Browsing by Author "Gonzalez, M. (Maria)"
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MathsCasts: Addition and Subtraction of Complex Numbers in Cartesian Form
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Through a couple of examples, this screen cast shows how the addition and subtraction of complex numbers in Cartesian form works.

MathsCasts: Cartesian to Polar Form: Part 1
Gonzalez, M. (Maria) (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: Cartesian to Polar Form: Part 2
Gonzalez, M. (Maria) (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: Cartesian to Polar Form: Part 3
Gonzalez, M. (Maria) (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: Composition Notation
Gonzalez, M. (Maria) (Swinburne Commons, 2012)This video explains the appropriate notation to denote the composition of functions.

MathsCasts: Composition of Two Functions
Gonzalez, M. (Maria) (Swinburne Commons, 2012)This video covers two examples of the composition of two functions for the student to realize that the composition of functions is not generally commutative.

MathsCasts: Composition: What is it?
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Explains the concept of composing functions.

MathsCasts: Definition of a Complex Number
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Introduces the concept of complex numbers and the Cartesian form.

MathsCasts: Division in Cartesian Form: Part 1
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Covers the division of complex numbers given in Cartesian form introducing first the concept of the conjugate.

MathsCasts: Division in Cartesian Form: Part 2
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Following Part 1, this video demonstrates how to calculate the division of two complex numbers given in Cartesian form.

MathsCasts: Exponential Form: Part 1
Gonzalez, M. (Maria) (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: Exponential Form: Part 2
Gonzalez, M. (Maria) (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: From Polar Form to Cartesian Form
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Example of getting the Cartesian form of a complex number if the polar form is known.

MathsCasts: Indefinite Integration as Antidifferentiation
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Explains the concept of indefinite integration as the reverse of differentiation as well as the appearance of the constant of integration.

MathsCasts: Integration by Substitution: Exponential Functions: Part 1
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Applies the substitution for the integral of an exponential of the form a^x.

MathsCasts: Integration by Substitution: Exponential Functions: Part 2
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Applies the substitution for the integral of an exponential of the form e^x

MathsCasts: Integration by Substitution: Power Rule Part 1
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Following the previous video, the actual application of substitution is explained starting by its application to the power rule.

MathsCasts: Integration by Substitution: Power Rule: Part 2
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Applies the substitution for the power rule in a case where the integral needs to be rewritten by using the properties of indices before the substitution application.

MathsCasts: Integration by Substitution: Substitution Gives the Integral of 1/x
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Applies the substitution for the log integral in two different examples.

MathsCasts: Integration by Substitution: Trigonometric Functions
Gonzalez, M. (Maria) (Swinburne Commons, 2012)Applies the substitution two examples one involving the integral of sin and another one involving the integral of cos.