Mathacy
Mathacy
  • Видео 17
  • Просмотров 847 808
Vectors
Vectors are one of the most powerful entities in mathematics. They are crucial in various fields such as engineering, physics, computer science and mathematics. They can be added, scaled and follow algebraic rules that allow them to solve real world problems
In this video, we completely explain what vectors are and how to use them, from addition to the vector straight line equation. Multiplying vectors together will be covered in the next video.
Problem Sheet: mathacy.com/problem-sheets
Timestamps:
0:00 - Intro
1:24 - Vectors
1:55 - Scalars
2:26 - Standardising Vectors
2:54 - Cartesian Vectors
3:55 - Magnitude and Direction
5:20 - Polar Vectors
5:51 - Adding and Subtracting vectors
11:01 - Scalar mul...
Просмотров: 1 184

Видео

Parametric and Implicit Differentiation (visualised)
Просмотров 12 тыс.2 года назад
Parametric and Implicit differentiation are the sneakiest tools for combating derivatives! It allows us to solve difficult differentiation problems with ease by utilising the Chain Rule in very sneaky ways! Explore what's really happening with Parametric and Implicit differentiation! Differentiation video: ruclips.net/video/HNDIS_mZb0E/видео.html Problem Sheet: mathacy.com/problem-sheets Timest...
The function that solves every Integration question | Weierstrass Substitution | tan(x/2)
Просмотров 6 тыс.2 года назад
The Ghost Substitution (commonly known as the Weierstrass or Half-Angle Tangent Substitution) is one of the 'sneakiest substitutions' in mathematics. The Ghost Substitution utilizes a very clever and useful property about trigonometric functions which allows us to solve complex calculus related problems. In this video, we visually explain how we can intuitively define the circle using the Ghost...
Integration by substitution (visualised)
Просмотров 17 тыс.3 года назад
Integration by substitution is one of the most powerful tools for combating integrals! It allows us to transform a difficult integral into a significantly easier one. In this video we visually show what actually happens when you perform a substitution and how to properly use integration by substitution. Integration video: ruclips.net/video/vcEmFspb8ZU/видео.html Problem Sheet: mathacy.com/probl...
Integration by parts (visualised)
Просмотров 34 тыс.3 года назад
Integration by parts is one of the most useful tools for finding integrals! In this video we cover what it is, how it works and we also show what is VISUALLY happening! Integration by parts is the product rule for Integration. It allows us to find the integral of functions multiplied together and it is a super interesting solution to a geometrical problem! Problem Sheet: mathacy.com/problem-she...
Integration
Просмотров 13 тыс.3 года назад
Integration is one of the beautiful pillars of calculus. It revolves around the idea of doing the opposite of differentiation, an anti-differentiation. Sounds straight forward right? However, there is an unbelievable connection which revolutionized mathematics entirely! That result is that anti-differentiation is equivalent to the area under a curve. In this video we take a deep dive into integ...
Differentiation - The Chain Rule
Просмотров 12 тыс.3 года назад
The Chain Rule is one of most important rules in differentiation and allows us to find the derivative of composite functions. This rule alone allows to differentiate an infinite number of different functions and combined with the product rule, allows us to solve almost every differentiation problem! Chain Rule Problem Sheet: mathacy.com/problem-sheets Timestamps: 00:00 - Intro 00:16 - The Compo...
UNBELIEVABLE: 1 x 2 x 3 x 4 x ... = √2π | Infinity Factorial / Product of Natural Numbers
Просмотров 14 тыс.3 года назад
Astounding! The product of all natural numbers (or counting numbers) is equal to √2π. In this video we go through how this result is derived a take a look at the super famous Riemann-zeta function and use it to formulate this result and we will utilise our arsenal of differentiation. Disclaimer: There are many areas in this video that 'break' mathematics, such as taking the derivative of an inf...
Differentiation - Product Rule (and Quotient Rule)
Просмотров 26 тыс.3 года назад
The product rule is one of the most useful tools for differentiating functions multiplied by other functions. This beautiful rule allows us to differentiate a practically infinite number of functions! We also take a deep dive into the quotient rule which allows us to find the derivative of functions divided by other functions! You don't wanna miss this! Problem Sheet: mathacy.com/videos/differe...
What is e and ln(x)? (Euler's Number and The Natural Logarithm)
Просмотров 591 тыс.3 года назад
Euler's Number, e, is one of the most prominent constants in mathematics and exponential functions are some of the most important in maths. In this video: we take a deep dive into what Euler's Number is, what exponential functions are and how to differentiate them and we take a look at the super important natural logarithm, ln(x). Website: mathacy.com Timestamps: 0:00 - Intro 0:27 - Compound in...
Differentiating sin(x), cos(x) and tan(x)
Просмотров 11 тыс.3 года назад
Trigonometric functions are some of the most fundamental functions in mathematics. In this session we learn how what the derivatives of sin(x), cos(x) and tan(x) are and prove it via first principles. These classic functions form a very beautiful relationship, you don't want to miss this one! Proof of tan(x): mathacy.com/videos/differentiation-playlist Concrete proof: mathacy.com/videos/differe...
Stationary Points (Turning Points)
Просмотров 17 тыс.3 года назад
Stationary Points (Turning Points)
Differentiation
Просмотров 43 тыс.3 года назад
Differentiation

Комментарии

  • @PatrickPerez-o1b
    @PatrickPerez-o1b 2 дня назад

    Johnson Laura Taylor Betty Harris Deborah

  • @mwerensteijn
    @mwerensteijn 6 дней назад

    Thank you so much!

  • @ONeilPoppy-l1k
    @ONeilPoppy-l1k 7 дней назад

    Harris Brian Taylor Jessica Thomas Laura

  • @Pulipatismitanaga
    @Pulipatismitanaga 7 дней назад

    10th class student be like : ah man out of syllabus

  • @Religion_in_Science
    @Religion_in_Science 10 дней назад

    Subscribed!

  • @Arycke
    @Arycke 11 дней назад

    6:02 , the indefinite integral should have had abs value around f(x), bc f(x)=x+1 has negative f(x) values. I.e. ln|(x+1)| + C, where x ≠-1 Original function had domain (-inf,-1)U(-1,+inf) You get an anti derivative at every point defined in the original domain.

    • @Arycke
      @Arycke 11 дней назад

      Still an awesome visualization. Thanks for this, sir.

  • @HousmanTim-m8j
    @HousmanTim-m8j 13 дней назад

    Thompson Daniel Young Matthew Lee Christopher

  • @TyrelleBarker
    @TyrelleBarker 14 дней назад

    All i heard was haych

  • @MelvilleAlbert-h2j
    @MelvilleAlbert-h2j 15 дней назад

    White Michael Rodriguez Kimberly Hernandez Anthony

  • @balaakhilan
    @balaakhilan 15 дней назад

    gauss found this when he was a kid

  • @fatlip8315
    @fatlip8315 17 дней назад

    Anything times the rate of decay, equals everything adds up to what it adds up to until it decays and isn't what it once was. Even the universe expanding times the rate of decay, means the universe isn't expanding much more then it decays. What would be a good way to explain the rate of decay in a mathematical formulation.

  • @threety-three5091
    @threety-three5091 18 дней назад

    i have one question, if f(x) and g(x) are parametric equations to each other, when thinking about the graph formed, the integrals you are calculating wont really be the integrals of the functions themselves, but rather some representation of them to fit into the parametric equation. Can someone explain why this works?

  • @juzbecoz
    @juzbecoz 18 дней назад

    Zeta enters

  • @OConnorCarr-b7l
    @OConnorCarr-b7l 19 дней назад

    Thomas Paul Johnson Barbara Anderson Susan

  • @AdaHurley-h3q
    @AdaHurley-h3q 20 дней назад

    Dickinson Mall

  • @PeggyCecil-z8h
    @PeggyCecil-z8h 24 дня назад

    Johnnie Summit

  • @TitusAfra-h5f
    @TitusAfra-h5f 24 дня назад

    Lewis Betty Miller Ruth Anderson Nancy

  • @AntoinetteSusie-r3m
    @AntoinetteSusie-r3m 26 дней назад

    Wilson Jennifer Taylor Jennifer Robinson Michael

  • @FieldWordsworth-m5n
    @FieldWordsworth-m5n 27 дней назад

    Davis Sharon Gonzalez Kenneth Robinson Timothy

  • @ElectraBard-h3d
    @ElectraBard-h3d 28 дней назад

    Brown Eric Garcia Elizabeth White Lisa

  • @padaddadada5417
    @padaddadada5417 28 дней назад

    thank you for your video !!! But i have a question at 3:10 you rotate the x and y axis to calculate the area between y1 and y2 but what if instead of an exponential curve as here , we had a cos function then the cos function would be (rotated too ) and what sense would calculating the area under this curve have ?

  • @MorrisonOscar-u6l
    @MorrisonOscar-u6l 29 дней назад

    Jones Kenneth Williams Robert Robinson Mark

  • @nicolasgobert8324
    @nicolasgobert8324 Месяц назад

    Perfect Video ❤

  • @YuleTaylor-l8g
    @YuleTaylor-l8g Месяц назад

    Gonzalez Lisa Robinson Thomas Jones Jeffrey

  • @WhittierElliot-f3b
    @WhittierElliot-f3b Месяц назад

    Taylor Larry Taylor Margaret Johnson William

  • @themegaruler
    @themegaruler Месяц назад

    funny beginning i laughed

  • @BenBernice-i5y
    @BenBernice-i5y Месяц назад

    Rau Extension

  • @BrendaStephens-v8g
    @BrendaStephens-v8g Месяц назад

    Garcia Jennifer Smith Shirley Young Brenda

  • @ENGYOUJUEMoe
    @ENGYOUJUEMoe Месяц назад

    Its factorial x!

  • @SVKrillemall
    @SVKrillemall Месяц назад

    maybe explain this faster....

  • @SamuelGriffin-x7b
    @SamuelGriffin-x7b Месяц назад

    Thomas Elizabeth Allen Anthony White Elizabeth

  • @AbhinavKumar-nh8dl
    @AbhinavKumar-nh8dl Месяц назад

    Isn't this just factorial ?

  • @SvjdjdSbndn
    @SvjdjdSbndn Месяц назад

    Brown Kenneth Jackson Lisa Anderson Richard

  • @OrpiAktar-q3w
    @OrpiAktar-q3w Месяц назад

    Allen Mary Taylor Paul Young Ruth

  • @melissa4208
    @melissa4208 Месяц назад

    You didn't explain why use constant c

  • @MeiziVu
    @MeiziVu Месяц назад

    love you!!!!

  • @AktarFardose
    @AktarFardose Месяц назад

    Thompson Angela Clark Betty Wilson Daniel

  • @rajakannant5724
    @rajakannant5724 Месяц назад

    Product of squares of all natural numbers 1²×2²×3²×4²×5²×....=2π

  • @larianton1008
    @larianton1008 Месяц назад

    I didnt understand shit. What a stupid and non pedagogical shit fest. Thank you, bye bye.

  • @DebraLittle-pz5um
    @DebraLittle-pz5um Месяц назад

    Allen Frank Jackson Daniel Harris Kimberly

  • @JoinRitt
    @JoinRitt Месяц назад

    Harris Sharon Walker Brenda Johnson Mark

  • @ejsafara456
    @ejsafara456 Месяц назад

    oh my god, this has helped me SO MUCH, the animation was ON POINT i now UNDERSTAND thank you for the video ^^

  • @MelanieMills-c1v
    @MelanieMills-c1v Месяц назад

    Martinez Elizabeth Smith Robert Wilson Scott

  • @LloydBates-t6x
    @LloydBates-t6x Месяц назад

    Gonzalez Joseph Hall Lisa Jones Linda

  • @_InTheBin
    @_InTheBin Месяц назад

    lost in h and x and eventually y.. learning by sleeping ;)

  • @sharibkausar-n8t
    @sharibkausar-n8t Месяц назад

    I am from India i want to say that your video based on interesting facts

  • @gulnaroguz2510
    @gulnaroguz2510 2 месяца назад

    Worthy brain burned video! 🔥 thanks a lot!

  • @ablues15
    @ablues15 2 месяца назад

    Haych

  • @sammtanX
    @sammtanX 2 месяца назад

    isn't it a factorial?

  • @TheJara123
    @TheJara123 2 месяца назад

    Nice way you put it man...