Browsing by Author "Weiss, V. (Vida)"
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MathsCasts: 2nd Order Differential Equation Initial Value Problem
Weiss, V. (Vida) (Swinburne Commons, 2012)An example of solving a second order differential equation (where the right hand side is an exponential function), given specific initial conditions y(0) and y'(0) are also provided.

MathsCasts: Adding and Subtracting Example
Weiss, V. (Vida) (Swinburne Commons, 2013)We look at several examples of adding and subtracting positive and negative numbers, including examples where there are two immediately adjacent signs (e.g. two negative signs).

MathsCasts: Adding and Subtracting Surds
Weiss, V. (Vida) (Swinburne Commons, 2013)We look at cases when we can add and subtract surds namely when terms can be rewritten with the same number under the square root sign. Two examples are given in the second example the surds need to be simplified before ...

MathsCasts: Addition of Binary Numbers
Weiss, V. (Vida) (Swinburne Commons, 2013)In this recording, addition of binary numbers is demonstrated, with reference to a specific example.

MathsCasts: Angle Between a Line and a Plane
Weiss, V. (Vida) (Swinburne Commons, 2011)Example where equation of a plane and scalar parametric equations of a line are given. To find the angle between the line and the plane, the equations of the line are converted to vector form, the angle between the line ...

MathsCasts: Angle Between Two Planes
Weiss, V. (Vida) (Swinburne Commons, 2011)This recording starts by giving the general formula for calculating the angle between two planes by finding the angle between their normal vectors. An example is then given to illustrate this.

MathsCasts: Area Between Two Curves
Weiss, V. (Vida) (Swinburne Commons, 2016)An example of using integration to find the area of a region that is bounded by 2 curves.

MathsCasts: Boolean Algebra: Example 1
Weiss, V. (Vida) (Swinburne Commons, 2011)An example of using the laws of Boolean Algebra to simplify a Boolean expression, including use of De Morgan's laws.

MathsCasts: Boolean Algebra: Example 2
Weiss, V. (Vida) (Swinburne Commons, 2011)Example of simplifying a Boolean expression using Boolean Algebra, with particular emphasis on using the rule (p+q)(p+r)=p+qr to help simplify an expression that otherwise would have involved extensive and timeconsuming ...

MathsCasts: Calculating a SecondOrder Derivative Where Implicit Differentiation is Required
Weiss, V. (Vida) (Swinburne Commons, 2016)This screen cast gives an example of calculating the first and second derivatives of a function where implicit differentiation is required.

MathsCasts: Chain Rule Part 2: Variables
Weiss, V. (Vida) (Swinburne Commons, 2011)Applies the multivariate chain rule to an example where z(x,y), x(t), y(t), to find dz/dt

MathsCasts: Changing Base of Logarithms
Weiss, V. (Vida) (Swinburne Commons, 2012)The general principle of changing base of logs (logarithms) is given and then this is illustrated with a specific example.

MathsCasts: Complex Cube Roots
Weiss, V. (Vida) (Swinburne Commons, 2012)An example of finding the cube roots of a complex number by first converting the number from Cartesian to polar form, then hence using De Moivre's Theorem to find the roots in polar form, and then converting the roots into ...

MathsCasts: Complex Exponential to Cartesian Form
Weiss, V. (Vida) (Swinburne Commons, 2012)Three examples are given to demonstrate how to convert complex numbers written in exponential polar form into Cartesian form.

MathsCasts: Complex Numbers Division
Weiss, V. (Vida) (Swinburne Commons, 2012)The general principle is explained of how to divide one complex number by another when both numbers are written in Cartesian form, so that the denominator of the final answer is a real number. A specific example of using ...

MathsCasts: Complex Polar Form
Weiss, V. (Vida) (Swinburne Commons, 2012)General explanation is given of how a complex number in Cartesian form can be converted to polar form z=rcis(@) and then 3 examples are given to illustrate this.

MathsCasts: Complex Regions
Weiss, V. (Vida) (Swinburne Commons, 2012)This recording looks at how to identify the nature of the region in the complex plane that satisfies zz0=r. This is then illustrated further with a specific example.

MathsCasts: Complex Regions Involving Inequalities
Weiss, V. (Vida) (Swinburne Commons, 2012)A discussion of how to sketch complex regions of form Izz0I<r, lzzol>r and related cases, This is then demonstrated with a specific example.

MathsCasts: Composite Hyperbolic Functions Involving an Inverse Function: Example 2
Weiss, V. (Vida) (Swinburne Commons, 2016)In this recording we look at a second example of how to write a composite hyperbolic function as an algebraic function of x.

MathsCasts: Converting a Line from Cartesian to Vector Form
Weiss, V. (Vida) (Swinburne Commons, 2012)Starts with an introduction to the equation of a straight line in 3D in both Cartesian and vector form. An example is then given of converting the Cartesian equations of a straight line into its scalar parametric equations ...