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Calculus
Canada
Приєднався 22 січ 2020
Yep, this is a math channel and much more. In this channel my focus is on providing tutorial videos on Calculus, PreCalculus, Trigonometry, Algebra, Geometry, Advanced Calculus, Differential Equations, Linear Algebra, Vector Calculus, Discrete Math, Statistics, Math Grade 10, 11 and 12,....
Perfect Square - Perfect Square Identity for Factoring
In this video we will learn about Perfect Square Identity for Factoring. This method is very important method for FACTORING EXPRESSIONS.
The Perfect Square Identities are formulas that allow you to expand or factor expressions involving perfect squares. They are useful when dealing with squared binomials.
Perfect Square Identities:
Square of a Sum:
(a+b)^2=a^2+2ab+b^2
Square of a Difference:
(a−b)^2=a^2−2ab+b^2
Factoring Perfect Square Trinomials:
If a trinomial matches the form a^2+2ab+b^2or a^2−2ab+b^2, it can be factored using these identities.
Example :
x^2 -6x + 9 = (x-3)^2
The Perfect Square Identities are formulas that allow you to expand or factor expressions involving perfect squares. They are useful when dealing with squared binomials.
Perfect Square Identities:
Square of a Sum:
(a+b)^2=a^2+2ab+b^2
Square of a Difference:
(a−b)^2=a^2−2ab+b^2
Factoring Perfect Square Trinomials:
If a trinomial matches the form a^2+2ab+b^2or a^2−2ab+b^2, it can be factored using these identities.
Example :
x^2 -6x + 9 = (x-3)^2
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Відео
Sum and Difference of cubes Factoring - Sum and Difference of Cubes Identity
Переглядів 411 годин тому
In this video we will earn about Sum and Difference of Cubes formula for factoring Expressions. Sum and Difference of CUBES identity is one of the most important formula for factoring expressions. The Sum and Difference of Cubes formulas are used to factor expressions of the form a^3 b^3 (sum of cubes) and a^3−b^3 (difference of cubes). These formulas are: 1. Sum of Cubes: a^3 b3=(a b)(a^2−ab b...
Factoring expressions with Fractional Coefficients
Переглядів 419 годин тому
In this video we will earn about Factoring expressions with Fractional Coefficients and decimal coefficients.
Difference of Squares Formula for Factoring - Difference of Squares Identity - Algebra
Переглядів 522 години тому
In this video we will learn about Difference of Squares formula for factoring Expressions. Difference of Squares identity is one of the most important formula for factoring expressions. The difference of squares identity is a fundamental algebraic formula used for factoring expressions. It states: a^2−b^2=(a−b)(a b) Explanation: The term a^2 is the square of a. The term b^2 is the square of b. ...
Factoring Trinomials - Factoring Quadratic Expressions
Переглядів 202 години тому
In this video we will earn about Factoring Trinomials. Gactoring trinomials is very important method for factoring expressions. Factoring Trinomials Description: For quadratic trinomials of the form ax^2 bx c find two numbers that multiply to ac and add to b. Rewrite and factor by grouping.
Factoring Common Factor - Factoring Greatest Common Factor ( GCF ) - Algebra
Переглядів 134 години тому
In this Algebra video we will earn about Factoring common ( factor Greatest Common Factor (GCF)) which is the easiest method in factoring and it is the most important method. Factoring Out the Greatest Common Factor (GCF) Description: Identify the largest factor common to all terms in the polynomial and factor it out.
Factoring Methods - GCF, AC Method, Grouping, Factoring Trinomials, Difference of Squares and more
Переглядів 484 години тому
In this video we will earn about different moethods of factoring like GCF, AC Method, Grouping, Factoring Trinomials, Difference of Squares, difference and sum of cubes, factoring expressions with negative exponents, factoring expressions with fractional exponents and other methods. Factoring Out the Greatest Common Factor (GCF) Description: Identify the largest factor common to all terms in th...
Sketching Sets and Regions in the Complex Plane
Переглядів 277 годин тому
In this video we will learn about Sketching Sets and Regions in the Complex Plane. Explore the fascinating world of complex numbers and learn how to sketch regions in the complex plane! 🌌 This video dives into understanding inequalities and equations involving complex numbers, visualizing sets like circles, half-planes, and other intriguing shapes. Whether you're tackling math problems, studyin...
Trigonometric Integrals - Sine and Cosine with Odd and Even degrees integrals
Переглядів 1249 годин тому
In this video we will learn how to integrate Sine and Cosine with Odd and Even degrees . We will do several examples and we will learn the general method. When integrating powers of sine (sin^n(x)) and cosine (cos^n(x)) functions, the distinction between odd and even powers is significant as it determines the strategy for integration.
Conjugate of Complex Numbers Properties and their proofs - Complex Variables
Переглядів 2412 годин тому
In this video we will learn about properties of conjugate of complex numbers and their proofs. We prove all the properties of conjugate of a complex number. Complex numbers are numbers that extend the concept of the one-dimensional number line to the two-dimensional complex plane. They consist of a real part and an imaginary part, and they are used in mathematics, physics, engineering, and othe...
Weierstrass Substitution -Finding integral of trigonometric functions using Weierstrass Substitution
Переглядів 2614 годин тому
In this video I will show you how to use Weierstrass Substitution to find integral of rational functions of sine and cosine. The Weierstrass substitution (or tangent half-angle substitution) is a method for evaluating integrals, particularly those involving trigonometric functions. It works by transforming trigonometric functions into rational functions, making them easier to integrate. This su...
Conjugate of Complex Numbers Properties and their proofs - Complex Variables
Переглядів 1514 годин тому
In this video we will learn about properties of real part and imaginary part and conjugate of complex numbers and their proofs. We prove all the properties of real and imaginary parts of complex numbers. Complex numbers are numbers that extend the concept of the one-dimensional number line to the two-dimensional complex plane. They consist of a real part and an imaginary part, and they are used...
Multiplying and dividing Complex Numbers and Raising to a Power - Complex Variables
Переглядів 1816 годин тому
In this video we will do some examples about multiplying and dividing Complex Numbers. we learn about how to raise a complex number to a power. Complex numbers are numbers that extend the concept of the one-dimensional number line to the two-dimensional complex plane. They consist of a real part and an imaginary part, and they are used in mathematics, physics, engineering, and other fields to s...
A Tricky question in complex numbers - American Invitational Mathematics Examination 2009, AIME
Переглядів 3316 годин тому
In this video we will do a question from American Invitational Mathematics Examination, about complex numbers. The American Invitational Mathematics Examination (AIME) is a selective and prestigious 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the ...
Some Tricky questions about Real and Imaginary parts and Conjugate of Complex Variables
19 годин тому
In this video I will show you some questions about real part and imaginary part and conjugate of complex numbers. Complex numbers are numbers that extend the concept of the one-dimensional number line to the two-dimensional complex plane. They consist of a real part and an imaginary part, and they are used in mathematics, physics, engineering, and other fields to solve problems that cannot be a...
Multiplying and dividing Complex Numbers and Raising to a Power - Not Easy Examples
Переглядів 3019 годин тому
Multiplying and dividing Complex Numbers and Raising to a Power - Not Easy Examples
Parallelogram Identity in Complex Variables - Parallelogram Law - Proof in 2 methods-Complex Numbers
Переглядів 2221 годину тому
Parallelogram Identity in Complex Variables - Parallelogram Law - Proof in 2 methods-Complex Numbers
Evaluating Limits by Factoring | Finding limits | Calculus
Переглядів 146День тому
Evaluating Limits by Factoring | Finding limits | Calculus
Solving Equations in Complex Variables - Complex Numbers - A little Harder Examples
Переглядів 23День тому
Solving Equations in Complex Variables - Complex Numbers - A little Harder Examples
Solving Equations in Complex Variables - Complex Numbers
Переглядів 16День тому
Solving Equations in Complex Variables - Complex Numbers
Integration of rational functions using completing the square method - Calculus
Переглядів 29День тому
Integration of rational functions using completing the square method - Calculus
Integrals involving absolute value function - Integral of Absolute value - Calculus
Переглядів 59День тому
Integrals involving absolute value function - Integral of Absolute value - Calculus
Absolute value Or Modulus of Complex Numbers properties and examples with proofs - Complex Variables
Переглядів 49День тому
Absolute value Or Modulus of Complex Numbers properties and examples with proofs - Complex Variables
Graphing Polynomial Functions - Factored form and Standard form - End Behaviour -
Переглядів 8314 днів тому
Graphing Polynomial Functions - Factored form and Standard form - End Behaviour -
Integral Zero Theorem Or Integral Root Theorem
Переглядів 2014 днів тому
Integral Zero Theorem Or Integral Root Theorem
Triangle Inequality for Complex Numbers- 3 different proofs and other inequalities-Complex Variables
Переглядів 5814 днів тому
Triangle Inequality for Complex Numbers- 3 different proofs and other inequalities-Complex Variables
Factor theorem - Factoring polynomials - divisible or NOT!
Переглядів 2814 днів тому
Factor theorem - Factoring polynomials - divisible or NOT!
Rational Zero Theorem Or Rational Root Theorem -possible rational Zeros of a polynomial-Pre-Calculus
Переглядів 13814 днів тому
Rational Zero Theorem Or Rational Root Theorem -possible rational Zeros of a polynomial-Pre-Calculus
Partial Derivatives - Laplace Equation and Harmonic functions - Calculus
Переглядів 4514 днів тому
Partial Derivatives - Laplace Equation and Harmonic functions - Calculus
Remainder Theorem - Finding Remainder of dividing a polynomial by x - a
Переглядів 5914 днів тому
Remainder Theorem - Finding Remainder of dividing a polynomial by x - a
Very good video
coooool
good material, good presentation
Finally! I have looking for this kind of video for a while now, thanks❤
Glad I could help!
Are you Iranian by any chance ? Your accent sounds so Persian 😍
big up my iranian friend!
Poo is yummy
Algebra rules. Once you master it, calculus comes easier.
Great video
can anyone explain, here why aren't we taking the second order derivative to check for the maximum and minimum points and then proceeding for the maximum and minimum value ??
@@mishaagarwal2565 in absolute max and min, we do not use 2nd derivative to find absolute max and min Because 2nd derivative is for relative max or min
And you have end points that you have to check out for abs max or min
why do we even use f''(x) ? when we can straight away put the values in the function and check the maximum and minimum point
@ this method of finding max and min only works when we have intervals Without interval also most of the times we can find max and min, but there are examples that the substitution method gives wrong answers
@@calculus997yes sir
Thank you very much
This video is amazing !!! - I loved your explanation. It has what all other videos lack of, which is explaining things such as why you can ignore some terms when calculating limits, or how to perform the "basic" fraction computations - I hadn't found a video like this in any other topic, and this is absolutely wonderful for someone who struggles to see that kind of steps in between. Thank you absolutely much !!
Omo ..tnks sir appreciate
Thanks for this. Appreciated. Subscribed.
I'm from ethiopia i have watched for 6 years your vedio waw it's amazing tanx my brother may god bless you you saved
A = (A)DD ADD (plus)
Thank you
If I knew very little about math where should I start? thanks
@@totallyscuffed9394 start from reviewing algebra
Can you help me with my calculus homework 😭
use chatgpt
amazing video sir
Your name so that we can look at all your videos
Excellent make more videos to understand calculus give your name so that we keep on downloading
You're so good. God bless and increase you in all areas of life.❤
Thank you😊
( √4 + cos( (4 + √4)!° ) )! = 6
major help !
You are the best, keep up the great work sir! I really did understand from your explanation.
❤❤
❤❤❤
❤❤❤
very nice
poxtu bly
qaqa heti ceber gavnodu
Just wanted to say that you helped me pass Calc II, I've never been good at math but somehow u made a miracle lmao
Thank you for explaining why certain things are done, like why we use parentheses for the negative to distribute. Little explanations like that really help.
Excellent sirrrrrrrr😭🤍
As far as squeeze theorem goes, here's the best I've ever watched! I'm grateful, Sir!
Thank you
Thanks
How did we get to second step please help 😭
OBRIGADOOOOOOOO
to the last question,its -1/3 because √1+1+√1=3 ,not 2
@@BrendaCasipong-n9c no It is multiplication between first radical and …
Thanks a lot you make it easy .
Lay not up for yourselves treasures upon earth, where moth and rust doth corrupt, and where thieves break through and steal: But lay up for yourselves treasures in heaven, where neither moth nor rust doth corrupt, and where thieves do not break through nor steal: For where your treasure is, there will your heart be also. Matthew 6:19-21
my prof tells me that in a particular case when you do the conjugate, you multiply the limit by the denominator, but you did it with the numerator. Why is that?
@@bandd4banddd it depends where the radicals are If they are in numerator then …. And if they are in denominator then …..
Thank you very much! These problems are the exact kind I was having trouble with. These videos are better than charity work man
You don’t start with division first , you totally skipped the multiplication and did that last. The answer is 1
No, you are wrong.
AWESOME
We can also use l'hotipal's method which is quick am i right?
@@AjeiIrigo yes
What are the asymptotes for sinx/1 cos x