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Now showing items 21-30 of 572

#### MathsCasts: Solving Equations with Complex Roots

(Swinburne Commons, 2012)

An example of solving a degree four polynomial where all powers are even. The substitution w = z^2 is used to rewrite as quadratic, the quadratic formula is applied to find the two solutions and then the complex square ...

#### MathsCasts: Sketching 3D Curves

(Swinburne Commons, 2012)

Shows how to sketch a 3D curves which is given in vector form on 2D paper. The curve is rewritten in scalar parametric form, values for the parameter t are selected, and points on the curve calculated. These are then plotted ...

#### MathsCasts: Solving Quadratic Equations: Part 2

(Swinburne Commons, 2012)

Example of how to use the Guide Number method to solve a quadratic equation.

#### MathsCasts: Solving Quadratic Equations: Part 1

(Swinburne Commons, 2012)

Example of how to use the Guide Number method to solve a quadratic equation.

#### MathsCasts: Introduction to Limits

(Swinburne Commons, 2012)

Introduces the concept of a limit with graphed examples. Also, simple limit examples are completed.

#### Measure and Integration

(National Programme on Technology Enhanced Learning (NPTEL), 2014-02)

Modules / Lectures: Introduction and classes of sets; Measure; Extension of measures; The Lebesgue measure and its properties; Measurable functions; Integrations; Measure and integration on product spaces; Lebesgue measure ...

#### Modelling Pollution in the Great Lakes

(The Open University (OUUK), 2016-03)

This free course, Modelling pollution in the Great Lakes, is the first in the series of five courses that introduce the idea of modelling with mathematics. The course centres on a mathematical model of how pollution levels ...

#### MathsCasts: Find the Rational Function: Part 1

(Swinburne Commons, 2012)

This screencast compares the graph of a rational function four possible functions and discusses which rational function has produced the graph.

#### MathsCasts: A Fourier Series Integral

(Swinburne Commons, 2012)

We examine the integration involved in calculating some Fourier coefficients and discuss the approach to be taken when one has a formula sheet in comparison with having to calculate the integral on paper.

#### MathsCasts: Converting a Line from Cartesian to Vector Form

(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 ...