Instructional Video6:10
Brian McLogan

Dividing complex numbers by multiplying by the conjugate

12th - Higher Ed
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Instructional Video1:32
Brian McLogan

Multiplication of Complex Numbers

12th - Higher Ed
👉 Learn how to multiply radical expressions. In this playlist we will explore multiplying radical expressions and then simplifying. We will explore the square root, cube root as well as the fourth root of numbers and algebraic expressions.
Instructional Video3:09
Brian McLogan

What is a complex numbers

12th - Higher Ed
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Instructional Video1:06:11
Brian McLogan

Complex Zeros of Polynomials | Polynomials | Pre-Calculus

12th - Higher Ed
In this video we explore how to determine the complex zeros of a polynomial function by factoring and division. We also will explore the fundamental theorem of algebra, Descartes rule of signs, and the rational zero test.
Instructional Video3:55
Brian McLogan

Given the imaginary zeros find the equation of the polynomial

12th - Higher Ed
👉 Learn how to write the equation of a polynomial when given imaginary zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Instructional Video3:51
Brian McLogan

Write the equation of the polynomial given the zeros

12th - Higher Ed
👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Instructional Video4:56
Brian McLogan

Given rational function find the vertical asymptote and hole

12th - Higher Ed
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Instructional Video3:14
Brian McLogan

How to Evaluate the tangent of double angle using the tangent double-angle formula

12th - Higher Ed
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Instructional Video4:44
Khan Academy

Introduction to Complex Numbers, Imaginary and Complex Numbers, Precalculus

9th - 11th Standards
This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...
Instructional Video7:21
Khan Academy

IIT JEE Complex Numbers (Part 1), Imaginary and Complex Numbers, Precalculus

9th - 11th
In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He shows how to divide two complex numbers but runs out of time and continues in the...
Instructional Video8:04
Khan Academy

Complex Conjugates, Imaginary and Complex Numbers, Precalculus

10th - 12th
Sal discusses the usefulness of the conjugate of the complex number in this video. First, he shows how to add a complex number and its conjugate graphically and algebraically. Then, he shows how to simplify a rational expression with...
Instructional Video12:58
Khan Academy

Complex Determinant Example, Imaginary and Complex Numbers, Precalculus

10th - 12th
Sal solves a complex determinant problem from the 2010 IIT entrance test. Knowledge of determinants, the exponential form of complex numbers, trigonometric ratios, and algebraic thinking are all utilized here.
Instructional Video5:20
Khan Academy

Introduction to I and Imaginary Numbers, Imaginary and Complex Numbers, Precalculus

9th - 11th
Students are always fascinated by imaginary numbers. In this video, Sal defines the imaginary unit, i, and shows that it has a cyclic nature when raising i to an exponent.
Instructional Video5:20
Khan Academy

Introduction to i and Imaginary Numbers, Imaginary and Complex Numbers, Precalculus

9th - 11th
Students are always fascinated by imaginary numbers. In this video, Sal defines the imaginary unit, i, and shows when raising i to an exponent, it has a cyclic nature.
Instructional Video3:24
Brightstorm

Introduction to Polar Coordinates - Concept

9th - 12th Standards
Learning polar coordinates does not require visiting the North Pole, though explaining igloos is much easier using polar coordinates. The lesson begins with a video explaining how to find coordinates on a spherical plane and how to...
Instructional Video
Khan Academy

Khan Academy: Precalculus: Imaginary and Complex Numbers: Basic Complex Analysis

9th - 10th Standards
This Khan Academy video lesson provides a concrete way to help students represent and visualize complex numbers. An Argand Diagram, magnitude, modulus, argument, and exponential forms are utilized in the lesson.