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MathsCasts: Roots of a Complex Number: Part 2
(Swinburne Commons, 2012)
Solve a question about finding the roots of a complex number.
MathsCasts: Roots of a Complex Number: Introduction
(Swinburne Commons, 2012)
Introduction - motivation to finding the roots of a complex number. Also explains how to plot complex numbers known modulus and angle and covers when two complex numbers are equal.
MathsCasts: Cartesian to Polar Form: Part 1
(Swinburne Commons, 2012)
This video reviews the variables involved in both forms of a complex numbers and deduces how to get the modulus and the angle when given a complex number in Cartesian form.
MathsCasts: Exponential Form: Part 2
(Swinburne Commons, 2012)
Covers the multiplication and division of complex numbers given in exponential and their equivalent formulas in polar form (deduced from the exponential ones) as an introduction to the deduction of De Moivre's Formula and ...
MathsCasts: Roots of a Complex Number: Part 1
(Swinburne Commons, 2012)
Deduces the formula for finding the roots of a complex number using as an example the cube roots of unity.
MathsCasts: Exponential Form: Part 1
(Swinburne Commons, 2012)
Introduces the exponential form of a complex number with a brief mention to power series so students can understand the importance of the angle being in radians.
MathsCasts: Cartesian to Polar Form: Part 3
(Swinburne Commons, 2012)
Example of getting the polar form of a complex number if the cartesian form is known(number placed in the fourth quadrant).
MathsCasts: Cartesian to Polar Form: Part 2
(Swinburne Commons, 2013)
Example of getting the polar form of a complex number if the cartesian form is known(number placed in the first quadrant).
MathsCasts: From Polar Form to Cartesian Form
(Swinburne Commons, 2012)
Example of getting the Cartesian form of a complex number if the polar form is known.
MathsCasts: Trigonometric Ratios in All Quadrants: Part 1
(Swinburne Commons, 2012)
Explains how to deal with the trig ratios of angles above 90. By using the unit circle the sign of the trig ratios in all quadrants are obtained.