssanzu-v7e
    @DavidIssanzu-v7e Před 28 dny

    8

  • @chessketeer
    @chessketeer Před měsícem

    Thank you, this is so clear.

  • @bjesuslovesme_
    @bjesuslovesme_ Před měsícem

    Thank you so much you made it easier for me

  • @harshsao7415
    @harshsao7415 Před měsícem

    need more questions

  • @justgaming4336
    @justgaming4336 Před měsícem

    Exam in 15 min

  • @amb.jworld3127
    @amb.jworld3127 Před měsícem

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

  • @mason33838
    @mason33838 Před měsícem

    Straight to the point. Wow. Thank you.

  • @dj2turnt278
    @dj2turnt278 Před měsícem

    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 Před měsícem

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

  • @ann5710
    @ann5710 Před měsícem

    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 Před měsícem

      no bullshit and straight to the point

  • @xingyv5599
    @xingyv5599 Před měsícem

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

  • @riotza7597
    @riotza7597 Před měsícem

    THE GOAT

  • @sammyboiz
    @sammyboiz Před měsícem

    STEM Support more like life support

  • @sayanbaidya9724
    @sayanbaidya9724 Před měsícem

    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 Před měsícem

    very clear, thank you!

  • @chessketeer
    @chessketeer Před měsícem

    This is unbelievable helpful. Thank you!

  • @zapnode
    @zapnode Před měsícem

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

  • @harx1241
    @harx1241 Před měsícem

    Thanks dude.

  • @michael654
    @michael654 Před měsícem

    Seriously one of the best math channels!

  • @alexanderrios7685
    @alexanderrios7685 Před 2 měsíci

    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 Před 2 měsíci

    W

  • @jimmyhumphrey8358
    @jimmyhumphrey8358 Před 2 měsíci

    YOUR CHEATING

  • @stepbystepscience
    @stepbystepscience Před 2 měsíci

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

  • @viktorkhan8518
    @viktorkhan8518 Před 2 měsíci

    Very intuitive and well structured video! Thank you

  • @user-ly7fi6wm4j
    @user-ly7fi6wm4j Před 2 měsíci

    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 Před 2 měsíci

    Brilliant

  • @02_aldebaranrahmanadhitya95

    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 Před 2 měsíci

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

  • @kiec213
    @kiec213 Před 2 měsíci

    omg this vid is awesome

  • @user-el8st3un6n
    @user-el8st3un6n Před 2 měsíci

    dont you have to normalize in the end?

  • @babi9500
    @babi9500 Před 2 měsíci

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

  • @02_aldebaranrahmanadhitya95

    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 Před 2 měsíci

    Really nice and easy problem. Keep it up 👋🏼

  • @sihaskumarasingha8148
    @sihaskumarasingha8148 Před 2 měsíci

    Actually, (W⊥)⊥ ⊇ W, not equal to W, right?

  • @laibakhan8380
    @laibakhan8380 Před 2 měsíci

    very helpful

  • @callherkhandisaaah8723
    @callherkhandisaaah8723 Před 2 měsíci

    Having hard time understanding number 3

  • @firesanji3699
    @firesanji3699 Před 2 měsíci

    Can you do Disk/Washer and Shell method Calc 1

  • @socal27
    @socal27 Před 2 měsíci

    Gilbert Strang come help me

  • @azariasassaye5797
    @azariasassaye5797 Před 2 měsíci

    you are my goat

  • @amirmirza1273
    @amirmirza1273 Před 2 měsíci

    pov: youre exam is in 8 hours and all skipping is catchign up to you