MathsCasts Swinburne University of Technology

 Education
These MathsCasts were produced by the mathematics support centres at Swinburne University, the University of Limerick and Loughborough University. They were part of a collaborative research project to develop high quality resources and investigate the effectiveness of MathsCasts to support mathematics learning. The full set of resources are available at http://commons.swin.edu.au/s/mathscasts MathsCasts are licensed under a Creative Commons AttributionNonCommercialNoDerivs 3.0 Unported License

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Introduction to half range (even or odd expansion) Fourier series (MathsCasts)
Introduces the idea of halfrange Fourier series and addresses the question of why we use them.

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How do odd or even functions make calculation of Fourier series simpler? (MathsCasts)
Demonstrates that symmetry of functions helps us to shorten the calculation of the integrals needed for the Fourier coefficients.

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Calculating a Fourier series (MathsCasts)
Deals with the details of calculating Fourier series coefficients for a function.

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Why are circles, ellipses, parabolas and hyperbolas called 'conic sections'? Part 2 (MathsCasts)
We solve simultaneously the equations of a plane and a cone and show that the intersections are circles, parabolas, ellipses, hyperbolas, straight lines or just the origin.

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Sketching polynomial graphs without calculus  Part 1 (MathsCasts)
Sketch of y = 2(x+1)^23.

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What is a Laplace transform and why do you need to study it? (MathsCasts)
Brief introduction to why we use Laplace transforms, with mention of tables.