A Plus Integral
A Plus Integral
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Elementary Row Operations
In this video, we'll dive into the three essential elementary row operations in matrix algebra. I'll break down each operation-row swapping, row multiplication, and row addition/subtraction. After explaining each concept, I’ll demonstrate an example using a 4x3 matrix of real numbers, showing exactly how these operations can be applied step-by-step. By the end, you'll be able to perform elementary row operations confidently!
Переглядів: 51

Відео

Limits Using GeoGebra (The Limit function)
Переглядів 1572 місяці тому
In this video I explain how to use the "Limit" command in Geogebra to compute the limit of a function as the independent variable approaches to a given value. The examples include: infinite limits, limits at infinity, 0/0 indeterminate form, and definition of derivative.
Using RStudio to Estimate a Logistic Model
Переглядів 1062 місяці тому
In this video, I demonstrate how to use RStudio to estimate and make predictions with a logistic model, using data imported from an Excel workbook. The explanation uses the following example: Thirty recent mortgage applications are obtained to analyze the mortgage approval rate. The response variable 𝑦 equals 1 if the mortgage loan is approved, 0 otherwise. It is believed that approval depends ...
Value-of money-function
Переглядів 1233 місяці тому
This is an application of the exponential function The following problem is solved: If money loses value at a rate of 2.5% per year What function defines the value of $1 in t years? What is the value of $1 in 12 years? Estimate the cost of a $80 pair of shoes in 15 years.
Finding the periodic payment of a mortgage
Переглядів 1294 місяці тому
This video shows an application problem involving the computation of the periodic payments and the cost of financing a mortgage. The problem solved is the following: Daniel purchased a condominium apartment for $690,000 with 25% down and monthly payments amortized over twenty-five years. If interest is 4.5% compounded semi-annually, a) what is the size of the monthly payments? b) What is the co...
Computing the periodic payment in a general annuity Combination problem
Переглядів 1334 місяці тому
This video shows an application problem involving two general annuities. Given the periodic payment for the first annuity, we need to compute the periodic payment of the second annuity. the problem is the following: Mei Li invested $350 at the end of each quarter at 3.2% compounded annually. At the end of five years, she could withdraw equal amounts at the end of every six months for nine years...
Finding the Periodic Payment of a General Annuity
Переглядів 1744 місяці тому
This video shows an application problem involving the computation of the periodic payment of a general annuity. It also explains how to use a scientific calculator to achieve this task. The calculator used is the Sharp 520. The problem solved is the following: What payment made at the end of every six months for fifteen years will accumulate to $ 18,000 at 5% compounded monthly?
The Present Value of a General Annuity Combination Problem #2
Переглядів 1104 місяці тому
This video shows an example of an application problem in which we need to compute the present value of a deferred ordinary general annuity. In this case, I show the solution of the present value of the deferment period in two ways: first, using the usual rate of interest in the problem, and second, using the equivalent periodic rate of interest computed in the period with payments. The problem ...
Present Value of a General Annuity - Combination Problem #1
Переглядів 1064 місяці тому
This video shows an application problem in which we need to compute the present value of a general annuity with a deferment period (the first payment of the annuity takes place after a period in which only the initial deposit is earning interest). the problem is the following: Mr. Richards intends to retire in eight years. To supplement his pension he would like to receive $950 every three mont...
Present Value of a General Annuity
Переглядів 1444 місяці тому
This video shows an application problem in which we need to compute the present value of an ordinary general annuity. It shows how to store the periodic value of the periodic rate of interest in the memory of a scientific calculator (I use here the Sharp 520), and how to use later the stored number for computing the present value of the annuity. The problem explained is the following: An instal...
Future Value of General Annuity - A Combination Problem
Переглядів 1184 місяці тому
This is an example of a problem that combines two periods of compound interest. One of these periods involves the computation of the future value of an ordinary general annuity. The problem is the following: Scott has saved $1,200 every six months in a savings account earning 5.25% compounded quarterly for the last six years. He plans to leave the accumulated savings for eight years in the savi...
Future Value of a General Annuity
Переглядів 1144 місяці тому
This video shows how to compute the future value of a general annuity, using the following problem as an example: Mrs. Jagger made payments of $150 at the end of every three months for 16 years earning 4.5% compounded monthly. How much interest is included in the future value of the annuity?
General Annuities
Переглядів 1184 місяці тому
This video explains the concept of a general annuity and shows an example of how to compute the future value of a general annuity. We show how to use a scientific calculator to achieve this goal. The calculator used here is the Sharp 520. We show how to calculate the value of the periodic payment and how to store this value in the calculator's memory. Later, we show how to recall this number fr...
Finding the Nominal Rate of Interest
Переглядів 1454 місяці тому
In this video, I explain with 3 examples how to find the nominal rate of interest in an investment in which we know the present value, the future value and the term of the investment.
Equivalent Rates of Interest
Переглядів 1964 місяці тому
In this video, I explain with two examples how to find an equivalent nominal rate of interest, compounded over a given number of periods per year, when we know another nominal rate of interest compounded over a different number of periods.
A Nominal Rate from an Effective Rate
Переглядів 1124 місяці тому
A Nominal Rate from an Effective Rate
The Effective Rate of Interest
Переглядів 1304 місяці тому
The Effective Rate of Interest
The uniform distribution - Example 2
Переглядів 2987 місяців тому
The uniform distribution - Example 2
Using the Poisson distribution table
Переглядів 4177 місяців тому
Using the Poisson distribution table
The Expected Value Example # 5 (The Bakery Expected Revenue)
Переглядів 4509 місяців тому
The Expected Value Example # 5 (The Bakery Expected Revenue)
Discrete Probability Distribution in Excel
Переглядів 4539 місяців тому
Discrete Probability Distribution in Excel
Working Discrete Probability Distributions in the BA II + Calculator
Переглядів 9049 місяців тому
Working Discrete Probability Distributions in the BA II Calculator
The Expected value of a Discrete Probability Distribution (The Bakery Problem)
Переглядів 6749 місяців тому
The Expected value of a Discrete Probability Distribution (The Bakery Problem)
Matrix Multiplication
Переглядів 1,1 тис.Рік тому
Matrix Multiplication
Addition, Subtraction, and Scalar Multiplication - Matrix Operations
Переглядів 1,1 тис.Рік тому
Addition, Subtraction, and Scalar Multiplication - Matrix Operations
Operations with Matrices - Scalar Multiplication
Переглядів 1,1 тис.Рік тому
Operations with Matrices - Scalar Multiplication
El Concepto de Función Explicado.
Переглядів 1,2 тис.Рік тому
El Concepto de Función Explicado.
Imperfect Competition
Переглядів 1,3 тис.Рік тому
Imperfect Competition
Monopoly, Cartels and Price Discrimination
Переглядів 1,4 тис.Рік тому
Monopoly, Cartels and Price Discrimination
The Lagrange's Method - Example #1
Переглядів 599Рік тому
The Lagrange's Method - Example #1

КОМЕНТАРІ

  • @AtrocitusGR
    @AtrocitusGR 7 днів тому

    Thank you

  • @MrZTEH
    @MrZTEH Місяць тому

    This is on point and very insightful

    • @aplusintegral
      @aplusintegral Місяць тому

      I'm glad you found it useful. If you have any questions about probability distributions do not hesitate to contact us in this way. We will be very happy being of help with UA-cam videos.

  • @SoundharyasFeed
    @SoundharyasFeed Місяць тому

    Super helpful! Thank you so much

  • @marteno134
    @marteno134 Місяць тому

    This made it so much more simple I actually understand it now thank you!

  • @lydiamwanza5839
    @lydiamwanza5839 2 місяці тому

    Nice explanation ✌🏾❤

  • @BuffyIsmail
    @BuffyIsmail 2 місяці тому

    you are a legend this stuff is so good

    • @aplusintegral
      @aplusintegral 2 місяці тому

      Thanks! I'm glad you found it useful!

  • @Administer-x7y
    @Administer-x7y 2 місяці тому

    Thanks a lot!

  • @LearnSomething35
    @LearnSomething35 3 місяці тому

    Thank you

  • @tanyajain7802
    @tanyajain7802 3 місяці тому

    Sir please give instructions clearly

    • @aplusintegral
      @aplusintegral 3 місяці тому

      I would like to be of help. Please tell us about what you need clarification.

  • @kashishchander9225
    @kashishchander9225 4 місяці тому

    well explained sir 🙌

    • @aplusintegral
      @aplusintegral 4 місяці тому

      I’m really glad you found it useful

  • @khinayemyint2148
    @khinayemyint2148 5 місяців тому

    Thank you Sir,I really clear .

  • @stanragner4329
    @stanragner4329 5 місяців тому

    Thank you professor

  • @pedroparamo2414
    @pedroparamo2414 5 місяців тому

    Excelent explanation.

  • @HernandoBurgos-rw7jx
    @HernandoBurgos-rw7jx 6 місяців тому

    Thanks!

  • @samadritahaldar2725
    @samadritahaldar2725 7 місяців тому

    very nicely explained! thank you

  • @ap19856
    @ap19856 7 місяців тому

    This video saved me thank you so much for this

    • @aplusintegral
      @aplusintegral 7 місяців тому

      I'm glad to know it was useful

  • @norz172steel5
    @norz172steel5 7 місяців тому

    Thank you for your easy to understand explanations. Keep up the good work

  • @RoseriaWhite
    @RoseriaWhite 7 місяців тому

    very useful,thank

  • @Diwakar67536
    @Diwakar67536 7 місяців тому

    help me to solve this question: A bus on line A arrives at a bus station every 4 minutes and a bus on line B every 6 minutes. The time interval between an arrival of a bus for line A and a bus for line B is uniformly distributed between 0 and 4 minutes. Find the probability: a) That the first bus that arrives will be for line A. b) That a bus will arrive within 2 minutes (for line A or B).

    • @aplusintegral
      @aplusintegral 7 місяців тому

      Yes for sure, I will help you. This evening I will make a video of how to solve this problem. Besides the concept of uniform distribution, you know integration, am I right?

    • @aplusintegral
      @aplusintegral 7 місяців тому

      I have posted a solution to this question in ua-cam.com/video/w-eV621AorY/v-deo.html

  • @amermuzaffar8526
    @amermuzaffar8526 7 місяців тому

    thank you sir.

    • @aplusintegral
      @aplusintegral 7 місяців тому

      I‘m glad you found it useful.

  • @adrianminas5843
    @adrianminas5843 7 місяців тому

    Great! Thanks a lot!

  • @abdulaiabdul-latif6835
    @abdulaiabdul-latif6835 7 місяців тому

    Super tutorial

    • @aplusintegral
      @aplusintegral 7 місяців тому

      Glad you think so! You can write in the comments any math or statistics problem you want to get an explanation.

  • @abdulaiabdul-latif6835
    @abdulaiabdul-latif6835 7 місяців тому

    Great

  • @marilinfykes7558
    @marilinfykes7558 8 місяців тому

    ❤️ Promo*SM

  • @orlandolobato4466
    @orlandolobato4466 9 місяців тому

    Thanks for the explanation professor, it was very clear.

    • @aplusintegral
      @aplusintegral 9 місяців тому

      Good to know from one of my number one subscribers 👍

  • @ChueyadanarLinn
    @ChueyadanarLinn 9 місяців тому

    It's very clear! Thank you so much

    • @aplusintegral
      @aplusintegral 9 місяців тому

      I’m glad you have found it useful. Please feel free of ask any question in the comments.

  • @bashirumahmud3381
    @bashirumahmud3381 9 місяців тому

    My problem is that I don't know how to use the formula in the calculator to arrive at the final answer.

    • @aplusintegral
      @aplusintegral 9 місяців тому

      Hi Bashiru, Thanks for your interest. I understand your problem. Every calculator is different but every scientific or financial calculator has a key for the exponential function. You can see the following video in which I explain how to use that ba II + calculator of Texas instrument for solving a similar problem: ua-cam.com/video/NtmBrDzoKRI/v-deo.html. This is a long video, but the explanation of the calculator is from about minute 18

  • @braveman-qm6qn
    @braveman-qm6qn 10 місяців тому

    awesome you gained a sub

    • @aplusintegral
      @aplusintegral 10 місяців тому

      😋I m glad you’ve found it useful

  • @trouble.nyirongo4483
    @trouble.nyirongo4483 10 місяців тому

    This is awesome you are a great recture

    • @aplusintegral
      @aplusintegral 10 місяців тому

      Thanks. I am Hernando. If you have further questions do not hesitate and type them in the comments. I’m looking for students questions for making videos of interest. A little about me can be found in the Wikipedia page en.m.wikipedia.org/wiki/Hernando_Burgos-Soto

  • @F-m.a
    @F-m.a 10 місяців тому

    Ratio + does not work

    • @aplusintegral
      @aplusintegral 10 місяців тому

      Thanks for sharing. If the function does not have indetermination, just make a substitution, example g(1). If the function is a ratio with an indetermination 0/0, as the one in the example, you cannot make the substitution. So, you will need to use the graph of the function and click on the point of the graph that has x coordinate given by the value x approaches.

  • @smokeesmoke3408
    @smokeesmoke3408 Рік тому

    another great lecture

  • @smokeesmoke3408
    @smokeesmoke3408 Рік тому

    great lecture

  • @jagathrajapaksha9093
    @jagathrajapaksha9093 Рік тому

    great explanation, thank you so much, specially, I understood the difference between mu and lambda

    • @aplusintegral
      @aplusintegral Рік тому

      You are really welcome! Yes, I have followed the notation of some textbooks (Groebner's textbook from Pearson for example) that show the difference between the average (lambda) in the segment of the information of the question, and the average (mu) in the interval of the actual question of the problem. Some other classical textbooks only consider in their explanation the average in the actual question of the problem, and for them, mu and lambda are the same thing. So we need to be careful what type of notation your book is using. Thanks a lot for your participation.

    • @jagathrajapaksha9093
      @jagathrajapaksha9093 Рік тому

      Thank you so much for your time giving further information. good day Sir @@aplusintegral

  • @adrianmonk4468
    @adrianmonk4468 Рік тому

    Muchas gracias Profesor. por la tan detallada explicación. Sin embargo. me pregunto si podrías extenderte en la contribución de Cantor o si esta esta restringida exclusivamente a la creación de la Teoría de Conjuntos.

    • @aplusintegral
      @aplusintegral Рік тому

      Hola Adrianmonk, gracias por tu pregunta y por tu interés en el tema. Por supuesto una vez la teoría de conjunto entra en escena el concepto que ahora conocemos como función queda casi por completo determinado. En efecto Cantor lo utiliza en definiciones y demostraciones. Por ejemplo en la sección 4 del artículo de 1895 "Contribuciones a los fundamentos de la teoría de números transfinitos" Cantor define la operación exponenciación entre números naturales n^m, como el número de posible funciones (el llama a las funciones "cubiertas" del primer conjunto), entre un conjunto que contiene m elementos y otro que tiene n elementos. Incluso, en este artículo, Cantor llama función de x y denomina f(x) a lo que nosotros conocemos como imagen de x.

    • @adrianmonk4468
      @adrianmonk4468 Рік тому

      Gracias, Información recibida@@aplusintegral

    • @aplusintegral
      @aplusintegral Рік тому

      Your very welcome. Please feel free to ask any question related to this topics@@adrianmonk4468

  • @legendarymadridista617
    @legendarymadridista617 Рік тому

    Muchas gracias por este vídeo. Siento que me va a ayudar en mi preparacion para mi examen.

    • @aplusintegral
      @aplusintegral Рік тому

      Me alegra mucho que lo hayas encontrado útil.

  • @miguelzapataferreira
    @miguelzapataferreira Рік тому

    Excelente video. Excelente pedagogía: enuncia el concepto, lo parafrasea, lo ilustra con ejemplos sencillos, define los elementos usados en la definición, aplica el concepto, repite para ayudar a memorizar, etc. Muestra las fuentes originales y en distintas lenguas: ésta es la labor de un académico serio. Se pueden leer las notas fácilmente mediante el uso del acercamiento de la cámara. El volumen del audio es adecuado, y mejoró hacia el final. Felicitaciones: me quito el sombrero..

    • @aplusintegral
      @aplusintegral Рік тому

      Muchisimas gracias. Comentarios como este me invitan a seguir en esta labor.

  • @nanditairawan3344
    @nanditairawan3344 Рік тому

    How e^-5?

    • @aplusintegral
      @aplusintegral Рік тому

      Thanks for your question. I understand that your question is how to compute e^-5. Well e=2.7182818, approximately. So, one way to compute this will be using this approximation in your calculator and use minus 5 as the exponent. However, every Financial and Scientific calculator has a key for the exponential function (e^x) you can use this function of your calculator. If you want to know more about the number e, you can see my video: ua-cam.com/video/6ShLN8B8xDs/v-deo.html

  • @deepanshusharma11
    @deepanshusharma11 Рік тому

    thanks big brother may god bless you

    • @aplusintegral
      @aplusintegral Рік тому

      You’re very welcome. Please let me know if you need to see the solution of other problem in a UA-cam video

  • @adrianmonk4468
    @adrianmonk4468 Рік тому

    Thanks a lot. This make it clearer!

    • @aplusintegral
      @aplusintegral Рік тому

      I am glad you’ve found it useful! Please feel free to ask any question.

  • @yusufmostafa5404
    @yusufmostafa5404 Рік тому

    I loved it <3 , thank you .

    • @aplusintegral
      @aplusintegral Рік тому

      I’m glad you found it useful, please let me know if there is any other problem you would like to be featured in this Channel

  • @nuguyaguuu
    @nuguyaguuu Рік тому

    Hi sir, ur video makes me so motivate to learn this material. But can I ask, why when we find question c we should put 1 in cumulative part in excel? Thank u

    • @aplusintegral
      @aplusintegral Рік тому

      Hi Alifia, Thanks for your words. Any time that we want to compute a probability of the form, P(X<=a) (with a less than or equal to), we need to inform Excel that this is a problem of cumulative probability. For doing that we can type in Excel, as final argument, "TRUE", or a 1, that has the same meaning in Excel. With this, we inform Excel that is true that this is a cumulative probability. If the problem is an exact probability, that is to say is of the form P(x=a), then we need to inform Excel that it is not cumulative typing as a final argument "FALSE" or a 0. If you have further questions, do not hesitate in asking us. Thanks again

  • @adrianminas5843
    @adrianminas5843 Рік тому

    Thanks!

  • @MM-ys4fx
    @MM-ys4fx Рік тому

    The formula for the crash multiple is: ∞/(∞-X), X is randomly selected from 0~∞. The data are 6.51 and 9.51 The result is = 33.88 Can you explain to me how to find this result please Can you give me a solution to this issue

    • @aplusintegral
      @aplusintegral Рік тому

      Hello MM-ys4fx, Could you provide more information about the context of your question. I will be very happy helping you and providing a video explaining. However, I will need more information. What is the topic? What do you mean when you say "crash multiple"? What is the subject you are studying?

    • @MM-ys4fx
      @MM-ys4fx Рік тому

      @@aplusintegral I am not good at English but I am a moment that the responsibility is giving a number and predicting the result The Data Are 6.51 and 9.51 The Result Is = 33.88 The result is the number of prediction I want it because I discovered that one of the games are going on this pattern

    • @aplusintegral
      @aplusintegral Рік тому

      @@MM-ys4fx I still want to help you. however I do not understand exactly what Is the actual question. If you want, you can write the whole question in your mother tongue ( if is taking from a book, type exactly as it is), and I will try to translate using a digital translator.

    • @MM-ys4fx
      @MM-ys4fx Рік тому

      @@aplusintegral شكرا لك حقا انك انسان رائع ما اقصده اني العب لعبه اسمها الطيارة وهذه الطيارة تتحطم في ارقام مميزه وكأنها تستخدم معادلة معينة او خورازميه معينة ولذالك بحثت حتى حصلت على هذه المعادلة التي تستخدمها اللعبة

    • @aplusintegral
      @aplusintegral Рік тому

      @@MM-ys4fx Great I like the problem, and I think I can help you to solve it. But Still I have some questions: The plane can crash in any real number, from minus infinite to infinite with the same probability? You told me that there are two data 6.51 and 9.51. What role do these two numbers play?

  • @veronicamiles7823
    @veronicamiles7823 Рік тому

    Thanks so much. Do you do statistics tutoring as well?

    • @aplusintegral
      @aplusintegral Рік тому

      I am very glad that you found this video useful. Unfortunately, I do not tutor at this time. However, if you make a comment asking me a math question, I'll be happy to make a video of the answer and post it here in this channel.

  • @douglasgillian783
    @douglasgillian783 Рік тому

    promo sm 😇

    • @aplusintegral
      @aplusintegral Рік тому

      I am very glad that you found this video useful. Unfortunately, I do not do tutoring at this moment. However, if you make a comment asking me a mathematics question I will be happy making a video with the answer and posting it here, in this channel.

  • @melanieclaire509
    @melanieclaire509 Рік тому

    Thank you very much all the way from Cameroon

    • @aplusintegral
      @aplusintegral Рік тому

      I’m really glad you found it useful please share with your friends. If you have any math, probability or statistics exercise that you want to be featured in this channel, please let us know.

  • @Aditya.259
    @Aditya.259 Рік тому

    What is the value of e

    • @aplusintegral
      @aplusintegral Рік тому

      e is approximately 2.7182818285. It is la base of natural logarithms. Every scientific calculator has a function to compute its powers, e^x. In this channel there is a video showing deduced to how this constant can be obtained here it is the link ua-cam.com/video/6ShLN8B8xDs/v-deo.html

    • @Aditya.259
      @Aditya.259 Рік тому

      @@aplusintegral thankyou 👍👍

  • @michaelitam3132
    @michaelitam3132 Рік тому

    Great teaching skills. Much appreciated!

    • @aplusintegral
      @aplusintegral Рік тому

      I'm really happy knowing you found it useful!

  • @zubairsaeed3912
    @zubairsaeed3912 Рік тому

    god bless your soul

    • @aplusintegral
      @aplusintegral Рік тому

      I’m glad to know that you found it useful. If you have any question or mathematics problem, you want to know how to solve. Please do not hesitate to ask me by this means. Thanks

  • @KartikGajaria
    @KartikGajaria 2 роки тому

    Thank you for such a simple and to the point explanation. This was really helpful.