Complex Determinant Example, Imaginary and Complex Numbers, Precalculus

Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

Introducing exponential equations means learners need to take all the rules and tricks they learned for exponents and actually apply them. This presentation comes to the rescue by touching on changing bases in exponential...

This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...

If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real...

Sal solves the problem x^3 = 1 for all real and complex roots using the exponential form of the complex number. He shows how the roots found in the exponential form are the same as those in a more traditional form of a complex number...

This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...

A video [13:04] introducing complex analysis. Complex numbers are defined as a number having two parts: a real part and an imaginary part. The instructor shows how to graph these in the complex number plane. The video also explains how...

A video showing the step-by-step solution to a difficult determinant problem from the IIT-JEE. This is problem 53 from Paper 1 of the 2010 exam. A 3 X 3 matrix is given in terms of z and omega, where omega is defined as a complex number...

Exponents are number 34897 to the power of 0! The short video explains what a power function is. It also demonstrates how to identify the n portion in a standard, fraction, and square root example.

Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...