slcmath@pc
slcmath@pc
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Proof of the Technique of U-Substitution: - 2/3
Course Web Page: sites.google.com/view/slcmathpc/home
CORRECTION: At 8:20, I of course meant to write u_n=g(b), but instead mistakenly wrote u_n=b.
Переглядів: 235

Відео

Proof of the Technique of U-Substitution: - 3/3
Переглядів 1178 місяців тому
Course Web Page: sites.google.com/view/slcmathpc/home
Proof of the Technique of U-Substitution: - 1/3
Переглядів 1958 місяців тому
Course Web Page: sites.google.com/view/slcmathpc/home
Differentials and Explicit Error Bound
Переглядів 768 місяців тому
Course Web Page: sites.google.com/view/slcmathpc/home
Complex Numbers & Special Trigonometric Integrals - Part 4/4
Переглядів 5992 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 4 of 4 of an application of Euler's identity where our objective is to find the exact value of a class of real trigonometric integrals.
Complex Numbers & Special Trigonometric Integrals - Part 3/4
Переглядів 2452 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 3 of 4 of an application of Euler's identity where our objective is to find the exact value of a class of real trigonometric integrals.
Complex Numbers & Special Trigonometric Integrals - Part 2/4
Переглядів 1662 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 2 of 4 of an application of Euler's identity where our objective is to find the exact value of a class of real trigonometric integrals.
Complex Numbers & Special Trigonometric Integrals - Part 1/4
Переглядів 2752 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 1 of 4 of an application of Euler's identity where our objective is to find the exact value of a class of real trigonometric integrals.
Complex Numbers & the Exact Value of Two Famous Infinite Series - Part 6/6
Переглядів 1842 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 6 of 6 of an application of Euler's identity where our objective is to find the exact value of two classic infinite trigonometric series. For complete technical details about the limit, check out problem 5 of the following document: drive.google.com/file/d/11pF7wzcSDN1GNO521qdKCrRQA_i2qApk/view?usp=sharing
Complex Numbers & the Exact Value of Two Famous Infinite Series - Part 5/6
Переглядів 1252 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 5 of 6 of an application of Euler's identity where our objective is to find the exact value of two classic infinite trigonometric series. For complete details on integration and differentiation of power series, check out the following document: drive.google.com/file/d/11qj77w_KyhJSbiLO3WUcrhAkTsNnbpyJ/view?usp=sharing For fundam...
Complex Numbers & the Exact Value of Two Famous Infinite Series - Part 4/6
Переглядів 1162 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 4 of 6 of an application of Euler's identity where our objective is to find the exact value of two classic infinite trigonometric series. For a complete proof of Dirichlet's test, check out problems 1 and 3 of the following document: drive.google.com/file/d/11pF7wzcSDN1GNO521qdKCrRQA_i2qApk/view?usp=sharing
Complex Numbers & the Exact Value of Two Famous Infinite Series - Part 3/6
Переглядів 1252 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 3 of 6 of an application of Euler's identity where our objective is to find the exact value of two classic infinite trigonometric series.
Complex Numbers & the Exact Value of Two Famous Infinite Series - Part 2/6
Переглядів 1332 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 2 of 6 of an application of Euler's identity where our objective is to find the exact value of two classic infinite trigonometric series.
Complex Numbers & the Exact Value of Two Famous Infinite Series - Part 1/6
Переглядів 1722 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is part 1 of 6 of an application of Euler's identity where our objective is to find the exact value of two classic infinite trigonometric series.
The Definition of the Derivative - Slick Solution 6
Переглядів 2492 роки тому
Course Web Page: sites.google.com/view/slcmathpc/home This is an example of how to find the derivative of a function from the definition while doing as little algebraic manipulation as possible, hence the use of the term "slick". The goal is to factor a multiple of Δx from Δy by doing as little work as possible.
The Definition of the Derivative - Slick Solution 5
Переглядів 2552 роки тому
The Definition of the Derivative - Slick Solution 5
The Definition of the Derivative - Slick Solution 4
Переглядів 1712 роки тому
The Definition of the Derivative - Slick Solution 4
The Definition of the Derivative - Slick Solution 3
Переглядів 2292 роки тому
The Definition of the Derivative - Slick Solution 3
The Definition of the Derivative - Slick Solution 2
Переглядів 1712 роки тому
The Definition of the Derivative - Slick Solution 2
The Definition of the Derivative - Slick Solution 1
Переглядів 2822 роки тому
The Definition of the Derivative - Slick Solution 1
Euler's Identity - Proof
Переглядів 2,1 тис.2 роки тому
Euler's Identity - Proof
NYB_4_8
Переглядів 6922 роки тому
NYB_4_8
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 4 (k ≥ 3)
Переглядів 2,2 тис.2 роки тому
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 4 (k ≥ 3)
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 3 (k=2)
Переглядів 1,1 тис.2 роки тому
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 3 (k=2)
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 2 (k=1)
Переглядів 9502 роки тому
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 2 (k=1)
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 1 (k=0)
Переглядів 1,3 тис.2 роки тому
Deriving Summation Formulas for the Sum of Consecutive Powers - Part 1 (k=0)
NYB_13_3_b - A Rigorous Proof of the General Formula for the Area of an Ellipse
Переглядів 3922 роки тому
NYB_13_3_b - A Rigorous Proof of the General Formula for the Area of an Ellipse
NYB_24_1_c
Переглядів 1912 роки тому
NYB_24_1_c
NYB_19_8_f
Переглядів 2122 роки тому
NYB_19_8_f
NYB_19_6_a
Переглядів 2162 роки тому
NYB_19_6_a

КОМЕНТАРІ

  • @shekharjoshi7292
    @shekharjoshi7292 35 хвилин тому

    Such a clear derivation. Realy amazing.

  • @RanBlakePiano
    @RanBlakePiano 8 днів тому

    I can t hear you

  • @salmonroe5608
    @salmonroe5608 10 днів тому

    thank you dear sir for this demonstration. It helped me review my studies. Have a great day.

  • @Victual88
    @Victual88 13 днів тому

    Thanks Man for the great proof! minor correction at 1:20 (you wrote + said (AB) is a P x M matrix. I think you meant (AB)^T is a P x M matrix. (It's still definitely clear what you mean btw)

  • @LorettaAhenkan-bi9hb
    @LorettaAhenkan-bi9hb 18 днів тому

    you said cube root of negative is negative so why did you write x not -x

    • @slcmathpc
      @slcmathpc 6 днів тому

      Because x is negative. ;-)

  • @AlfredKatema-fg1qe
    @AlfredKatema-fg1qe 23 дні тому

    Where did you get those figures 7,10,15 and 22 because when I square matrix a Am getting those figures

  • @ObiajuluEmma-Ebere
    @ObiajuluEmma-Ebere 29 днів тому

    Excellent!! From Nigeria, thank you.

  • @Vedant-xf9qn
    @Vedant-xf9qn Місяць тому

    bro does not get enough credit

  • @Johnsonmoses-hp1kz
    @Johnsonmoses-hp1kz Місяць тому

    Me the question is not stated befor sloving how i meant going to understand

  • @Sarah._.s889
    @Sarah._.s889 Місяць тому

    Very clear and well explained Thank you very much🙏

  • @chrisprice8547
    @chrisprice8547 Місяць тому

    Amazing. Helped me with my Uni assignment. Much love.

  • @DeepanM-xm6fn
    @DeepanM-xm6fn Місяць тому

    Well explanation

  • @ronimandiviiia2514
    @ronimandiviiia2514 Місяць тому

    Ya bro, it was really nice to understand this basic problem. Thank you so much to describe this in easy and brief manner. Just keep it up.😊

  • @tarekbouchlaghem7277
    @tarekbouchlaghem7277 Місяць тому

    Thanks for the simplification

  • @eiconmatheus6812
    @eiconmatheus6812 Місяць тому

    I am starting to hate school especially when math is included

  • @teslayt940
    @teslayt940 Місяць тому

    Explained a 3hr lecture in less than 1hr

  • @sumsumiho
    @sumsumiho Місяць тому

    Thank you so much for such a detailed and easy-to-follow explanation!

  • @Emma-ki3fv
    @Emma-ki3fv Місяць тому

    This is the first time I understood this thank you, it’s been 2 months since my professor taught it.

  • @HannahDavies-dp6qn
    @HannahDavies-dp6qn Місяць тому

    in final step, is the tangent line slope calculation mean to say f(x)dx /g(x) dx evaluated at c (not the derivatives) thank you

    • @slcmathpc
      @slcmathpc Місяць тому

      It is indeed f'(x)dx/g'(x)dx evaluated at x=c.

  • @kungfooman
    @kungfooman Місяць тому

    What if you have x and x squared in the equations? If you define x squared to be... lets say... "a", then the non-squared x turns into a square root and it's still non-linear?

    • @slcmathpc
      @slcmathpc Місяць тому

      Not every non-linear system can be effectively turned into a linear one; it only works for "slightly non-linear" systems. Of course, in your example, you could let a=x and b=x^2, and if the system can then become linear, you can solve it, but at the end, you would have to check that the values of a and b obtained are consistent with the fact that b=a^2.

    • @kungfooman
      @kungfooman Місяць тому

      @@slcmathpc Thank you for the feedback, my example system is: (1) x²+y²=125 and (2) x+y=15... we can already see that it's {x=10,y=5} and vice versa. But I fail to find a nice way to turn it into a linear system, even tho the answer already seems so obvious/simple. My best hope was: let a=a+y, b=xy and take the binomial form of (1) which is (3) (x+y)²-2xy. Then we will have as a result: a²-2b=125 and a=15 and if you solve that you get {a=15, b=50} which is correct since a=x+y=10+5=15 and b=x*y=10*5=50. Still not linearly solvable... maybe it's an example of a non-slightly non-linear system? Lol

  • @Festus2022
    @Festus2022 Місяць тому

    Great explanation. Thanks

  • @user-wp3fu7eu1d
    @user-wp3fu7eu1d 2 місяці тому

    Real Goat

  • @YonatanHaile-rf2jm
    @YonatanHaile-rf2jm 2 місяці тому

    this video was gonna make me question the things i know about this topic, I don't recommend this video

  • @JnSubli
    @JnSubli 2 місяці тому

    Hi, My understanding for series to diverge is when "nth divergence test" must also meet this criteria lim n→∞ aₙ = lim n→∞+1 aₙ ......= lim n→∞+∞ aₙ ≠ 0 else they would either Diverge (don't summed up to a real number) or Undefined (if all summed up to zero and infinitely repeating). Example for aₙ terms that are lim n→∞ (-1)^n or lim n→∞ sin(n) is Undefined. And for your case above lim n→∞ |aₙ| = ∞ ⇒ lim n→∞ aₙ ≠ 0 it may not meet lim n→∞ aₙ = lim n→∞+1 aₙ because lim n→∞ aₙ and n→∞+1 aₙ could also be +- aside from ++ or -- according to the ratio test |aₙ₊₁/aₙ| > 1. It Diverge only because the terms didn't summed up to zero. What do you think sir?

  • @fidget5437
    @fidget5437 2 місяці тому

    Ten/ten video, helps out a ton! Props for putting in the work to make this video's explanation perfectly comprehensible.

  • @user-mn2mc3pd4d
    @user-mn2mc3pd4d 2 місяці тому

    thanks

  • @hulusiserdaryldrm8854
    @hulusiserdaryldrm8854 2 місяці тому

    i was like WTF ?!? when i saw she is a male then i realized that he said we should correct it with "person" lol

    • @hulusiserdaryldrm8854
      @hulusiserdaryldrm8854 2 місяці тому

      but after a 10 years , thanks a lot ! you made me understand this topic which other 5 videos failed to do :D

  • @Tukskun
    @Tukskun 2 місяці тому

    thank you boss

  • @ahmadfakhir7410
    @ahmadfakhir7410 2 місяці тому

    Thanks very good example👍💖💚

  • @IlayShriki
    @IlayShriki 2 місяці тому

    A great video!

  • @Someone_Named_GlowingSubspace
    @Someone_Named_GlowingSubspace 2 місяці тому

    Did somebody call my name?

  • @jamesboumalhab7337
    @jamesboumalhab7337 2 місяці тому

    Appreciate you g

  • @user-sm7ru4vu2b
    @user-sm7ru4vu2b 2 місяці тому

    Great vid

  • @helbertrodriguez6449
    @helbertrodriguez6449 3 місяці тому

    absolute legend

  • @lunaticnomad0
    @lunaticnomad0 3 місяці тому

    Nice content, was a great refresher for me!

  • @MOHINIVERMA-cp5ey
    @MOHINIVERMA-cp5ey 3 місяці тому

    best vedio on this topic

  • @jenm1
    @jenm1 3 місяці тому

    flawless vid

  • @abhinaba9190
    @abhinaba9190 3 місяці тому

    I found your derivation to be very helpful.....but I have just one question..... The graph a displacemnt-time graph right?

    • @slcmathpc
      @slcmathpc 3 місяці тому

      Yes, you should think of f(t) as the position of an object moving in a linear fashion as a function of time. :-)

    • @abhinaba9190
      @abhinaba9190 3 місяці тому

      So that means the position of the object is in a continuous function of time.....like for example for a free falling body changing its postion or accelerating uniformly in the influence of gravity.....with change in time.....

    • @slcmathpc
      @slcmathpc 3 місяці тому

      Yep, those are valid examples!

    • @abhinaba9190
      @abhinaba9190 3 місяці тому

      Thank u:⁠-⁠)

  • @user-kp2uk3cg4g
    @user-kp2uk3cg4g 3 місяці тому

    Thank you prof for the wonderful explanation. I study in Stanford; according to people our faculties are world class. However, I could not understand 1/10th of what I understood here.

  • @surendrakverma555
    @surendrakverma555 3 місяці тому

    Very good. Thanks

  • @errorhostnotfound1165
    @errorhostnotfound1165 3 місяці тому

    I know that he said that finding the generic formula for i^k is supposed to be an exercise, but I have gotten stuck at (n+1)sum((2i-1)^(k/2)) - sum(i(2i-1)^(k/2)), so what is it? I haven't been able to find anything online so far

    • @slcmathpc
      @slcmathpc 3 місяці тому

      The idea that I have presented in these videos only allows one to find the summation formula for i^k recursively, so you can find that of i^3, then i^4, then i^5, and so on, but you cannot jump to say i^20, without first finding the formula for all of the powers lower than 20. Hope this clarifies things. :-)

  • @lesserafimseason
    @lesserafimseason 3 місяці тому

    God I swear this helped me understand the concept better thanks so much.

  • @user-bm5et8ps7r
    @user-bm5et8ps7r 3 місяці тому

    Thanks sir

  • @rodioniskhakov905
    @rodioniskhakov905 4 місяці тому

    Thanks a lot. You explained ALL tests for convergence flawlessly and clearly.

  • @rodioniskhakov905
    @rodioniskhakov905 4 місяці тому

    Man, that was a crystal clear explanation. My respect!

  • @eminence8481
    @eminence8481 4 місяці тому

    wait did the accent start from indian turn to british to american?

  • @ireenmkandawire5844
    @ireenmkandawire5844 4 місяці тому

    Thank you so much

  • @ireenmkandawire5844
    @ireenmkandawire5844 4 місяці тому

    Thank you for this lesson. I am grateful

  • @Siu76_______x
    @Siu76_______x 4 місяці тому

    what is the name of this method

  • @chaneyburlin8077
    @chaneyburlin8077 4 місяці тому

    Helpful. Thanks.